Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:D2L-C

Session:

Number:D2L-C2

A systematic approach to find periodic sinks of the H´enon map close to the classical case

Zbigniew Galias,  Warwick Tucker,  

pp.771-774

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.D2L-C2

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Summary:
Using the combination of a method to find low period unstable periodic orbits and the continuation method it is demonstrated that there exist low-period sinks extremely close to the classical parameter values of the Henon map. The problem why these low-period sinks are rarely observed in computer simulations is discussed.