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Table of Contents :
Supplement No. 150 (2003)
Let's Face Chaos through Nonlinear Dynamics
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Proceedings of the 5th International Summer School/Conference
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Ed. by M. Robnik, Y. Aizawa and Y. Kuramoto
Preface (M. Robnik, Y. Aizawa and Y. Kuramoto)
Foreword (Siegfried Grossmann)
Papers by Invited Speakers
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Cycle Expansions for Intermittent Maps
( Roberto Artuso, Predrag Cvitanović and Gregor Tanner )
pp.1-21
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Inferring Asymmetric Relations between Interacting Neuronal Oscillators
( Laura Cimponeriu, Michael G. Rosenblum, Thomas Fieseler, Jürgen Dammers, Michael Schiek, Milan Majtanik, Patricia Morosan, Anastasios Bezerianos and Peter A. Tass )
pp.22-36
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Basic Analogs of Schrödinger's Equation
( Kristine Ey and Andreas Ruffing )
pp.37-47
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On the Second Variation of Free Energies and Nonlinear Fokker-Planck Equations Involving Periodic Variables
( Till D. Frank )
pp.48-56
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Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
( Hirokazu Fujisaka and Yasuya Nakayama )
pp.57-63
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Nonlinear Dynamics and Chaos in Many-Particle Hamiltonian Systems
( Pierre Gaspard )
pp.64-80
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Experimental Modeling of Chaotic Fields
( Igor Grabec and Simon Mandelj )
pp.81-88
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Quaternion Representation of Intermediate Random Matrix Distributions
( Hiroshi Hasegawa and Yoshinori Sakamoto )
pp.89-104
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Current and Vorticity Auto Correlation Functions in Open Microwave Billiards
( Y.-H. Kim, M. Barth, U. Kuhl and H.-J. Stöckmann )
pp.105-114
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Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems
( Yoshiki Kuramoto and Shin-ichiro Shima )
pp.115-125
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Deterministic Chaos in Quantum Field Theory
( Viatcheslav Kuvshinov and Andrei Kuzmin )
pp.126-135
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Transition to Density Waves of Granular Particles Flowing through a Vertical Pipe
( Osamu Moriyama, Naoya Kuroiwa, Sayako Tateda, Taichi Arai, Atsushi Awazu, Yoshihiro Yamazaki and Mitsugu Matsushita )
pp.136-146
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Phase Multistability in Coupled Oscillator Systems
( E. Mosekilde, D. E. Postnov and O. V. Sosnovtseva )
pp.147-164
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Quantum Mechanics of Two Hard Disks within a Circle Billiard
( Naofumi Nakazono, Takeo Kato and Katsuhiro Nakamura )
pp.165-175
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Self-Similar Planar Fractals Based on Branching Trees and Bushes
( Dušan Pagon )
pp.176-187
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Correlated Electrons on Square Lattices
( Jean-Louis Pichard )
pp.188-199
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Theory of Quantum Loschmidt Echoes
( Tomaž Prosen, Thomas H. Seligman and Marko Žnidarič )
pp.200-228
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Randomness of Classical Chaotic Motion
( Marko Robnik )
pp.229-242
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The Linearizable Centers of Time-Reversible Polynomial Systems
( Valery G. Romanovski )
pp.243-254
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Probing Surface Flows with Lagrangian Tracers
( Jörg Schumacher )
pp.255-266
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Quantum Chaos in Mixed Phase Space and the Julia Set
( Akira Shudo and Kensuke S. Ikeda )
pp.267-280
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Desynchronization by Means of a Coordinated Reset of Neural Sub-Populations
— A Novel Technique for Demand-Controlled Deep Brain Stimulation —
( Peter A. Tass )
pp.281-296
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Breakdown of a Near-Stable Granular Cluster
( Devaraj van der Meer and Ko van der Weele )
pp.297-311
Papers by Participants
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Directed Transport in a Spatially Periodic Magnetic Billiard
( Walter Acevedo and Thomas Dittrich )
pp.313-316
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Parametrically Driven Dark Solitons
( I. V. Barashenkov, S. R. Woodford and E. V. Zemlyanaya )
pp.317-320
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Deterministic Diffusion in a Gravitational Billiard
( Lasko Basnarkov and Viktor Urumov )
pp.321-325
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Quantum Manifestations of Classical Stochasticity in the Mixed State
( Victor P. Berezovoj, Yuri L. Bolotin and Vitaliy A. Cherkaskiy )
pp.326-329
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Discrete Breathers and Homoclinic Dynamics
( Jeroen M. Bergamin and Tassos Bountis )
pp.330-333
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Periodic Orbits Representation of Reflection Amplitude in Soft-Walled Chaotic Quantum Dots
( Agung Budiyono and Katsuhiro Nakamura )
pp.334-337
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Experimental Test of the Trace Formula by Balian and Duplantier
( C. Dembowski, B. Dietz, H.-D. Gräf, A. Heine, T. Papenbrock, A. Richter and C. Richter )
pp.338-342
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Noise Applied to a Finite-Time-Singularity
( Hans C. Fogedby )
pp.343-347
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Value Statistics of Chaotic Wigner Function
( Martin Horvat and Tomaž Prosen )
pp.348-352
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Estimation of Effective Vertical Diffusivity in Turbulent Exchange Flows by Numerical Experiments
( Gökay Karakaş and Bertram Boehrer )
pp.353-356
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Rule and Density Behavior in Rule-Dynamical Systems
— Correspondence of Rule Sequence to Small Density-Range —
( Song-Ju Kim )
pp.357-362
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Coherent Tunneling and Instantons in Presence of Classical Chaos
( Viatcheslav Kuvshinov and Andrei Kuzmin )
pp.363-366
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The Effect of Noise on Turing Patterns
( T. Leppänen, M. Karttunen, R. A. Barrio and K. Kaski )
pp.367-370
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Chaotic Properties of the Elliptical Stadium Billiard
( V. Lopac, I. Movre, I. Mrkonjić and D. Radić )
pp.371-375
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Non-Poissonian Level Spacing Statistics of Classically Integrable Quantum Systems Based on the Berry-Robnik Approach
( Hironori Makino and Shuichi Tasaki )
pp.376-380
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Spectral Statistics of RR Intervals in ECG
( Mladen Martinis, Vesna Mikuta-Martinis, Andrea Knežević and Josip Črnugelj )
pp.381-387
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Stability Analysis of Critical Points in Quadratic Systems in R3 Which Contain a Plane of Critical Points
( Matej Mencinger )
pp.388-392
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Scaling and Log-Periodicity in Hamiltonian Systems
( Tomoshige Miyaguchi )
pp.393-396
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Can One Determine the Shape of a Quantum Billiard Table through the Eigenenergies and Resonances?
( Yuichiro Okada, Akira Shudo, Takahisa Harayama and Shuichi Tasaki )
pp.397-400
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Analytic Properties of a Special q-Exponential Function
( Andreas Ruffing and Moritz Simon )
pp.401-410
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Level Statistics in Pseudointegrable Systems
( Stefanie Russ and Yuriy Hlushchuk )
pp.411-414
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3D BEC Bright Solitons under Transverse Confinement
— Analytical Results with the Nonpolynomial Schrödinger Equation —
( Luca Salasnich )
pp.415-418
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Influence of Stochastic Conditions on Self-Organization in Irradiated Materials
( Pavel Selyshchev )
pp.419-422
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Low-Dimensional Subsystems in Anharmonic Lattices
( Susumu Shinohara )
pp.423-434
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Wave Propagation in Nonlocally Coupled Oscillators with Noise
( Yuri Shiogai and Yoshiki Kuramoto )
pp.435-438
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How Does the Smaller Alignment Index (SALI) Distinguish Order from Chaos?
( Charalampos Skokos, Chris Antonopoulos, Tassos C. Bountis and Michael N. Vrahatis )
pp.439-443
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Nonlinear Instability in Generalized Nonlinear Phase Diffusion Equation
( Dmitry Strunin )
pp.444-448
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An Introduction to Coupled Heteroclinic Cycles
( Masashi Tachikawa )
pp.449-452
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Spectral Statistics of a Spin-1/2 Coupled Quartic Oscillators
( Mitsuyoshi Tomiya and Naotaka Yoshinaga )
pp.453-464
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Bailout Embedding as a Blowout Bifurcation
( Idan Tuval and Oreste Piro )
pp.465-468
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A Method to Enhance Noise Reduction for Data Generated from a Known Differential Equation
( P. G. Vaidya and Savita Angadi )
pp.469-472
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Fractal Power Spectrum in a Steady Plane Stokes Flow Past the Lattice of Cylinders
( Michael A. Zaks and Arthur V. Straube )
pp.473-476