World Scientific Series on Nonlinear Science Series B: Volume 4

Chaos and Nonlinear Mechanics

Proceedings of Euromech Colloquim 308 “Chaos and Noise in Dynamical Systems”

Euromech Colloquim 308 “Chaos and Noise in Dynamical Systems”

, Spala, Poland

, 1 Sep 1993

https://doi.org/10.1142/2520 | October 1994

Pages: 320

Edited by:
Tomasz Kapitaniak (Technical University of Lodz, Poland) and
John Brindley (University of Leeds, UK)

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ISBN: 978-981-4550-21-5 (ebook) USD 46.00 Add to cart

This volume contains a selection of papers presented at Euromech Colloquium 308 — Chaos and Noise in Dynamical Systems.

Roughly speaking, a chaotic solution to an ordinary differential equation is aperiodic and “looks like” a stochastic process. On the other hand, the theory of probability and stochastic processes was developed to describe complicated irregular phenomena taking place in the real world, which in most cases are chaotic. This observation led to the idea of bringing together experts on both nonlinear chaotic and stochastic systems for the conference. Equal attention was given to recent theoretical results and practical applications.

The revised and updated papers in this volume are grouped in the following sections: Theory of Chaotic Systems; Stochastic Systems; Spatiotemporal Systems and Fluid Dynamics; Numerical Tools; and Practical Applications. Each section starts with a short introduction and a brief summary of the presented papers.

Sample Chapter(s)
Non-Integrability of Perturbed Twist Mappings and Chaotic Phenomena (291 KB)

Contents:

Non-Integrability of Perturbed Twist Mappings and Chaotic Phenomena (S D Furta)
On the Structure of Non-Wandering Sets of Two-Dimensional Diffeomorphisms with Homoclinic Tangencies (S V Gonchenko & L P Shil`nikov)
On the Dynamics of Diffusively Coupled Systems (L Kocarev)
Order for Appearance of Attractors in Families of Piecewise Linear Maps (V L Maistrenko et al.)
Multi-Frequencies Stochastic Resonance (V S Anishchenko et al.)
Spatiotemporal Chaos in the Nonlinear Three-Wave Interaction via Influence of Boundaries (S G Dolinchuk & V I Zadorozhnii)
Self-Stochasticity in Dynamical Systems as a Scenario for Deterministic Spatio-Temporal Chaos (E Yu Romanenko & A N Sharkovsky)
Evidence of the Soft Turbulence in Atmospheric Boundary Layer (T Kapitaniak & J Wojewoda)
New Method for Numerical Integration of Differential Equations in the Presence of First Integrals (A J Maciejewski)
Chaotic Motions in Mechanical Systems with Impacts (F Peterka & S ipera)
and other papers