We consider simple Lyapunov-exponent-based conditions under which the response of a
system to a chaotic drive is a smooth function of the drive state. We call this differentiable …

Synchronization of chaotic systems is frequently taken to mean actual equality of the
variables of the coupled systems as they evolve in time. We explore a generalization of this …

Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than
identical chaotic oscillations in coupled systems. It may imply a more complicated …

We propose a unifying definition for synchronization between stationary finite dimensional
deterministic dynamical systems. By example, we show that the synchronization phenomena …

The question of robustness of synchronization with respect to small arbitrary perturbations of
the underlying dynamical systems is addressed. We present examples of chaos …

Computer simulations show that, following the scalar driving approach, synchronization of
spatiotemporal chaos can also be achieved in driven subsystem with positive conditional …

Chaos synchronization is an important problem in the nonlinear science. However, several
phenomena can be found in the synchronization systems. Here, we discuss several …

In this paper, we numerically investigate phase synchronization between two coupled
essentially different chaotic oscillators in drive-response configuration. It is shown that phase …

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 …

A Note on Mathematical Aspects of Drive–Response Type Synchronization - ScienceDirect
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