A Method for Calculating Stable and Unstable Manifolds of High Periodic Hyperbolic Orbits

Chin. Phys. Lett.

1992, Vol. 9

Issue (2): 65-68 DOI:

Original Articles

A Method for Calculating Stable and Unstable Manifolds of High Periodic Hyperbolic Orbits

ZHAO Hong;GU Yan

Department of Physics, Lanzhou University, Lanzhou 730000 also Institute of Theortical Physics, Academia Sinica, Beijing 100080

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ZHAO Hong, GU Yan 1992 Chin. Phys. Lett. 9 65-68

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Abstract A new method for calculating one-dimensional stable and unstable mariifolds of hyperbolic points with arbitraryhigh periods is proposed. By using this method we were able to pinpoint with high precision the homoclinic and heteroclinic tangencies for the periodic hyperbolic orbits which appeared in the Hénon map.

Keywords: 05.45.+b

Published: 01 February 1992

PACS:

05.45.+b

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1992/V9/I2/065

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