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 …

Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

Nucleation Theory and Applications Page 1 Nucleation Theory and Applications Edited by Jürn
WP Schmelzer Nucleation Theory and Applications. Edited by JWP Schmelzer Copyright © …

The transfer of topological concepts from the quantum world to classical mechanical and
electronic systems has opened fundamentally different approaches to protected information …

We describe the appearance and stability of spatiotemporal periodic patterns (rotating
waves) in unidirectional rings of coupled oscillators with delayed couplings. We show how …

We report the results of our investigation of a fluid-based driven-dissipative oscillator system
consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath …

Based on the study of the dynamics of a dissipation-modified Toda anharmonic (one-
dimensional, circular) lattice ring we predict here a new form of electric conduction mediated …

Recent experiments show that quasi-one-dimensional lattices of self-propelled droplets
exhibit collective instabilities in the form of out-of-phase oscillations and solitary-like waves …

We first summarize features of free, forced and stochastic harmonic oscillations and,
following an idea first proposed by Lord Rayleigh in 1883, we discuss the possibility of …

We describe the mechanism of destabilization in a chain of identical coupled oscillators.
Along with the transition from stationary to oscillatory behavior of the single oscillator, the …