A note on the Melnikov function

Nguyen Van Dinh


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 : 121 views. PDF : 39 views.


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