TY  - INPR
A1  - Pikovskij, Arkadij
T1  - Comment on "Asymptotic Phase for Stochastic Oscillators"
T2  - Physical review letters
Y1  - 2015
U6  - https://doi.org/10.1103/PhysRevLett.115.069401
SN  - 0031-9007
SN  - 1079-7114
VL  - 115
IS  - 6
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - INPR
A1  - Bürger, Gerd
T1  - Comment on "Bias correction, quantile mapping, and downscaling: revisiting the inflation issue"
T2  - Journal of climate
N2  - In a recent paper, Maraun describes the adverse effects of quantile mapping on downscaling. He argues that when large-scale GCM variables are rescaled directly to small-scale fields or even station data, genuine small-scale covariability is lost and replaced by uniform variability inherited from the larger scales. This leads to a misrepresentation mainly of areal means and long-term trends. This comment acknowledges the former point, although the argument is relatively old, but disagrees with the latter, showing that grid-size long-term trends can be different from local trends. Finally, because it is partly incorrectly addressed, some clarification is added regarding the inflation issue, stressing that neither randomization nor inflation is free of unverified assumptions.
KW  - Climate change
KW  - Statistics
KW  - Climate variability
Y1  - 2014
U6  - https://doi.org/10.1175/JCLI-D-13-00184.1
SN  - 0894-8755
SN  - 1520-0442
VL  - 27
IS  - 4
SP  - 1819
EP  - 1820
PB  - American Meteorological Soc.
CY  - Boston
ER  - 
TY  - INPR
A1  - Föhlisch, Alexander
A1  - de Groot, F. M. F.
A1  - Odelius, Michael
A1  - Techert, Simone
A1  - Wernet, P.
T1  - Comment on "state-dependent electron delocalization dynamics at the solute-solvent interface: soft-x-ray absorption spectroscopy and lambda b initio calculations"
T2  - Physical review letters
Y1  - 2014
U6  - https://doi.org/10.1103/PhysRevLett.112.129302
SN  - 0031-9007
SN  - 1079-7114
VL  - 112
IS  - 12
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - INPR
A1  - Henkel, Carsten
A1  - Pieplow, Gregor
T1  - Reply to Comment on 'Fully covariant radiation force on a polarizable particle'
T2  - New journal of physics : the open-access journal for physics
N2  - We argue that the theories of Volokitin and Persson (2014 New J. Phys. 16 118001), Dedkov and Kyasov (2008 J. Phys.: Condens. Matter 20 354006), and Pieplow and Henkel (2013 New J. Phys. 15 023027) agree on the electromagnetic force on a small, polarizable particle that is moving parallel to a planar, macroscopic body, as far as the contribution of evanescent waves is concerned. The apparent differences are discussed in detail and explained by choices of units and integral transformations. We point out in particular the role of the Lorentz contraction in the procedure used by Volokitin and Persson, where a macroscopic body is 'diluted' to obtain the force on a small particle. Differences that appear in the contribution of propagating photons are briefly mentioned.
KW  - applied classical electromagnetism
KW  - fluctuation phenomena
KW  - random processes
KW  - noise
KW  - Brownian motion
KW  - mechanical effects of light
Y1  - 2014
U6  - https://doi.org/10.1088/1367-2630/16/11/118002
SN  - 1367-2630
VL  - 16
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - INPR
A1  - Hilczer, Börn
A1  - Gerhard, Reimund
A1  - Scott, James F.
T1  - Special Issue of Ferroelectrics in Honor of S. B. Lang
T2  - Ferroelectrics
Y1  - 2014
U6  - https://doi.org/10.1080/00150193.2014.964099
SN  - 0015-0193
SN  - 1563-5112
VL  - 472
IS  - 1
SP  - VII
EP  - VIII
PB  - Routledge, Taylor & Francis Group
CY  - Abingdon
ER  - 
TY  - INPR
A1  - Gerhard, Reimund
T1  - Sidney Lang - his collaboration with the University of Potsdam
T2  - Ferroelectrics
Y1  - 2014
U6  - https://doi.org/10.1080/00150193.2014.967090
SN  - 0015-0193
SN  - 1563-5112
VL  - 472
IS  - 1
SP  - 5
EP  - 5
PB  - Routledge, Taylor & Francis Group
CY  - Abingdon
ER  - 
TY  - INPR
A1  - Scherf, Ullrich
A1  - Tian, He
T1  - Organic electronics/optics for an energetic life
T2  - Advanced materials
Y1  - 2012
U6  - https://doi.org/10.1002/adma.201104917
SN  - 0935-9648
VL  - 24
IS  - 5
SP  - 576
EP  - 579
PB  - Wiley-Blackwell
CY  - Malden
ER  - 
TY  - INPR
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A1  - Actis, M.
A1  - Aghajani, T.
A1  - Agnetta, G.
A1  - Aguilar, J.
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A1  - Ajello, M.
A1  - Akhperjanian, A. G.
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A1  - Aleksic, J.
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A1  - Barber, A.
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A1  - Barcelo, M.
A1  - Barnacka, Anna
A1  - Barnstedt, Jürgen
A1  - Barres de Almeida, U.
A1  - Barrio, J. A.
A1  - Basili, A.
A1  - Basso, S.
A1  - Bastieri, D.
A1  - Bauer, C.
A1  - Baushev, Anton N.
A1  - Becerra Gonzalez, J.
A1  - Becherini, Yvonne
A1  - Bechtol, K. C.
A1  - Tjus, J. Becker
A1  - Beckmann, Volker
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A1  - Boccone, V.
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A1  - Carr, John
A1  - Carton, P. H.
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A1  - Chiang, J.
A1  - Chiappetti, L.
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A1  - Colafrancesco, Sergio
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A1  - Conrad, Jan
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A1  - Croston, J.
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A1  - Dale, O.
A1  - Daniel, M.
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A1  - Melioli, C.
A1  - Melkumyan, D.
A1  - Mereghetti, S.
A1  - Mertsch, P.
A1  - Meucci, M.
A1  - Michalowski, J.
A1  - Micolon, P.
A1  - Mihailidis, A.
A1  - Mineo, T.
A1  - Minuti, M.
A1  - Mirabal, N.
A1  - Mirabel, F.
A1  - Miranda, J. M.
A1  - Mirzoyan, R.
A1  - Mizuno, T.
A1  - Moal, B.
A1  - Moderski, R.
A1  - Mognet, I.
A1  - Molinari, E.
A1  - Molinaro, M.
A1  - Montaruli, T.
A1  - Monteiro, I.
A1  - Moore, P.
A1  - Moralejo Olaizola, A.
A1  - Mordalska, M.
A1  - Morello, C.
A1  - Mori, K.
A1  - Mottez, F.
A1  - Moudden, Y.
A1  - Moulin, Emmanuel
A1  - Mrusek, I.
A1  - Mukherjee, R.
A1  - Munar-Adrover, P.
A1  - Muraishi, H.
A1  - Murase, K.
A1  - Murphy, A.
A1  - Nagataki, S.
A1  - Naito, T.
A1  - Nakajima, D.
A1  - Nakamori, T.
A1  - Nakayama, K.
A1  - Naumann, C. L.
A1  - Naumann, D.
A1  - Naumann-Godo, M.
A1  - Nayman, P.
A1  - Nedbal, D.
A1  - Neise, D.
A1  - Nellen, L.
A1  - Neustroev, V.
A1  - Neyroud, N.
A1  - Nicastro, L.
A1  - Nicolau-Kuklinski, J.
A1  - Niedzwiecki, A.
A1  - Niemiec, J.
A1  - Nieto, D.
A1  - Nikolaidis, A.
A1  - Nishijima, K.
A1  - Nolan, S.
A1  - Northrop, R.
A1  - Nosek, D.
A1  - Nowak, N.
A1  - Nozato, A.
A1  - O'Brien, P.
A1  - Ohira, Y.
A1  - Ohishi, M.
A1  - Ohm, S.
A1  - Ohoka, H.
A1  - Okuda, T.
A1  - Okumura, A.
A1  - Olive, J. -F.
A1  - Ong, R. A.
A1  - Orito, R.
A1  - Orr, M.
A1  - Osborne, J.
A1  - Ostrowski, M.
A1  - Otero, L. A.
A1  - Otte, N.
A1  - Ovcharov, E.
A1  - Oya, I.
A1  - Ozieblo, A.
A1  - Padilla, L.
A1  - Paiano, S.
A1  - Paillot, D.
A1  - Paizis, A.
A1  - Palanque, S.
A1  - Palatka, M.
A1  - Pallota, J.
A1  - Panagiotidis, K.
A1  - Panazol, J. -L.
A1  - Paneque, D.
A1  - Panter, M.
A1  - Paoletti, R.
A1  - Papayannis, Alexandros
A1  - Papyan, G.
A1  - Paredes, J. M.
A1  - Pareschi, G.
A1  - Parks, G.
A1  - Parraud, J. -M.
A1  - Parsons, D.
A1  - Arribas, M. Paz
A1  - Pech, M.
A1  - Pedaletti, G.
A1  - Pelassa, V.
A1  - Pelat, D.
A1  - Perez, M. D. C.
A1  - Persic, M.
A1  - Petrucci, P-O
A1  - Peyaud, B.
A1  - Pichel, A.
A1  - Pita, S.
A1  - Pizzolato, F.
A1  - Platos, L.
A1  - Platzer, R.
A1  - Pogosyan, L.
A1  - Pohl, M.
A1  - Pojmanski, G.
A1  - Ponz, J. D.
A1  - Potter, W.
A1  - Poutanen, J.
A1  - Prandini, E.
A1  - Prast, J.
A1  - Preece, R.
A1  - Profeti, F.
A1  - Prokoph, H.
A1  - Prouza, M.
A1  - Proyetti, M.
A1  - Puerto-Gimenez, I.
A1  - Puehlhofer, G.
A1  - Puljak, I.
A1  - Punch, M.
A1  - Pyziol, R.
A1  - Quel, E. J.
A1  - Quinn, J.
A1  - Quirrenbach, A.
A1  - Racero, E.
A1  - Rajda, P. J.
A1  - Ramon, P.
A1  - Rando, R.
A1  - Rannot, R. C.
A1  - Rataj, M.
A1  - Raue, M.
A1  - Reardon, P.
A1  - Reimann, O.
A1  - Reimer, A.
A1  - Reimer, O.
A1  - Reitberger, K.
A1  - Renaud, M.
A1  - Renner, S.
A1  - Reville, B.
A1  - Rhode, W.
A1  - Ribo, M.
A1  - Ribordy, M.
A1  - Richer, M. G.
A1  - Rico, J.
A1  - Ridky, J.
A1  - Rieger, F.
A1  - Ringegni, P.
A1  - Ripken, J.
A1  - Ristori, P. R.
A1  - Riviere, A.
A1  - Rivoire, S.
A1  - Rob, L.
A1  - Roeser, U.
A1  - Rohlfs, R.
A1  - Rojas, G.
A1  - Romano, Patrizia
A1  - Romaszkan, W.
A1  - Romero, G. E.
A1  - Rosen, S.
A1  - Lees, S. Rosier
A1  - Ross, D.
A1  - Rouaix, G.
A1  - Rousselle, J.
A1  - Rousselle, S.
A1  - Rovero, A. C.
A1  - Roy, F.
A1  - Royer, S.
A1  - Rudak, B.
A1  - Rulten, C.
A1  - Rupinski, M.
A1  - Russo, F.
A1  - Ryde, F.
A1  - Sacco, B.
A1  - Saemann, E. O.
A1  - Saggion, A.
A1  - Safiakian, V.
A1  - Saito, K.
A1  - Saito, T.
A1  - Saito, Y.
A1  - Sakaki, N.
A1  - Sakonaka, R.
A1  - Salini, A.
A1  - Sanchez, F.
A1  - Sanchez-Conde, M.
A1  - Sandoval, A.
A1  - Sandaker, H.
A1  - Sant'Ambrogio, E.
A1  - Santangelo, A.
A1  - Santos, E. M.
A1  - Sanuy, A.
A1  - Sapozhnikov, L.
A1  - Sarkar, S.
A1  - Sartore, N.
A1  - Sasaki, H.
A1  - Satalecka, K.
A1  - Sawada, M.
A1  - Scalzotto, V.
A1  - Scapin, V.
A1  - Scarcioffolo, M.
A1  - Schafer, J.
A1  - Schanz, T.
A1  - Schlenstedt, S.
A1  - Schlickeiser, R.
A1  - Schmidt, T.
A1  - Schmoll, J.
A1  - Schovanek, P.
A1  - Schroedter, M.
A1  - Schultz, C.
A1  - Schultze, J.
A1  - Schulz, A.
A1  - Schure, K.
A1  - Schwab, T.
A1  - Schwanke, U.
A1  - Schwarz, J.
A1  - Schwarzburg, S.
A1  - Schweizer, T.
A1  - Schwemmer, S.
A1  - Segreto, A.
A1  - Seiradakis, J. -H.
A1  - Sembroski, G. H.
A1  - Seweryn, K.
A1  - Sharma, M.
A1  - Shayduk, M.
A1  - Shellard, R. C.
A1  - Shi, J.
A1  - Shibata, T.
A1  - Shibuya, A.
A1  - Shum, E.
A1  - Sidoli, L.
A1  - Sidz, M.
A1  - Sieiro, J.
A1  - Sikora, M.
A1  - Silk, J.
A1  - Sillanpaa, A.
A1  - Singh, B. B.
A1  - Sitarek, J.
A1  - Skole, C.
A1  - Smareglia, R.
A1  - Smith, A.
A1  - Smith, D.
A1  - Smith, J.
A1  - Smith, N.
A1  - Sobczynska, D.
A1  - Sol, H.
A1  - Sottile, G.
A1  - Sowinski, M.
A1  - Spanier, F.
A1  - Spiga, D.
A1  - Spyrou, S.
A1  - Stamatescu, V.
A1  - Stamerra, A.
A1  - Starling, R.
A1  - Stawarz, L.
A1  - Steenkamp, R.
A1  - Stegmann, Christian
A1  - Steiner, S.
A1  - Stergioulas, N.
A1  - Sternberger, R.
A1  - Sterzel, M.
A1  - Stinzing, F.
A1  - Stodulski, M.
A1  - Straumann, U.
A1  - Strazzeri, E.
A1  - Stringhetti, L.
A1  - Suarez, A.
A1  - Suchenek, M.
A1  - Sugawara, R.
A1  - Sulanke, K. -H.
A1  - Sun, S.
A1  - Supanitsky, A. D.
A1  - Suric, T.
A1  - Sutcliffe, P.
A1  - Sykes, J.
A1  - Szanecki, M.
A1  - Szepieniec, T.
A1  - Szostek, A.
A1  - Tagliaferri, G.
A1  - Tajima, H.
A1  - Takahashi, H.
A1  - Takahashi, K.
A1  - Takalo, L.
A1  - Takami, H.
A1  - Talbot, C.
A1  - Tammi, J.
A1  - Tanaka, M.
A1  - Tanaka, S.
A1  - Tasan, J.
A1  - Tavani, M.
A1  - Tavernet, J. -P.
A1  - Tejedor, L. A.
A1  - Telezhinsky, Igor O.
A1  - Temnikov, P.
A1  - Tenzer, C.
A1  - Terada, Y.
A1  - Terrier, R.
A1  - Teshima, M.
A1  - Testa, V.
A1  - Tezier, D.
A1  - Thuermann, D.
A1  - Tibaldo, L.
A1  - Tibolla, O.
A1  - Tiengo, A.
A1  - Tluczykont, M.
A1  - Todero Peixoto, C. J.
A1  - Tokanai, F.
A1  - Tokarz, M.
A1  - Toma, K.
A1  - Torii, K.
A1  - Tornikoski, M.
A1  - Torres, D. F.
A1  - Torres, M.
A1  - Tosti, G.
A1  - Totani, T.
A1  - Toussenel, C.
A1  - Tovmassian, G.
A1  - Travnicek, P.
A1  - Trifoglio, M.
A1  - Troyano, I.
A1  - Tsinganos, K.
A1  - Ueno, H.
A1  - Umehara, K.
A1  - Upadhya, S. S.
A1  - Usher, T.
A1  - Uslenghi, M.
A1  - Valdes-Galicia, J. F.
A1  - Vallania, P.
A1  - Vallejo, G.
A1  - van Driel, W.
A1  - van Eldik, C.
A1  - Vandenbrouke, J.
A1  - Vanderwalt, J.
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A1  - Vasileiadis, G.
A1  - Vassiliev, V.
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A1  - Vollhardt, A.
A1  - von Gunten, H. P.
A1  - Vorobiov, S.
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A1  - Webb, N.
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A1  - Weinstein, A.
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A1  - Welsing, R.
A1  - Werner, M.
A1  - Wetteskind, H.
A1  - White, R.
A1  - Wierzcholska, A.
A1  - Wiesand, S.
A1  - Wilkinson, M.
A1  - Williams, D. A.
A1  - Willingale, R.
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A1  - Wood, M.
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A1  - Xiong, Q.
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A1  - Yamamoto, T.
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A1  - Yanagita, S.
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A1  - Yelos, D.
A1  - Yoshida, A.
A1  - Yoshida, T.
A1  - Yoshikoshi, T.
A1  - Zabalza, V.
A1  - Zacharias, M.
A1  - Zajczyk, A.
A1  - Zanin, R.
A1  - Zdziarski, A.
A1  - Zech, Alraune
A1  - Zhao, A.
A1  - Zhou, X.
A1  - Zietara, K.
A1  - Ziolkowski, J.
A1  - Ziolkowski, P.
A1  - Zitelli, V.
A1  - Zurbach, C.
A1  - Zychowski, P.
T1  - Introducing the CTA concept
T2  - Astroparticle physics
N2  - The Cherenkov Telescope Array (CTA) is a new observatory for very high-energy (VHE) gamma rays. CTA has ambitions science goals, for which it is necessary to achieve full-sky coverage, to improve the sensitivity by about an order of magnitude, to span about four decades of energy, from a few tens of GeV to above 100 TeV with enhanced angular and energy resolutions over existing VHE gamma-ray observatories. An international collaboration has formed with more than 1000 members from 27 countries in Europe, Asia, Africa and North and South America. In 2010 the CTA Consortium completed a Design Study and started a three-year Preparatory Phase which leads to production readiness of CTA in 2014. In this paper we introduce the science goals and the concept of CTA, and provide an overview of the project.
KW  - TeV gamma-ray astronomy
KW  - Air showers
KW  - Cherenkov Telescopes
Y1  - 2013
U6  - https://doi.org/10.1016/j.astropartphys.2013.01.007
SN  - 0927-6505
SN  - 1873-2852
VL  - 43
IS  - 2
SP  - 3
EP  - 18
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - INPR
A1  - Guasti, Giovanna
A1  - Engbert, Ralf
A1  - Krampe, Ralf T.
A1  - Kurths, Jürgen
T1  - Phase transitions, complexity, and stationarity in the production of polyrhythms
N2  - Contents: 1 Introduction 2 Experiment 3 Data 4 Symbolic dynamics 4.1 Symbolic dynamics as a tool for data analysis 4.2 2-symbols coding 4.3 3-symbols coding 5 Measures of complexity 5.1 Word statistics 5.2 Shannon entropy 6 Testing for stationarity 6.1 Stationarity 6.2 Time series of cycle durations 6.3 Chi-square test 7 Control parameters in the production of rhythms 8 Analysis of relative phases 9 Discussion 10 Outlook
T3  - NLD Preprints - 57 
Y1  - 2000
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14933
ER  - 
TY  - INPR
A1  - Schumacher, Jörg
A1  - Seehafer, Norbert
T1  - Bifurcation analysis of the plane sheet pinch
N2  - A numerical bifurcation analysis of the electrically driven plane sheet pinch is presented. The electrical conductivity varies across the sheet such as to allow instability of the quiescent basic state at some critical Hartmann number. The most unstable perturbation is the two-dimensional tearing mode. Restricting the whole problem to two spatial dimensions, this mode is followed up to a time-asymptotic steady state, which proves to be sensitive to three-dimensional perturbations even close to the point where the primary instability sets in. A comprehensive three-dimensional stability analysis of the two-dimensional steady tearing-mode state is performed by varying parameters of the sheet pinch. The instability with respect to three-dimensional perturbations is suppressed by a sufficiently strong magnetic field in the invariant direction of the equilibrium. For a special choice of the system parameters, the unstably perturbed state is followed up in its nonlinear evolution and is found to approach a three-dimensional steady state.
T3  - NLD Preprints - 56 
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14926
ER  - 
TY  - INPR
A1  - Demircan, Ayhan
A1  - Scheel, Stefan
A1  - Seehafer, Norbert
T1  - Heteroclinic behavior in rotating Rayleigh-Bénard convection
N2  - We investigate numerically the appearance of heteroclinic behavior in a three-dimensional, buoyancy-driven fluid layer with stress-free top and bottom boundaries, a square horizontal periodicity with a small aspect ratio, and rotation at low to moderate rates about a vertical axis. The Prandtl number is 6.8. If the rotation is not too slow, the skewed-varicose instability leads from stationary rolls to a stationary mixed-mode solution, which in turn loses stability to a heteroclinic cycle formed by unstable roll states and connections between them. The unstable eigenvectors of these roll states are also of the skewed-varicose or mixed-mode type and in some parameter regions skewed-varicose like shearing oscillations as well as square patterns are involved in the cycle. Always present weak noise leads to irregular horizontal translations of the convection pattern and makes the dynamics chaotic, which is verified by calculating Lyapunov exponents. In the nonrotating case, the primary rolls lose, depending on the aspect ratio, stability to traveling waves or a stationary square pattern. We also study the symmetries of the solutions at the intermittent fixed points in the heteroclinic cycle.
T3  - NLD Preprints - 55 
Y1  - 1999
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14914
ER  - 
TY  - INPR
A1  - Volosevich, Alexandra V.
A1  - Meister, Claudia-Veronika
T1  - Nonlinear interaction of Farley-Buneman waves
N2  - The nonlinear interaction of waves excited by the modified two-stream instability (Farley-Buneman instability) is considered. It is found that, during the linear stage of wave growth, the enhanced pressure of the high-frequency part of the waves locally generates a ponderomotive force. This force acts on the plasma particles and redistributes them. Thus an additional electrostatic polarization field occurs, which influences the low-frequency part of the waves. Then, the low-frequency waves also cause a redistribution of the high-frequency waves. In the paper, a self-consistent system of equations is obtained, which describes the nonlinear interaction of the waves. It is shown that the considered mechanism of wave interaction causes a nonlinear stabilization of the high-frequency waves’ growth and a formation of local density structures of the charged particles. The density modifications of the charged particles during the non-linear stage of wave growth and the possible interval of aspect angles of the high-frequency waves are estimated.
T3  - NLD Preprints - 52 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14851
ER  - 
TY  - INPR
A1  - Maaß, Peter
A1  - Pereverzev, Sergei V.
A1  - Ramlau, Ronny
A1  - Solodky, Sergei G.
T1  - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection
N2  - The aim of this paper is to describe an efficient strategy for descritizing ill-posed linear operator equations of the first kind: we consider Tikhonov-Phillips-regularization χ^δ α = (a * a + α I)^-1 A * y ^δ with a finite dimensional approximation A n instead of A. We propose a sparse matrix structure which still leads to optimal convergences rates but requires substantially less scalar products for computing A n compared with standard methods.
T3  - NLD Preprints - 48 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14739
ER  - 
TY  - INPR
A1  - Braun, Robert
A1  - Feudel, Fred
A1  - Guzdar, Parvez
T1  - The route to chaos for a two-dimensional externally driven flow
N2  - We have numerically studied the bifurcations and transition to chaos in a two-dimensional fluid for varying values of the Reynolds number. These investigations have been motivated by experiments in fluids, where an array of vortices was driven by an electromotive force. In these experiments, successive changes leading to a complex motion of the vortices, due to increased forcing, have been explored [Tabeling, Perrin, and Fauve, J. Fluid Mech. 213, 511 (1990)]. We model this experiment by means of two-dimensional Navier-Stokes equations with a special external forcing, driving a linear chain of eight counter-rotating vortices, imposing stress-free boundary conditions in the vertical direction and periodic boundary conditions in the horizontal direction. As the strength of the forcing or the Reynolds number is raised, the original stationary vortex array becomes unstable and a complex sequence of bifurcations is observed. Several steady states and periodic branches and a period doubling cascade appear on the route to chaos. For increasing values of the Reynolds number, shear flow develops, for which the spatial scale is large compared to the scale of the forcing. Furthermore, we have investigated the influence of the aspect ratio of the container as well as the effect of no-slip boundary conditions at the top and bottom, on the bifurcation scenario.
T3  - NLD Preprints - 46 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14717
ER  - 
TY  - INPR
A1  - Lukaschewitsch, Michael
T1  - Geoelectrical conductivity problems on unbounded domains
N2  - This paper deals with the electrical conductivity problem in geophysics. It is formulated as an elliptic boundary value problem of second order for a large class of bounded and unbounded domains. A special boundary condition, the so called "Complete Electrode Model", is used. Poincaré inequalities are formulated and proved in the context of weighted Sobolev spaces, leading to existence and uniqueness statements for the boundary value problem. In addition, a parameter-to-solution operator arising from the inverse conductivity problem in medicine (EIT) and geophysics is investigated mathematically and is shown to be smooth and analytic.
T3  - NLD Preprints - 45 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14704
ER  - 
TY  - INPR
A1  - Seehafer, Norbert
A1  - Schumacher, Jörg
T1  - Resistivity profile and instability of the plane sheet pinch
N2  - The stability of the quiescent ground state of an incompressible, viscous and electrically conducting fluid sheet, bounded by stress-free parallel planes and driven by an external electric field tangential to the boundaries, is studied numerically. The electrical conductivity varies as cosh–2(x1/a), where x1 is the cross-sheet coordinate and a is the half width of a current layer centered about the midplane of the sheet. For a <~ 0.4L, where L is the distance between the boundary planes, the ground state is unstable to disturbances whose wavelengths parallel to the sheet lie between lower and upper bounds depending on the value of a and on the Hartmann number. Asymmetry of the configuration with respect to the midplane of the sheet, modelled by the addition of an externally imposed constant magnetic field to a symmetric equilibrium field, acts as a stabilizing factor.
T3  - NLD Preprints - 44 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14686
ER  - 
TY  - INPR
A1  - Rüdiger, Sten
A1  - Feudel, Fred
A1  - Seehafer, Norbert
T1  - Dynamo bifurcations in an array of driven convection-like rolls
N2  - The bifurcations in a three-dimensional incompressible, electrically conducting fluid with an external forcing of the Roberts type have been studied numerically. The corresponding flow can serve as a model for the convection in the outer core of the Earth and is realized in an ongoing laboratory experiment aimed at demonstrating a dynamo effect. The symmetry group of the problem has been determined and special attention has been paid to symmetry breaking by the bifurcations. The nonmagnetic, steady Roberts flow loses stability to a steady magnetic state, which in turn is subject to secondary bifurcations. The secondary solution branches have been traced until they end up in chaotic states.
T3  - NLD Preprints - 43 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14678
ER  - 
TY  - INPR
A1  - Engbert, Ralf
A1  - Scheffczyk, Christian
A1  - Krampe, Ralf-Thomas
A1  - Rosenblum, Mikhael
A1  - Kurths, Jürgen
A1  - Kliegl, Reinhold
T1  - Tempo-induced transitions in polyrhythmic hand movements
N2  - We investigate the cognitive control in polyrhythmic hand movements as a model paradigm for bimanual coordination. Using a symbolic coding of the recorded time series, we demonstrate the existence of qualitative transitions induced by experimental manipulation of the tempo. A nonlinear model with delayed feedback control is proposed, which accounts for these dynamical transitions in terms of bifurcations resulting from variation of the external control parameter. Furthermore, it is shown that transitions can also be observed due to fluctuations in the timing control level. We conclude that the complexity of coordinated bimanual movements results from interactions between nonlinear control mechanisms with delayed feedback and stochastic timing components.
T3  - NLD Preprints - 41 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14380
ER  - 
TY  - INPR
A1  - Seehafer, Norbert
A1  - Schumacher, Jörg
T1  - Squire‘s theorem for the magnetohydrodynamic sheet pinch
N2  - The stability of the quiescent ground state of an incompressible viscous fluid sheet bounded by two parallel planes, with an electrical conductivity varying across the sheet, and driven by an external electric field tangential to the boundaries is considered. It is demonstrated that irrespective of the conductivity profile, as magnetic and kinetic Reynolds numbers (based on the Alfvén velocity) are raised from small values, two-dimensional perturbations become unstable first.
T3  - NLD Preprints - 40 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14628
ER  - 
TY  - INPR
A1  - Scheel, Stefan
A1  - Seehafer, Norbert
T1  - Bifurcation to oscillations in three-dimensional Rayleigh-Bénard convection
N2  - Three-dimensional bouyancy-driven convection in a horizontal fluid layer with stress-free boundary conditions at the top and bottom and periodic boundary conditions in the horizontal directions is investigated by means of numerical simulation and bifurcation-analysis techniques. The aspect ratio is fixed to a value of 2√2 and the Prandtl number to a value of 6.8. Two-dimensional convection rolls are found to be stable up to a Rayleigh number of 17 950, where a Hopf bifurcation leads to traveling waves. These are stable up to a Rayleigh number of 30 000, where a secondary Hopf bifurcation generates modulated traveling waves. We pay particular attention to the symmetries of the solutions and symmetry breaking by the bifurcations.
T3  - NLD Preprints - 39 
Y1  - 1997
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14370
ER  -