In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …

Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

In this book we will study equations of the following form x= f (x, t; µ),(0.0. 1) and x↦→ g (x;
µ),(0.0. 2) with x∈ U⊂ Rn, t∈ R1, and µ∈ V⊂ Rp where U and V are open sets in Rn and …

The mechanism of stochastic resonance Page 1 Journal of Physics A: Mathematical and
General The mechanism of stochastic resonance To cite this article: R Benzi et al 1981 J …

Chaotic time series data are observed routinely in experiments on physical systems and in
observations in the field. The authors review developments in the extraction of information of …

When I encountered the idea of chaotic behavior in deterministic dynami cal systems, it gave
me both great pause and great relief. The origin of the great relief was work I had done …

This book treats stochastic motion in nonlinear oscillator systems. It describes a rapidly
growing field of nonlinear mechanics with applications to a number of areas in science and …

This book describes examples and applications of synchronization, and gives the problem a
working mathematical formulation. It presents the basic principles and results, as well as …

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that
it not only defines the concept of chaos in deterministic systems, but it describes the …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …