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In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression… Click to show full abstract
In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression for the first order Melnikov function frequently used in the literature directly from the original non-smooth problem.
Keywords:
hamiltonian centers;
limit cycles;
regularization method;
piecewise smooth;
smooth perturbations;
cycles piecewise
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!