Stagnant Motions in Hamiltonian Systems
About:
This article is published in Progress of Theoretical Physics Supplement.The article was published on 1989-05-01 and is currently open access. It has received 39 citations till now. The article focuses on the topics: Covariant Hamiltonian field theory & Hamiltonian system.read more
Citations
More filters
Journal ArticleDOI
Chaos, fractional kinetics, and anomalous transport
TL;DR: In this article, the concept of fractional kinetics is reviewed for systems with Hamiltonian chaos, where the notions of dynamical quasi-traps, Poincare recurrences, Levy flights, exit time distributions, phase space topology, etc.
Journal ArticleDOI
Clustered motion in symplectic coupled map systems
Tetsuro Konishi,Kunihiko Kaneko +1 more
TL;DR: In this paper, the Hamiltonian dynamics of coupled map systems is used to find the clustering motion of particles in the phase space of KAM tori and islands, and Lyapunov analysis distinguishes global instability from local fluctuations.
Journal ArticleDOI
Long time fluctuation of liquid water: 1/f spectrum of energy fluctuation in hydrogen bond network rearrangement dynamics
TL;DR: In this article, the power spectrum of the potential energy fluctuation of liquid water is examined and found to yield so-called 1/f frequency dependence (f is frequency), which indicates that there exists an extended multiplicity of hydrogen bond network relaxations in liquid water.
Journal ArticleDOI
Peeling the onion of order and chaos in a high-dimensional Hamiltonian system
Kunihiko Kaneko,Tetsuro Konishi +1 more
TL;DR: In this article, the authors studied the coexistence of various ordered chaotic states in a Hamiltonian system with the use of a symplectic coupled map lattice and found that the existence of these ordered states leads to anomalous long-time correlation for many quantifiers such as the global diffusion.
Journal ArticleDOI
Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System
TL;DR: In this article, limit theorems for the time average of some observation functions in an infinite measure dynamical system are studied, and it is shown that the average of the observation function which is not the L 1 (m) function, whose average with respect to the invariant measure m is finite, converges to the generalized arcsine distribution.
References
More filters
Book
The theory of stochastic processes
David Cox,Hilton D. Miller +1 more
TL;DR: This book should be of interest to undergraduate and postgraduate students of probability theory.
Book
Foundations of mechanics
TL;DR: In this article, Ratiu and Cushman introduce differential theory calculus on manifolds and derive an overview of qualitative and topological properties of differentiable properties of topological dynamics.
Book
An Introduction to Ergodic Theory
TL;DR: The first part of the text as discussed by the authors provides an introduction to ergodic theory suitable for readers knowing basic measure theory, including recurrence properties, mixing properties, the Birkhoff Ergodic theorem, isomorphism, and entropy theory.
Book ChapterDOI
An Introduction to Ergodic Theory
TL;DR: Ergodic theory concerns with the study of the long-time behavior of a dynamical system as mentioned in this paper, and it is known as Birkhoff's ergodic theorem, which states that the time average exists and is equal to the space average.