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The intrinsic stochasticity of near-integrable Hamiltonian systems

Abstract

Under certain conditions, the dynamics of near-integrable Hamiltonian systems appears to be stochastic. This stochasticity (intrinsic stochasticity, or deterministic chaos) is closely related to the Kolmogorov-Arnold-Moser (KAM) theorem of the stability of near-integrable multiperiodic Hamiltonian systems. The effect of the intrinsic stochasticity attracts still growing attention both in theory and in various applications in contemporary physics. The paper discusses the relation of the intrinsic stochasticity to the modern ergodic theory and to the KAM theorem, and describes some numerical experiments on related astrophysical and high-temperature plasma problems. Some open questions are mentioned in conclusion. (author).
Authors:
Krlin, L [1] 
  1. Ceskoslovenska Akademie Ved, Prague (Czechoslovakia). Ustav Fyziky Plazmatu
Publication Date:
Sep 01, 1989
Product Type:
Journal Article
Reference Number:
AIX-21-024991; EDB-90-051704
Resource Relation:
Journal Name: Fortschritte der Physik; (German Democratic Republic); Journal Volume: 37:9
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STOCHASTIC PROCESSES; ERGODIC HYPOTHESIS; HAMILTONIANS; BANANA REGIME; CHAPMAN-KOLMOGOROV EQUATION; DYNAMICS; INTEGRAL CALCULUS; LOCALITY; MIXING; NONLINEAR PROBLEMS; PHASE SPACE; STABILITY; TRAJECTORIES; TRANSFORMATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; HYPOTHESIS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE; TRAPPING; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
OSTI ID:
7241015
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0015-8208; CODEN: FPYKA
Submitting Site:
INIS
Size:
Pages: 735-760
Announcement Date:
Apr 01, 1990

Citation Formats

Krlin, L. The intrinsic stochasticity of near-integrable Hamiltonian systems. Germany: N. p., 1989. Web.
Krlin, L. The intrinsic stochasticity of near-integrable Hamiltonian systems. Germany.
Krlin, L. 1989. "The intrinsic stochasticity of near-integrable Hamiltonian systems." Germany.
@misc{etde_7241015,
title = {The intrinsic stochasticity of near-integrable Hamiltonian systems}
author = {Krlin, L}
abstractNote = {Under certain conditions, the dynamics of near-integrable Hamiltonian systems appears to be stochastic. This stochasticity (intrinsic stochasticity, or deterministic chaos) is closely related to the Kolmogorov-Arnold-Moser (KAM) theorem of the stability of near-integrable multiperiodic Hamiltonian systems. The effect of the intrinsic stochasticity attracts still growing attention both in theory and in various applications in contemporary physics. The paper discusses the relation of the intrinsic stochasticity to the modern ergodic theory and to the KAM theorem, and describes some numerical experiments on related astrophysical and high-temperature plasma problems. Some open questions are mentioned in conclusion. (author).}
journal = []
volume = {37:9}
journal type = {AC}
place = {Germany}
year = {1989}
month = {Sep}
}