Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775327 | Journal of Mathematical Analysis and Applications | 2017 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gheorghe Tigan,