We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

This paper is a tutorial on Hilbert transform applications to mechanical vibration. The
approach is accessible to non-stationary and nonlinear vibration application in the time …

This volume is the third edition of the first-ever elementary book on the Langevin equation
method for the solution of problems involving the translational and rotational Brownian …

We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

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 …

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …

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

Hilbert Transform Applications in Mechanical Vibration addresses recent advances in theory
and applications of the Hilbert transform to vibration engineering, enabling laboratory …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …