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Physical Sciences and Engineering Mathematics Analysis

Using Melnikov functions of any order for studying limit cycles

Article ID Journal Published Year Pages File Type
5775327 Journal of Mathematical Analysis and Applications 2017 12 Pages PDF
Abstract

In this work we study a class of planar Hamiltonian systems perturbed with general quadratic polynomials in order to identify the number of limit cycles. Employing Melnikov functions of any order, we show that the class of systems can have at most three limit cycles and the limit is reached.

Keywords
Melnikov functionsLimit cyclesHamiltonian systems
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Using Melnikov functions of any order for studying limit cycles
Authors
Gheorghe Tigan,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
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Melnikov functions
Limit cycles
Hamiltonian systems
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