2005•理论物理通讯：英文版Requires access

Homoclinic （Heteroclinic） Orbit of Complex Dynamical System and Spiral Structure

FUZun-Tao, LIUShi-Da, LIUShi-Kuo, LIANGFu-Ming, XINGuo-Jun

Abstract

Starting from iterated systems, it is shown that the homoclinic (heteroclinic) orbit is a kind of spiral structure. The emphasis is laid to show that there are homoclinic or heteroclinic orbits in complex discrete and continuous systems, and these homoclinic or heteroclinic orbits are some kind of spiral structure.

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Key concepts: Homoclinic orbit, Heteroclinic orbit, Heteroclinic cycle, Homoclinic bifurcation, Orbit (dynamics), Heteroclinic bifurcation, Spiral (railway), Mathematics