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In this paper, we study Poincaré bifurcation of limit cycles from a piecewise linear Hamiltonian system with a center at the origin and a homoclinic loop round the origin. By… Click to show full abstract
In this paper, we study Poincaré bifurcation of limit cycles from a piecewise linear Hamiltonian system with a center at the origin and a homoclinic loop round the origin. By using the Melnikov function method, we give an estimation of the number of limit cycles which bifurcate from the period annulus between the center and the homoclinic loop under the piecewise polynomial perturbations of degree n . This result confirms a conjecture.
Keywords:
limit cycles;
limit;
cycles piecewise;
number limit;
hamiltonian system
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2020
Link to full text (if available)
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Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2020
Link to full text (if available)
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recommendations!