On the number of limit cycles for a class of piecewise smooth Hamiltonian systems with discontinuous perturbations

Publication date: April 2020Source: Nonlinear Analysis: Real World Applications, Volume 52Author(s): Jihua Yang, Erli ZhangAbstractBy analyzing the corresponding Picard–Fuchs equations, we obtain an upper bound of the number of limit cycles for a class of piecewise smooth Hamiltonian systems when they are perturbed inside discontinuous polynomials of degree n. Finally, we present an example to illustrate an application of the theoretical results.

Source: Nonlinear Analysis: Real World Applications - October 10, 2019 Category: Research Source Type: research