skip to main content

SciTech ConnectSciTech Connect

Title: Some new surprises in chaos

A brief review is presented of some recent findings in the theory of chaotic dynamics. We also prove a statement that could be naturally considered as a dual one to the Poincaré theorem on recurrences. Numerical results demonstrate that some parts of the phase space of chaotic systems are more likely to be visited earlier than other parts. A new class of chaotic focusing billiards is discussed that clearly violates the main condition considered to be necessary for chaos in focusing billiards.
Authors:
 [1] ;  [2] ;  [3]
  1. ABC Program, Georgia Institute of Technology, Atlanta, Georgia 30332 (United States)
  2. (United States)
  3. School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332 (United States)
Publication Date:
OSTI Identifier:
22402577
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 25; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABUNDANCE; CHAOS THEORY; DYNAMICS; FOCUSING; NUMERICAL DATA; PHASE SPACE; RECURSION RELATIONS