We consider a two-dimensional piecewise-smooth system defined in two domains
separated by a switching manifold Σ. We assume that there exists a piecewise-defined …

This article proposes an amplitude-period relation formula for a second order nonlinear
oscillator by comparing the nonlinear oscillator with a linear one in a domain where …

In this paper, we are concerned with limit cycles bifurcating from piecewise quadratic
systems separated by a straight line. By means of the first-order averaging theory of …

In this article, stability of impulsive piecewise linear systems is investigated and a number of
stability criteria are obtained based on Lyapunov functions. Both the stability results that …

In this article we study limit cycles in piecewise smooth perturbations of a linear center. In
this setting it is common to adapt classical results for smooth systems, like Melnikov …

In this paper, we study the bifurcation of limit cycles from a class of cubic integrable non-
Hamiltonian systems under arbitrarily small piecewise smooth perturbations of degree n. By …

A Note on the Bendixson-Dulac Theorem for Refracted Systems with Multiple Zones 1.
Introduction Page 1 Journal of Nonlinear Modeling and Analysis http://jnma.ca; http://jnma.ijournal.cn …

This paper introduces new bounds for both: the period of a nonlinear oscillator of second
order and universal formulas to bound the Amplitude-Period of nonlinear oscillators. In fact …

In the first part, we formally study the phenomenon of the so-called big bang bifurcations,
both for one and two-dimensional piecewise-smooth maps with a single switching boundary …

Nesta tese estudamos um dos principais problemas na teoria qualitativa das equações
diferenciais planares: o problema de determinar a bacia de atração de um ponto de …