A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom

Details A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom

1997-07-04

arxiv.org/abs/chao-dyn/9707007v2

Prog.Theor.Phys. Vol.99 (1998) 139-44

Nonlinear Sciences

Chaotic Dynamics

6 pages, 3 Encapsulated Postscript figures, LaTeX (58 kb)

Scientific paper

10.1143/PTP.99.139

We introduce a model of Poincar\'e mappings which represents hierarchical
structure of phase spaces for systems with many degrees of freedom. The model
yields residence time distribution of power type, hence temporal correlation
remains long. The power law behavior is enhanced as the system size increases.

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