Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Recurrence is a fundamental property of dynamical systems, which can be exploited to
characterise the system's behaviour in phase space. A powerful tool for their visualisation …

Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

This book presents a comprehensive overview of the research and latest developments in
the field of the dynamics of coupled and driven chaotic oscillators, aimed at a wide …

This paper deals with the chaotic oscillator synchronization. An approach to the
synchronization of chaotic oscillators has been proposed. This approach is based on the …

We present a new method to detect phase as well as generalized synchronization in a wide
class of complex systems. It is based on the recurrences of the system's trajectory to the …

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 definition of synchronization of coupled dynamical systems is provided. We discuss how
such a definition allows one to identify a unifying framework for synchronization of dynamical …

The complete synchronization and generalized synchronization (GS) of one-way coupled
time-delay systems are studied. We find that GS can be achieved by a single scalar signal …

The study of functional interdependences between brain regions is a rapidly growing focus
of neuroscience research. This endeavor has been greatly facilitated by the appearance of a …