This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear
oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators …

Seizures are a disruption of normal brain activity present across a vast range of species and
conditions. We introduce an organizing principle that leads to the first objective Taxonomy of …

The possibility of eliminating chaos in a dynamical system or of decreasing the leading
Liapunov exponent by applying a weak periodic external forcing to the system is …

The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …

The experimental evidence and characterization of “vibrational resonance” in a bistable
vertical cavity laser are reported. The system is driven by two periodic forcings, with …

The harmonic balance method is applied to the analysis of period-doubling bifurcations in a
general class of nonlinear feedback systems. Compact conditions for the prediction and …

We analyze the rates of noise-induced transitions between period-two attractors. The model
investigated is an underdamped oscillator parametrically driven by a field at nearly twice the …

The physics of critical phenomena in a many-body system far from thermal equilibrium is an
interesting and important issue to be addressed both experimentally and theoretically. The …

The BVP oscillator is a biologically and physically important dynamical system exhibiting
chaotic motion, phaselocking phenomenon and so on. In this paper we investigate the …

The results of analytical study of vibrational resonance (VR) occurring in overdamped
bistable system driven by two periodic signals with very different frequencies are presented …