Publisher Summary This chapter presents the case of two coupled identical systems. The
chapter describes the first historical studies on complete synchronization (CS) phenomena …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

We report the existence of bursting oscillations and mixed-mode oscillations in a Liénard
system when it is driven externally by a sinusoidal force. The bursting oscillations transit …

Much recent interest has been given to simple chaotic oscillators based on jerk equations
that involve a third-time derivative of a single scalar variable. The simplest such equation …

Synchronization of coupled oscillators exhibiting the coexistence of chaotic attractors is
investigated, both numerically and experimentally. The route from the asynchronous motion …

We first study the problem of chaotic behaviour in time-perturbed discontinuous systems
whose unperturbed part has a piecewise C1 homoclinic solution transversally crossing the …

We present a comprehensive experimental study of the dynamics of electrostatic MEMS
resonators under large excitations. We identified three frequency ranges where large …

It is well known that homoclinic and heteroclinic cycles can potentially result in chaos in
dynamical systems. However, it is not easy to find the homoclinic or heteroclinic cycles in …

We carried out an experimental study of the synchronization of two unidirectionally coupled
Rössler-like electronic circuits with two coexisting chaotic attractors. Different stages of …

We study the influence of noise on a mathematical model of the cardiac action potential
described by a three-dimensional system of ordinary differential equations. The original …