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Chaos and statistical methods : proceedings of the Sixth Kyoto Summer Institute, Kyoto, Japan, September 12-15, 1983

Author: Yoshiki Kuramoto
Publisher: Berlin ; New York : Springer-Verlag, 1984.
Series: Springer series in synergetics, v. 24.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
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Genre/Form: Conference papers and proceedings
Congresses
Congrès
Additional Physical Format: Online version:
Kyoto Summer Institute (6th : 1983).
Chaos and statistical methods.
Berlin ; New York : Springer-Verlag, 1984
(OCoLC)625732299
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Yoshiki Kuramoto
ISBN: 0387131566 9780387131566 3540131566 9783540131564
OCLC Number: 10532748
Description: xi, 273 pages : illustrations ; 25 cm.
Contents: I General Concepts.- Coarse Graining Revisited -The Case of Macroscopic Chaos.- Gibbs Variational Principle and Fredholm Theory for One-Dimensional Maps.- Truncated Development of Chaotic Attractors in a Map when the Jacobian is not Small.- II Fractals in Dynamical and Stochastic Systems.- On the Dynamics of Iterated Maps VIII: The Map z??(z+1/z), from Linear to Planar Chaos, and the Measurement of Chaos.- Self-Similar Natural Boundaries of Non-Integrable Dynamical Systems in the Complex t Plane.- Topological Phase Transitions.- Dynamical System Related to an Almost Periodic Schrodinger Equation.- Mean Field Hausdorff Dimensions of Diffusion-Limited and Related Aggregates.- III Onset of Chaos.- Stability of the Scenarios Towards Chaos.- Functional Renormalization-Group Equations Approach to the Transition to Chaos.- Collapse of Tori in Dissipative Mappings.- Periodic Forcing Near Intermittency Threshold - Resonance and Collapse of Tori.- Perturbation Theory Analysis of Bifurcations in a Three-Dimensional Differential System.- IV One-Dimensional Mappings.- Noise-Induced Order - Complexity Theoretical Digression.- Symbolic Dynamics Approach to Intermittent Chaos - Towards the Comprehension of Large Scale Self-Similarity and Asymptotic Non-Stationarity.- Diffusion and Generation of Non-Gaussianity in Chaotic Discrete Dynamics.- Analytic Study of Power Spectra of Intermittent Chaos.- V Bifurcations and Normal Forms.- Versal Deformation of Singularities and Its Applications to Strange Attractors.- Some Codimension-Two Bifurcations for Maps, Leading to Chaos.- Bifurcations in Doubly Diffusive Convection.- Strange Attractors in a System Described by Nonlinear Differential-Difference Equation.- Coupled Chaos.- Bifurcations in 2D Area-Preserving Mappings.- VI Soliton Systems.- Chaotic Behavior Induced by Spatially Inhomogeneous Structures such as Solitons.- Chaotic Behaviour of Quasi Solitons in a Nonlinear Dispersive System.- VII Fluid Dynamics.- Inviscid Singularity and Relative Diffusion in Intermittent Turbulence.- Computational Synergetics and Innovation in Wave and Vortex Dynamics.- A Scalar Model of MHD Turbulence.- The Analytic Structure of Turbulent Flows.- Low Prandtl Number Fluids, a Paradigm for Dynamical System Studies.- Chaotic Attractors in Rayleigh-Benard Systems.- Onset of Chaos in Some Hydrodynamic Model Systems of Equations.- VIII Chemical and Optical Systems.- Instabilities and Chaos in a Chemical Reaction.- Optical Turbulence.- IX Anomalous Fluctuations.- Scaling Theory of Relative Diffusion in Chaos and Turbulence.- 1/f Resistance Fluctuations.- Index of Contributors.
Series Title: Springer series in synergetics, v. 24.
Responsibility: editor, Y. Kuramoto.

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