A note on the Melnikov function

Nguyen Van Dinh
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Authors

  • Nguyen Van Dinh Institute of Mechanics , VAST

DOI:

https://doi.org/10.15625/0866-7136/29/3/5540

Abstract

With one (Poincaré section) parameter and a particular motion law (that associated to certain determined point of horno-heteroclinic orbits), the usual form of the Melnikov function seems to be not convenient for certain problems. Another favorable form can be obtained by using a supplementary parameter - the arbitrary time constant in the general mentioned motion law.

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Published

22-09-2007

Issue

Section

Research Article