@article{PawlikPikovskij2006, author = {Pawlik, Andreas H. and Pikovskij, Arkadij}, title = {Control of oscillators coherence by multiple delayed feedback}, series = {Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics}, volume = {358}, journal = {Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics}, number = {3}, publisher = {American Institute of Physics}, address = {Amsterdam}, issn = {0375-9601}, doi = {10.1016/j.physleta.2006.05.013}, pages = {181 -- 185}, year = {2006}, abstract = {We demonstrate that a multiple delayed feedback is a powerful tool to control coherence properties of autonomous self-sustained oscillators. We derive the equation for the phase dynamics in presence of noise and delay, and analyze it analytically. In Gaussian approximation a closed set of equations for the frequency and the diffusion constant is obtained. Solutions of these equations are in good agreement with direct numerical simulations.}, language = {en} } @article{PerrinColombeMercieretal.2006, author = {Perrin, Helene and Colombe, Yves and Mercier, Brigitte and Lorent, Vincent and Henkel, Carsten}, title = {Diffuse reflection of a Bose-Einstein condensate from a rough evanescent wave mirror}, series = {Journal of physics : B, Atomic, molecular and optical physics}, volume = {39}, journal = {Journal of physics : B, Atomic, molecular and optical physics}, publisher = {IOP Publ.}, address = {Bristol}, issn = {0953-4075}, doi = {10.1088/0953-4075/39/22/009}, pages = {4649 -- 4658}, year = {2006}, abstract = {We present experimental results showing the diffuse reflection of a Bose Einstein condensate from a rough mirror, consisting of a dielectric substrate supporting a blue-detuned evanescent wave. The scattering is anisotropic, more pronounced in the direction of the surface propagation of the evanescent wave. These results agree very well with theoretical predictions.}, language = {en} } @article{HeringerWaltherMoreiraWesseletal.2006, author = {Heringer-Walther, Silvia and Moreira, Maria da Consolacao V. and Wessel, Niels and Wang, Yong and Ventura, Pago Moreira and Schultheiss, Heinz-Peter and Walther, Thomas}, title = {Does the C-type natriuretic peptide have prognostic value in Chagas disease and other dilated cardiomyopathies}, series = {Journal of cardiovascular pharmacology}, volume = {48}, journal = {Journal of cardiovascular pharmacology}, number = {6}, publisher = {Lippincott Williams \& Wilkins}, address = {Philadelphia}, issn = {0160-2446}, doi = {10.1097/01.fjc.0000249892.22635.46}, pages = {293 -- 298}, year = {2006}, abstract = {Atrial natriuretic peptides (ANP) and brain natriuretic peptides (BNP) are powerful neurohormonal indicators of left-ventricular function and prognosis in heart failure (HF). Chagas disease (CD) caused by the protozoan Trypanosoma cruzi. remains a major cause of HF in Latin America. We assessed whether the plasma concentration of the third natriuretic peptide, C-type natnuretic peptide (CNP), also has diagnostic and prognostic properties in patients with CD or other dilated cardiomyopathies (DCM). Blood samples were obtained from 66 patients with CD, 50 patients with DCM from other causes, and 30 gender- and age-matched healthy subjects. Patients were subdivided according to the New York Heart Association (NYHA) class. The CNP concentration was determined by radioimmunoassay (Immundiagnostik, Bensheim, Germany). The main duration of follow-up was 31.4 months (range 13 to 54 months), 19 patients had died and 11 patients received a heart transplant. CNP concentrations were only significantly altered in patients with DCM or CD of the NYHA classes III and IV (P < 0.05). The Pearson correlation of echocardiographic data with CNP revealed an association only with the left-ventricular end systolic volume (P = 0.03) in patients with DCM. Furthermore, CNP did not predict mortality or the necessity for heart transplant. Our data are the first to demonstrate the raised levels of the third natriuretic peptide CNP in CD and other DCM Whereas ANP and BNP have a high predictive value for mortality in both diseases, CNP is without any predictive potency.}, language = {en} } @article{BaptistaGrebogiKoberle2006, author = {Baptista, Murilo da Silva and Grebogi, Celso and Koberle, Roland}, title = {Dynamically multilayered visual system of the multifractal fly}, series = {Physical review letters}, volume = {97}, journal = {Physical review letters}, number = {17}, publisher = {American Physical Society}, address = {College Park}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.97.178102}, pages = {4}, year = {2006}, language = {en} } @article{YangJaiserStilleretal.2006, author = {Yang, Xiao Hui and Jaiser, Frank and Stiller, Burkhard and Neher, Dieter and Galbrecht, Frank and Scherf, Ullrich}, title = {Efficient polymer electrophosphoreseent devices with interfacial layers}, series = {Advanced functional materials}, volume = {16}, journal = {Advanced functional materials}, number = {16}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {1616-301X}, doi = {10.1002/adfm.200500834}, pages = {2156 -- 2162}, year = {2006}, abstract = {It is shown that several polymers can form insoluble interfacial layers on a poly (ethylenedioxythiophene):poly(styrene sulfonate) (PEDOT:PSS) layer after annealing of the double-layer structure. The thickness of the interlayer is dependent on the characteristics of the underlying PEDOT.PSS and the molecular weight of the polymers. It is further shown that the electronic structures of the interlayer polymers have a significant effect on the properties of red-light-emitting polymer-based electrophosphorescent devices. Upon increasing the highest occupied molecular orbital and lowest unoccupied molecular orbital positions, a significant increase in current density and device efficiency is observed. This is attributed to efficient blocking of electrons in combination with direct injection of holes from the interlayer to the phosphorescent dye. Upon proper choice of the interlayer polymer, efficient red, polymer-based electrophosphorescent devices with a peak luminance efficiency of 5.5 cd A(-1) (external quantum efficiency = 6 \%) and a maximum power-conversion efficiency of 5 Im W-1 can be realized.}, language = {en} } @article{RichterVollhardt2006, author = {Richter, Lothar and Vollhardt, Dieter}, title = {Force measuring methods for determination of surface tension of liquids: A comparison}, series = {Tenside, surfactants, detergents}, volume = {43}, journal = {Tenside, surfactants, detergents}, number = {5}, publisher = {Hanser}, address = {M{\"u}nchen}, issn = {0932-3414}, doi = {10.3139/113.100314}, pages = {256 -- 261}, year = {2006}, abstract = {Three methods for the determination of the surface tension of liquids based on force measurements namely, the vertical plate method of Wilhelmy, the frame method of Lenard and the ring method of du Nouy are compared and studied in respect of a common principle of correction. It is shown that these three most important force-based methods allow the determination of the surface tension under static conditions. The force components of the corresponding liquid column below the measuring wire obtained for the straight part of the withdrawal curve up to the transition in its curved part provides exact surface tension values. The experimentally accessible value of the force component describes the physical background of the measured value correction contrary to the approximate equations obtained by mathematical way. Usually the determination of surface tension of liquids is based merely at the vertical plate method on exact equations thermodynamically derived whereas in the case of the frame and ring methods correction factors in approximate equations are used. At usual application of the force-based methods under the non-static condition of the withdrawal of a liquid column, the force maximum measured at withdrawal of the measuring object (plate, frame, or ring) is the basis for the determination of surface tension. In these cases, the measured surface tension values are compensated by correction equations for the frame and ring methods which are based on an correction factor and correction tables empirically obtained. The surface tension values obtained in this usual way agree with those obtained by using the force component of the corresponding liquid column below the measuring wire for the straight part of the withdrawal curve up to the transition in its curved part. Problems arising at the force measurements with increasing thickness of the measuring wires inside and outside the rings are discussed.}, language = {en} } @article{ZhouZemanovaZamoraetal.2006, author = {Zhou, Changsong and Zemanova, Lucia and Zamora, Gorka and Hilgetag, Claus C. and Kurths, J{\"u}rgen}, title = {Hierarchical organization unveiled by functional connectivity in complex brain networks}, series = {Physical review letters}, volume = {97}, journal = {Physical review letters}, publisher = {American Physical Society}, address = {College Park}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.97.238103}, pages = {4}, year = {2006}, abstract = {How do diverse dynamical patterns arise from the topology of complex networks? We study synchronization dynamics in the cortical brain network of the cat, which displays a hierarchically clustered organization, by modeling each node (cortical area) with a subnetwork of interacting excitable neurons. We find that in the biologically plausible regime the dynamics exhibits a hierarchical modular organization, in particular, revealing functional clusters coinciding with the anatomical communities at different scales. Our results provide insights into the relationship between network topology and functional organization of complex brain networks.}, language = {en} } @article{OskinovaFeldmeierHamann2006, author = {Oskinova, Lida and Feldmeier, Achim and Hamann, Wolf-Rainer}, title = {High-resolution X-ray spectroscopy of bright O-type stars}, series = {Monthly notices of the Royal Astronomical Society}, volume = {372}, journal = {Monthly notices of the Royal Astronomical Society}, publisher = {Oxford University Press}, address = {Oxford}, issn = {0035-8711}, doi = {10.1111/j.1365-2966.2006.10858.x}, pages = {313 -- 326}, year = {2006}, abstract = {Archival X-ray spectra of the four prominent single, non-magnetic O stars zeta Pup, zeta Ori, xi Per and zeta Oph, obtained in high resolution with Chandra HETGS/MEG have been studied. The resolved X-ray emission line profiles provide information about the shocked, hot gas which emits the X-radiation, and about the bulk of comparably cool stellar wind material which partly absorbs this radiation. In this paper, we synthesize X-ray line profiles with a model of a clumpy stellar wind. We find that the geometrical shape of the wind inhomogeneities is important: better agreement with the observations can be achieved with radially compressed clumps than with spherical clumps. The parameters of the model, i.e. chemical abundances, stellar radius, mass-loss rate and terminal wind velocity, are taken from existing analyses of UV and optical spectra of the programme stars. On this basis, we also calculate the continuum-absorption coefficient of the cool-wind material, using the Potsdam Wolf-Rayet (POWR) model atmosphere code. The radial location of X-ray emitting gas is restricted from analysing the FIR line ratios of helium-like ions. The only remaining free parameter of our model is the typical distance between the clumps; here, we assume that at any point in the wind there is one clump passing by per one dynamical time-scale of the wind. The total emission in a model line is scaled to the observation. There is a good agreement between synthetic and observed line profiles. We conclude that the X-ray emission line profiles in O stars can be explained by hot plasma embedded in a cool wind which is highly clumped in the form of radially compressed shell fragments.}, language = {en} } @article{PoeschelBrilliantovFormella2006, author = {Poeschel, Thorsten and Brilliantov, Nikolai V. and Formella, Arno}, title = {Impact of high-energy tails on granular gas properties}, series = {Physical review : E, Statistical, nonlinear and soft matter physics}, volume = {74}, journal = {Physical review : E, Statistical, nonlinear and soft matter physics}, number = {4}, publisher = {The American Physical Society}, address = {College Park}, issn = {1539-3755}, doi = {10.1103/PhysRevE.74.041302}, pages = {5}, year = {2006}, abstract = {The velocity distribution function of granular gases in the homogeneous cooling state as well as some heated granular gases decays for large velocities as f proportional to exp(-const x nu). That is, its high-energy tail is overpopulated as compared with the Maxwell distribution. At the present time, there is no theory to describe the influence of the tail on the kinetic characteristics of granular gases. We develop an approach to quantify the overpopulated tail and analyze its impact on granular gas properties, in particular on the cooling coefficient. We observe and explain anomalously slow relaxation of the velocity distribution function to its steady state.}, language = {en} } @article{SramaKempfMoragasKlostermeyeretal.2006, author = {Srama, Ralf and Kempf, S. and Moragas-Klostermeyer, Georg and Helfert, S. and Ahrens, T. J. and Altobelli, N. and Auer, S. and Beckmann, U. and Bradley, J. G. and Burton, M. and Dikarev, V. V. and Economou, T. and Fechtig, H. and Green, S. F. and Grande, M. and Havnes, O. and Hillierf, J.K. and Horanyii, M. and Igenbergsj, E. and Jessberger, E. K. and Johnson, T. V. and Kr{\"u}ger, H. and Matt, G. and McBride, N. and Mocker, A. and Lamy, P. and Linkert, D. and Linkert, G. and Lura, F. and McDonnell, J.A.M. and M{\"o}hlmann, D. and Morfill, G. E. and Postberg, F. and Roy, M. and Schwehm, G.H. and Spahn, Frank and Svestka, J. and Tschernjawski, V. and Tuzzolino, A. J. and W{\"a}sch, R. and Gr{\"u}n, E.}, title = {In situ dust measurements in the inner Saturnian system}, series = {Planetary and space science}, volume = {54}, journal = {Planetary and space science}, number = {9-10}, publisher = {Elsevier}, address = {Oxford}, issn = {0032-0633}, doi = {10.1016/j.pss.2006.05.021}, pages = {967 -- 987}, year = {2006}, abstract = {In July 2004 the Cassini-Huygens mission reached the Saturnian system and started its orbital tour. A total of 75 orbits will be carried out during the primary mission until August 2008. In these four years Cassini crosses the ring plane 150 times and spends approx. 400 h within Titan's orbit. The Cosmic Dust Analyser (CDA) onboard Cassini characterises the dust environment with its extended E ring and embedded moons. Here, we focus on the CDA results of the first year and we present the Dust Analyser (DA) data within Titan's orbit. This paper does investigate High Rate Detector data and dust composition measurements. The authors focus on the analysis of impact rates, which were strongly variable primarily due to changes of the spacecraft pointing. An overview is given about the ring plane crossings and the DA counter measurements. The DA dust impact rates are compared with the DA boresight configuration around all ring plane crossings between June 2004 and July 2005. Dust impacts were registered at altitudes as high as 100 000 km above the ring plane at distances from Saturn between 4 and 10 Saturn radii. In those regions the dust density of particles bigger than 0.5 can reach values of 0.001m-3.}, language = {en} } @article{JoulainHenkelGreffet2006, author = {Joulain, Karl and Henkel, Carsten and Greffet, Jean-Jacques}, title = {Influence of the dependence in temperature of the optical properties of materials on the Casimir force}, series = {Journal de physique IV}, volume = {135}, journal = {Journal de physique IV}, publisher = {EDP Sciences}, address = {Les Ulis}, issn = {1155-4339}, doi = {10.1051/jp4:2006135021}, pages = {113 -- 114}, year = {2006}, abstract = {Nous {\´e}valuons la force de Casimir entre deux surfaces planes m{\´e}talliques constitu{\´e}es d'argent. Nous prenons, pour effectuer cette {\´e}valuation, des propri{\´e}t{\´e}s optiques de l'argent {\`a} diff{\´e}rentes temp{\´e}ratures [1]. Nous montrons que cette d{\´e}pendance en temp{\´e}rature modifie la force de Casimir (de 0.2\%) y compris {\`a} des distances inf{\´e}rieures {\`a} la longueur d'onde thermique.}, language = {fr} } @article{DonnerSeehaferSanjuanetal.2006, author = {Donner, Reik Volker and Seehafer, Norbert and Sanjuan, Miguel Angel Fernandez and Feudel, Fred}, title = {Low-dimensional dynamo modelling and symmetry-breaking bifurcations}, series = {Physica. D, Nonlinear phenomena}, volume = {223}, journal = {Physica. D, Nonlinear phenomena}, number = {2}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0167-2789}, doi = {10.1016/j.physd.2006.08.022}, pages = {151 -- 162}, year = {2006}, abstract = {Motivated by the successful Karlsruhe dynamo experiment, a relatively low-dimensional dynamo model is proposed. It is based on a strong truncation of the magnetohydrodynamic (MHD) equations with an external forcing of the Roberts type and the requirement that the model system satisfies the symmetries of the full MHD system, so that the first symmetry-breaking bifurcations can be captured. The backbone of the Roberts dynamo is formed by the Roberts flow, a helical mean magnetic field and another part of the magnetic field coupled to these two by triadic mode interactions. A minimum truncation model (MTM) containing only these energetically dominating primary mode triads is fully equivalent to the widely used first-order smoothing approximation. However, it is shown that this approach works only in the limit of small wave numbers of the excited magnetic field or small magnetic Reynolds numbers (\$Rm ll 1\$). To obtain dynamo action under more general conditions, secondary mode}, language = {en} } @article{MechauSaphiannikovaNeher2006, author = {Mechau, Norman and Saphiannikova, Marina and Neher, Dieter}, title = {Molecular tracer diffusion in thin azobenzene polymer layers}, series = {Applied physics letters}, volume = {89}, journal = {Applied physics letters}, number = {25}, publisher = {Elsevier}, address = {Melville}, issn = {0003-6951}, doi = {10.1063/1.2405853}, pages = {3}, year = {2006}, abstract = {Translational diffusion of fluorescent tracer molecules in azobenzene polymer layers is studied at different temperatures and under illumination using the method of fluorescence recovery after photobleaching. Diffusion is clearly observed in the dark above the glass transition temperature, while homogeneous illumination at 488 nm and 100 mW/cm(2) does not cause any detectable diffusion of the dye molecules within azobenzene layers. This implies that the viscosity of azobenzene layers remains nearly unchanged under illumination with visible light in the absence of internal or external forces. (c) 2006 American Institute of Physics.}, language = {en} } @article{ZaikinKurths2006, author = {Zaikin, Alexey and Kurths, J{\"u}rgen}, title = {Optimal length transportation hypothesis to model proteasome product size distribution}, series = {Journal of biological physics : emphasizing physical principles in biological research ; an international journal for the formulation and application of mathematical models in the biological sciences}, volume = {32}, journal = {Journal of biological physics : emphasizing physical principles in biological research ; an international journal for the formulation and application of mathematical models in the biological sciences}, number = {3-4}, publisher = {Springer}, address = {Dordrecht}, issn = {0092-0606}, doi = {10.1007/s10867-006-9014-z}, pages = {231 -- 243}, year = {2006}, abstract = {This paper discusses translocation features of the 20S proteasome in order to explain typical proteasome length distributions. We assume that the protein transport depends significantly on the fragment length with some optimal length which is transported most efficiently. By means of a simple one-channel model, we show that this hypothesis can explain both the one- and the three-peak length distributions found in experiments. A possible mechanism of such translocation is provided by so-called fluctuation-driven transport.}, language = {en} } @article{SaalfrankNestAndrianovetal.2006, author = {Saalfrank, Peter and Nest, Mathias and Andrianov, Igor V. and Klamroth, Tillmann and Kroner, Dominic and Beyvers, Stephanie}, title = {Quantum dynamics of laser-induced desorption from metal and semiconductor surfaces, and related phenomena}, volume = {18}, number = {30}, publisher = {IOP Publ.}, address = {Bristol}, issn = {1361-648X}, doi = {10.1088/0953-8984/18/30/S05}, pages = {S1425 -- S1459}, year = {2006}, abstract = {Recent progress towards a quantum theory of laser-induced desorption and related phenomena is reviewed, for specific examples. These comprise the photodesorption of NO from Pt(111), the scanning tunnelling microscope and laser- induced desorption and switching of H at Si(100), and the electron stimulated desorption and dissociation of CO at Ru(0001). The theoretical methods used for nuclear dynamics range from open-system density matrix theory over nonadiabatically coupled multi-state models to electron-nuclear wavepackets. Also, aspects of time-dependent spectroscopy to probe ultrafast nonadiabatic processes at surfaces will be considered for the example of two-photon photoemission of solvated electrons in ice layers on Cu(111)}, language = {en} } @article{AssmannThielRomanoetal.2006, author = {Assmann, Birte and Thiel, Marco and Romano, Maria Carmen and Niemitz, Carsten}, title = {Recurrence plot analyses suggest a novel reference system involved in newborn spontaneous movements}, series = {Behavior research methods : a journal of the Psychonomic Society}, volume = {38}, journal = {Behavior research methods : a journal of the Psychonomic Society}, number = {3}, publisher = {Springer}, address = {New York}, issn = {1554-351X}, doi = {10.3758/BF03192793}, pages = {400 -- 406}, year = {2006}, abstract = {The movements of newborns have been thoroughly studied in terms of reflexes, muscle synergies, leg coordination, and target-directed arm/hand movements. Since these approaches have concentrated mainly on separate accomplishments, there has remained a clear need for more integrated investigations. Here, we report an inquiry in which we explicitly concentrated on taking such a perspective and, additionally, were guided by the methodological concept of home base behavior, which Ilan Golard developed for studies of exploratory behavior in animals. Methods from nonlinear dynamics, such as symbolic dynamics and recurrence plot analyses of kinematic data received from audiovisual newborn recordings, yielded new insights into the spatial and temporal organization of limb movements. In the framework of home base behavior, our approach uncovered a novel reference system of spontaneous newborn movements.}, language = {en} } @article{FruebingKremmerGerhardetal.2006, author = {Fr{\"u}bing, Peter and Kremmer, Alexander and Gerhard, Reimund and Spanoudaki, Anna and Pissis, Polycarpos}, title = {Relaxation processes at the glass transition in polyamide 11: From rigidity to viscoelasticity}, series = {The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr}, volume = {125}, journal = {The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr}, number = {12}, publisher = {American Institute of Physics}, address = {Melville}, issn = {0021-9606}, doi = {10.1063/1.2360266}, pages = {8}, year = {2006}, abstract = {Relaxation processes associated with the glass transition in nonferroelectric and ferroelectric polyamide (PA) 11 are investigated by means of differential scanning calorimetry, dynamic mechanical analysis, and dielectric relaxation spectroscopy (DRS) in order to obtain information about the molecular mobility within the amorphous phase. In particular, the effects of melt quenching, cold drawing, and annealing just below the melting region are studied with respect to potential possibilities and limitations for improving the piezoelectric and pyroelectric properties of PA 11. A relaxation map is obtained from DRS that shows especially the crossover region where the cooperative alpha relaxation and the local beta relaxation merge into a single high-temperature process. No fundamental difference between quenched, cold-drawn, and annealed films is found, though in the cold-drawn (ferroelectric) film the alpha relaxation is suppressed and slowed down, but it is at least partly recovered by subsequent annealing. It is concluded that there exists an amorphous phase in all structures, even in the cold-drawn film. The amorphous phase can be more rigid or more viscoelastic depending on preparation. Cold drawing not only leads to crystallization in a ferroelectric form but also to higher rigidity of the remaining amorphous phase. Annealing just below the melting region after cold drawing causes a stronger phase separation between the crystalline phase and a more viscoelastic amorphous phase.}, language = {en} } @article{LandaUshakovKurths2006, author = {Landa, Polina S. and Ushakov, Vladimir and Kurths, J{\"u}rgen}, title = {Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals}, series = {Chaos, solitons \& fractals : applications in science and engineering}, volume = {30}, journal = {Chaos, solitons \& fractals : applications in science and engineering}, number = {3}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0960-0779}, doi = {10.1016/j.chaos.2005.08.116}, pages = {574 -- 578}, year = {2006}, abstract = {The results of the theoretical consideration of stochastic resonance in overdamped bistable oscillators are given. These results are founded not on the model of two states as in [McNamara B, Wiesenfeld K. Theory of stochastic resonance. Phys Rev A 1989;39:4854-69], but on splitting of motion into regular and random and the rigorous solution of the Fokker-Planck equation for the random component. We show that this resonance is caused by a change, under the influence of noise, of the system's effective stiffness and damping factor contained in the equation for the regular component. For a certain value of the noise intensity the effective stiffness is minimal, and this fact causes non-monotonic change of the output signal amplitude as the noise intensity changes. It is important that the location of the minimum and its value depend essentially on the signal frequency.}, language = {en} } @article{MedranoTBaptistaCaldas2006, author = {Medrano-T., R. O. and Baptista, Murilo da Silva and Caldas, Ibere Luiz}, title = {Shilnikov homoclinic orbit bifurcations in the Chua's circuit}, series = {Chaos : an interdisciplinary journal of nonlinear science}, volume = {16}, journal = {Chaos : an interdisciplinary journal of nonlinear science}, number = {4}, publisher = {American Institute of Physics}, address = {Melville}, issn = {1054-1500}, doi = {10.1063/1.2401060}, pages = {9}, year = {2006}, abstract = {We analytically describe the complex scenario of homoclinic bifurcations in the Chua's circuit. We obtain a general scaling law that gives the ratio between bifurcation parameters of different nearby homoclinic orbits. As an application of this theoretical approach, we estimate the number of higher order subsidiary homoclinic orbits that appear between two consecutive lower order subsidiary orbits. Our analytical finds might be valid for a large class of dynamical systems and are numerically confirmed in the parameter space of the Chua's circuit. Shilnikov homoclinic orbits are trajectories that depart from a fixed saddle-focus point, with specific eigenvalues, and return to it after an infinite amount of time (that is also true to time reversal evolution). That results in an orbit that is unstable and has an infinite period. These two main characteristics contribute in the hardness for its observation in a dynamical system as well as in nature. However, its presence reveals fundamental characteristics of the system involved, as the existence of unstable periodic orbits embedded in a chaotic set. Once the unstable periodic orbits give invariants quantities of this set,1 the Shilnikov homoclinic orbits are also related to the characteristics of the chaotic set. Their connection with the fundamental dynamical properties is verified in a wide variety of systems. A series of numerical and experimental investigations reveal how Shilnikov homoclinic orbits, in the vicinity of a chaotic attractor, determine its dynamical and topological properties.4 Thus, the Shilnikov orbits are related to the returning time of the trajectory of a CO2 laser,5 also to the topology of a glow-discharge system.6 Moreover, some class of spiking neurons are modeled by chaos governed by such orbits,7,8 and their presence are connected to the intermittence present in rabbit arteries.9 These orbits are shown to be behind the mechanism of noise-induced phenomena,10 and they are also responsible for the dynamics of an electrochemical oscillator.11 In this work, we contribute to the understanding of how Shilnikov homoclinic orbits appear on the parameter space of systems as the ones above mentioned, by showing that these orbits are not only distributed following an universal rule but also exist for large parameter variations. We then confirm our previsions in the Chua's circuit system}, language = {en} } @article{ZouThielRomanoetal.2006, author = {Zou, Yong and Thiel, M. and Romano, Maria Carmen and Kurths, J{\"u}rgen and Bi, Q.}, title = {Shrimp structure and associated dynamics in parametrically excited oscillators}, series = {International journal of bifurcation and chaos : in applied sciences and engineering}, volume = {16}, journal = {International journal of bifurcation and chaos : in applied sciences and engineering}, number = {12}, publisher = {World Scientific Publ. Co}, address = {Singapore}, issn = {0218-1274}, doi = {10.1142/S0218127406016987}, pages = {3567 -- 3579}, year = {2006}, abstract = {We investigate the bifurcation structures in a two-dimensional parameter space (PS) of a parametrically excited system with two degrees of freedom both analytically and numerically. By means of the Renyi entropy of second order K-2, which is estimated from recurrence plots, we uncover that regions of chaotic behavior are intermingled with many complex periodic windows, such as shrimp structures in the PS. A detailed numerical analysis shows that, the stable solutions lose stability either via period doubling, or via intermittency when the parameters leave these shrimps in different directions, indicating different bifurcation properties of the boundaries. The shrimps of different sizes offer promising ways to control the dynamics of such a complex system.}, language = {en} }