Hyperbolic Structures and the Stickiness Effect

Chin. Phys. Lett.

2002, Vol. 19

Issue (9): 1254-1256 DOI:

Original Articles

Hyperbolic Structures and the Stickiness Effect

ZHOU Ji-Lin;ZHOU Li-Yong;SUN Yi-Sui

Department of Astronomy and Center of Astronomy and Astrophysics in Eastern China, Nanjing University, Nanjing 210093

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ZHOU Ji-Lin, ZHOU Li-Yong, SUN Yi-Sui 2002 Chin. Phys. Lett. 19 1254-1256

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Abstract The stickiness effect of invariant tori in the phase space is widely studied and extended to the slow-down of orbital diffusion due to some other invariant sets, such as Cantori, island-chains and hyperbolic periodic orbits. We report two models in which hyperbolic periodic orbits show the stickiness effect. The generalized stickiness effects caused by different invariant sets are discussed. We believe that the main cause of the generalized stickiness effects is the hyperbolic structures in the phase space of the dynamical systems.

Keywords: 05.45.Ac 05.60.Cd

Published: 01 September 2002

PACS:	05.45.Ac	(Low-dimensional chaos)
	05.60.Cd	(Classical transport)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I9/01254

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