An overview of the dynamics of one of the fundamental models of low-dimensional nonlinear
physics, the Frenkel–Kontorova (FK) model, is presented. In its simplest form, the FK model …

Recent progress has been made in the understanding of the physical properties of
chromatin—the dense complex of DNA and histone proteins that occupies the nuclei of plant …

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

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 …

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 …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

Many coupling schemes for both limit-cycle and chaotic systems involve adding linear
combinations of dynamical variables from various oscillators in an array of identical …

We consider the synchronization of diffusive coupled systems in situations where the
synchronization is a consequence of the dissipation in the coupling as well as ones where …

We report on a study of the translational sliding motion and dynamic friction in systems of
double-walled carbon nanotubes using molecular dynamics simulations combined with …

In this work, we consider a (1+ 1)-dimensional Riesz space-fractional damped sine-Gordon
equation defined on a bounded spatial interval. Sinusoidal Dirichlet boundary data are …