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.

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DOI: https://doi.org/10.15625/0866-7136/29/3/5540 Display counter: Abstract : 57 views. PDF : 26 views.

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