A note on the Melnikov function
Nguyen Van Dinh
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.
DOI:
https://doi.org/10.15625/0866-7136/29/3/5540
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