Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System

Details Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System

1993-11-25

arxiv.org/abs/chao-dyn/9311009v1

Nonlinear Sciences

Chaotic Dynamics

to appear in Physica D, figures aree not included

Scientific paper

10.1016/0167-2789(94)90187-2

Coexistence of various ordered chaotic states in a Hamiltonian system is studied with the use of a symplectic coupled map lattice. Besides the clustered states for the attractive interaction, a novel chaotic ordered state is found for a system with repulsive interaction, characterized by a dispersed state of particles. The dispersed and clustered states form an onion-like structure in phase space. The degree of order increases towards the center of the onion, while chaos is enhanced at the edge between ordered and random chaotic states. For a longer time scale, orbits itinerate over ordered and random states. The existence of these ordered states leads to anomalous long-time correlation for many quantifiers such as the global diffusion.

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