Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

We show that a wide class of uncoupled limit-cycle oscillators can be in-phase synchronized
by common weak additive noise. An expression of the Lyapunov exponent is analytically …

The functional role of synchronization has attracted much interest and debate: in particular,
synchronization may allow distant sites in the brain to communicate and cooperate with …

Strongly nonlinear stochastic processes can be found in many applications in physics and
the life sciences. In particular, in physics, strongly nonlinear stochastic processes play an …

We consider the Kuramoto model of coupled oscillators with nearest-neighbour coupling
and additive white noise. We show that synchronous solutions which are stable without the …

We show, using generic globally coupled systems, that the collective dynamics of large
chaotic systems is encoded in their Lyapunov spectra: most modes are typically localized on …

In this paper, we consider a noisy network of nonlinear systems in the sense that each
system is driven by two sources of state-dependent noise:(1) an intrinsic noise that can be …

A form of “remote synchronization” was recently described, wherein amplitude fluctuations
across a ring of non-identical, non-linear electronic oscillators become entrained into …

When a neuron receives a randomly fluctuating input current, its reliability of spike
generation improves compared with the case of a constant input current [Mainen and …

We study the effect of a weak random additive noise in a linear chain of N locally coupled
logistic maps at the edge of chaos. Maps tend to synchronize for a strong enough coupling …