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Ideal Systems and Connecting Orbits

✍ Scribed by Shu-xiang Yu; Zuo-huan Zheng; Fan-nu Hu

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2004
Tongue
English
Weight
142 KB
Volume
20
Category
Article
ISSN
0168-9673

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It is shown that one-step methods, when applied to a one-parametric dynamical system with a homoclinic orbit, exhibit a closed loop of discrete homoclinic orbits. On this loop, the parameter varies periodically while the orbit shifts its index after one revolution. We show that at least two homoclin