Adriana Buică

ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR NONSMOOTH DIFFERENTIAL EQUATIONS WITH APPLICATION TO THE NONSMOOTH VAN DER POL OSCILLATOR

In this paper we study the existence, uniqueness, and asymptotic stability of the periodic solutions of the Lipschitz system

BIFURCATION OF LIMIT CYCLES FROM A FOUR-DIMENSIONAL CENTER IN CONTROL SYSTEMS

\dot{x}=\varepsilon g(t,x,\varepsilon)

Bifurcation of Limit Cycles from a Polynomial Degenerate Center

, where

Periodic solutions for nonlinear differential systems: the second order bifurcation function

\varepsilon>0

Inverse Jacobi Multipliers: Recent Applications in Dynamical Systems

is small. Our results extend the classical second Bogoliubov theorem for the existence of stable periodic solutions to nonsmooth differential systems. As an application we prove the existence of asymptotically stable

Numerical ranges for pairs of operators, duality mappings with gauge function, and spectra of nonlinear operators

2\pi

Centers in a Quadratic System Obtained from a Scalar Third Order Differential Equation

-periodic solutions of the nonsmooth van der Pol oscillator

Averaging methods for finding periodic orbits via Brouwer degree

\ddot{u}+\varepsilon\,(|u|-1)\,\dot{u}+(1+a\varepsilon)u=\varepsilon\lambda\sin t

Limit cycles of a perturbed cubic polynomial differential center

. Moreover, we construct the so-called resonance curves that describe the dependence of the amplitude of these solutions as a function of the parameters a and

A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter

\lambda