TY - JOUR A1 - Pawlik, Andreas H. A1 - Pikovskij, Arkadij T1 - Control of oscillators coherence by multiple delayed feedback JF - Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics N2 - 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. KW - phase diffusion KW - delayed feedback KW - control Y1 - 2006 U6 - https://doi.org/10.1016/j.physleta.2006.05.013 SN - 0375-9601 VL - 358 IS - 3 SP - 181 EP - 185 PB - American Institute of Physics CY - Amsterdam ER - TY - JOUR A1 - Perrin, Helene A1 - Colombe, Yves A1 - Mercier, Brigitte A1 - Lorent, Vincent A1 - Henkel, Carsten T1 - Diffuse reflection of a Bose-Einstein condensate from a rough evanescent wave mirror JF - Journal of physics : B, Atomic, molecular and optical physics N2 - 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. Y1 - 2006 U6 - https://doi.org/10.1088/0953-4075/39/22/009 SN - 0953-4075 VL - 39 SP - 4649 EP - 4658 PB - IOP Publ. CY - Bristol ER - TY - JOUR A1 - Heringer-Walther, Silvia A1 - Moreira, Maria da Consolacao V. A1 - Wessel, Niels A1 - Wang, Yong A1 - Ventura, Pago Moreira A1 - Schultheiss, Heinz-Peter A1 - Walther, Thomas T1 - Does the C-type natriuretic peptide have prognostic value in Chagas disease and other dilated cardiomyopathies JF - Journal of cardiovascular pharmacology N2 - 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. KW - cardiomyopathy KW - heart failure KW - natriuretic peptide system KW - Trypanosoma cruzi Y1 - 2006 U6 - https://doi.org/10.1097/01.fjc.0000249892.22635.46 SN - 0160-2446 VL - 48 IS - 6 SP - 293 EP - 298 PB - Lippincott Williams & Wilkins CY - Philadelphia ER - TY - JOUR A1 - Baptista, Murilo da Silva A1 - Grebogi, Celso A1 - Koberle, Roland T1 - Dynamically multilayered visual system of the multifractal fly JF - Physical review letters Y1 - 2006 U6 - https://doi.org/10.1103/PhysRevLett.97.178102 SN - 0031-9007 VL - 97 IS - 17 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Yang, Xiao Hui A1 - Jaiser, Frank A1 - Stiller, Burkhard A1 - Neher, Dieter A1 - Galbrecht, Frank A1 - Scherf, Ullrich T1 - Efficient polymer electrophosphoreseent devices with interfacial layers JF - Advanced functional materials N2 - 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. Y1 - 2006 U6 - https://doi.org/10.1002/adfm.200500834 SN - 1616-301X SN - 1616-3028 VL - 16 IS - 16 SP - 2156 EP - 2162 PB - Wiley-VCH CY - Weinheim ER - TY - JOUR A1 - Richter, Lothar A1 - Vollhardt, Dieter T1 - Force measuring methods for determination of surface tension of liquids: A comparison JF - Tenside, surfactants, detergents N2 - 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. N2 - Drei auf Kraftmessungen basierende Methoden zur Bestimmung der Oberflächenspannung von Flüssigkeiten, nämlich die Vertikalplattenmethode von Wilhelmy, die Bügelmethode von Lenard und die Ringmethode von du Noüy werden miteinander verglichen und auf ein experimentell zugängliches gemeinsames Korrekturprinzip hin untersucht. Auf Basis der Messresultate wird demonstriert, dass diese drei wichtigsten auf Kraftmessungen basierenden Methoden eine exakte Bestimmung der Oberflächenspannung ermöglichen. Dies basiert auf Berücksichtigung der Kraftkomponente der entsprechenden Flüssigkeitssäule unterhalb des Messdrahtes, der für die Austauchgerade bis zum Übergang in den gekrümmten Teil der Austauchkurve erhalten wird. Der experimentell zugängliche Wert der Kraftkomponente beschreibt den physikalischen Hintergrund der Messwertkorrektur im Gegensatz zu den auf mathematischen Weg erhaltenen Näherungsgleichungen. Gebräuchlicher Weise basiert die Bestimmung der Oberflächenspannung von Flüssigkeiten lediglich bei der Vertikalplattenmethode auf thermodynamisch-exakt ableitbaren Gleichungen, während bei Bügel- und Ringmethode Korrekturfaktoren für Näherungsgleichungen bzw. Korrekturtabellen üblich sind. Die so erhaltenen Oberflächenspannungswerte stimmen mit denen überein, die unter Berücksichtigung der Kraftkomponente der entsprechenden Flüssigkeitssäule unterhalb des Messdrahtes erhalten werden. Probleme, die mit zunehmender Dicke des Messdrahtes innerhalb und außerhalb des Rings entstehen, werden diskutiert. T2 - Kraftmessungsmethoden zur Bestimmung der Oberflächenspannung von Flüssigkeiten: Ein Vergleich KW - surface tension KW - force methods Y1 - 2006 U6 - https://doi.org/10.3139/113.100314 SN - 0932-3414 VL - 43 IS - 5 SP - 256 EP - 261 PB - Hanser CY - München ER - TY - JOUR A1 - Zhou, Changsong A1 - Zemanova, Lucia A1 - Zamora, Gorka A1 - Hilgetag, Claus C. A1 - Kurths, Jürgen T1 - Hierarchical organization unveiled by functional connectivity in complex brain networks JF - Physical review letters N2 - 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. Y1 - 2006 U6 - https://doi.org/10.1103/PhysRevLett.97.238103 SN - 0031-9007 SN - 1079-7114 VL - 97 PB - American Physical Society CY - College Park ER - TY - JOUR A1 - Oskinova, Lida A1 - Feldmeier, Achim A1 - Hamann, Wolf-Rainer T1 - High-resolution X-ray spectroscopy of bright O-type stars JF - Monthly notices of the Royal Astronomical Society N2 - 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. KW - stars : individual : zeta Pup KW - stars : individual : zeta Ori KW - stars : individual : xi Per KW - stars : individual : zeta Oph KW - X-rays : stars Y1 - 2006 U6 - https://doi.org/10.1111/j.1365-2966.2006.10858.x SN - 0035-8711 VL - 372 SP - 313 EP - 326 PB - Oxford University Press CY - Oxford ER - TY - JOUR A1 - Poeschel, Thorsten A1 - Brilliantov, Nikolai V. A1 - Formella, Arno T1 - Impact of high-energy tails on granular gas properties JF - Physical review : E, Statistical, nonlinear and soft matter physics N2 - 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. Y1 - 2006 U6 - https://doi.org/10.1103/PhysRevE.74.041302 SN - 1539-3755 SN - 1550-2376 VL - 74 IS - 4 PB - The American Physical Society CY - College Park ER - TY - JOUR A1 - Srama, Ralf A1 - Kempf, S. A1 - Moragas-Klostermeyer, Georg A1 - Helfert, S. A1 - Ahrens, T. J. A1 - Altobelli, N. A1 - Auer, S. A1 - Beckmann, U. A1 - Bradley, J. G. A1 - Burton, M. A1 - Dikarev, V. V. A1 - Economou, T. A1 - Fechtig, H. A1 - Green, S. F. A1 - Grande, M. A1 - Havnes, O. A1 - Hillierf, J.K. A1 - Horanyii, M. A1 - Igenbergsj, E. A1 - Jessberger, E. K. A1 - Johnson, T. V. A1 - Krüger, H. A1 - Matt, G. A1 - McBride, N. A1 - Mocker, A. A1 - Lamy, P. A1 - Linkert, D. A1 - Linkert, G. A1 - Lura, F. A1 - McDonnell, J.A.M. A1 - Möhlmann, D. A1 - Morfill, G. E. A1 - Postberg, F. A1 - Roy, M. A1 - Schwehm, G.H. A1 - Spahn, Frank A1 - Svestka, J. A1 - Tschernjawski, V. A1 - Tuzzolino, A. J. A1 - Wäsch, R. A1 - Grün, E. T1 - In situ dust measurements in the inner Saturnian system JF - Planetary and space science N2 - 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. KW - Cassini KW - dust KW - CDA KW - E-ring KW - water ice Y1 - 2006 U6 - https://doi.org/10.1016/j.pss.2006.05.021 SN - 0032-0633 VL - 54 IS - 9-10 SP - 967 EP - 987 PB - Elsevier CY - Oxford ER - TY - JOUR A1 - Joulain, Karl A1 - Henkel, Carsten A1 - Greffet, Jean-Jacques T1 - Influence of the dependence in temperature of the optical properties of materials on the Casimir force JF - Journal de physique IV N2 - Nous évaluons la force de Casimir entre deux surfaces planes métalliques constituées d'argent. Nous prenons, pour effectuer cette évaluation, des propriétés optiques de l'argent à différentes températures [1]. Nous montrons que cette dépendance en température modifie la force de Casimir (de 0.2%) y compris à des distances inférieures à la longueur d'onde thermique. Y1 - 2006 U6 - https://doi.org/10.1051/jp4:2006135021 SN - 1155-4339 VL - 135 SP - 113 EP - 114 PB - EDP Sciences CY - Les Ulis ER - TY - JOUR A1 - Donner, Reik Volker A1 - Seehafer, Norbert A1 - Sanjuan, Miguel Angel Fernandez A1 - Feudel, Fred T1 - Low-dimensional dynamo modelling and symmetry-breaking bifurcations JF - Physica. D, Nonlinear phenomena N2 - 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 Y1 - 2006 UR - http://www.sciencedirect.com/science/journal/01672789 U6 - https://doi.org/10.1016/j.physd.2006.08.022 SN - 0167-2789 VL - 223 IS - 2 SP - 151 EP - 162 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Mechau, Norman A1 - Saphiannikova, Marina A1 - Neher, Dieter T1 - Molecular tracer diffusion in thin azobenzene polymer layers JF - Applied physics letters N2 - 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. Y1 - 2006 U6 - https://doi.org/10.1063/1.2405853 SN - 0003-6951 VL - 89 IS - 25 PB - Elsevier CY - Melville ER - TY - JOUR A1 - Zaikin, Alexey A1 - Kurths, Jürgen T1 - Optimal length transportation hypothesis to model proteasome product size distribution JF - 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 N2 - 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. KW - proteasome KW - protein translocation KW - stochastic process KW - ratchets Y1 - 2006 U6 - https://doi.org/10.1007/s10867-006-9014-z SN - 0092-0606 VL - 32 IS - 3-4 SP - 231 EP - 243 PB - Springer CY - Dordrecht ER - TY - JOUR A1 - Saalfrank, Peter A1 - Nest, Mathias A1 - Andrianov, Igor V. A1 - Klamroth, Tillmann A1 - Kroner, Dominic A1 - Beyvers, Stephanie T1 - Quantum dynamics of laser-induced desorption from metal and semiconductor surfaces, and related phenomena N2 - 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) Y1 - 2006 UR - http://iopscience.iop.org/0953-8984/18/30/S05/pdf/0953-8984_18_30_S05.pdf U6 - https://doi.org/10.1088/0953-8984/18/30/S05 SN - 1361-648X SN - 0953-8984 VL - 18 IS - 30 SP - S1425 EP - S1459 PB - IOP Publ. CY - Bristol ER - TY - JOUR A1 - Assmann, Birte A1 - Thiel, Marco A1 - Romano, Maria Carmen A1 - Niemitz, Carsten T1 - Recurrence plot analyses suggest a novel reference system involved in newborn spontaneous movements JF - Behavior research methods : a journal of the Psychonomic Society N2 - 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. Y1 - 2006 U6 - https://doi.org/10.3758/BF03192793 SN - 1554-351X SN - 1554-3528 VL - 38 IS - 3 SP - 400 EP - 406 PB - Springer CY - New York ER - TY - JOUR A1 - Frübing, Peter A1 - Kremmer, Alexander A1 - Gerhard, Reimund A1 - Spanoudaki, Anna A1 - Pissis, Polycarpos T1 - Relaxation processes at the glass transition in polyamide 11: From rigidity to viscoelasticity JF - The journal of chemical physics : bridges a gap between journals of physics and journals of chemistr N2 - 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. Y1 - 2006 U6 - https://doi.org/10.1063/1.2360266 SN - 0021-9606 VL - 125 IS - 12 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Landa, Polina S. A1 - Ushakov, Vladimir A1 - Kurths, Jürgen T1 - Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals JF - Chaos, solitons & fractals : applications in science and engineering N2 - 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. Y1 - 2006 UR - http://www.sciencedirect.com/science/journal/09600779 U6 - https://doi.org/10.1016/j.chaos.2005.08.116 SN - 0960-0779 VL - 30 IS - 3 SP - 574 EP - 578 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Medrano-T., R. O. A1 - Baptista, Murilo da Silva A1 - Caldas, Ibere Luiz T1 - Shilnikov homoclinic orbit bifurcations in the Chua’s circuit JF - Chaos : an interdisciplinary journal of nonlinear science N2 - 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 Y1 - 2006 U6 - https://doi.org/10.1063/1.2401060 SN - 1054-1500 VL - 16 IS - 4 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Zou, Yong A1 - Thiel, M. A1 - Romano, Maria Carmen A1 - Kurths, Jürgen A1 - Bi, Q. T1 - Shrimp structure and associated dynamics in parametrically excited oscillators JF - International journal of bifurcation and chaos : in applied sciences and engineering N2 - 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. KW - bifurcation analysis KW - recurrence plot KW - period doubling KW - intermittency Y1 - 2006 U6 - https://doi.org/10.1142/S0218127406016987 SN - 0218-1274 VL - 16 IS - 12 SP - 3567 EP - 3579 PB - World Scientific Publ. Co CY - Singapore ER -