Phenomena occurring in a particular class of nonlinear oscillatory systems—zero-dispersion
systems—are reviewed for cases with and without damping while the system is driven either …

The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …

New global periodic orbit collision and separatrix reconnection scenarios exhibited by the
standard nontwist map are described in detail, including exact methods for determining …

The energy-optimal migration of a chaotic oscillator from one attractor to another coexisting
attractor is investigated via an analogy between the Hamiltonian theory of fluctuations and …

The energy-optimal entraining of the dynamics of a periodically driven oscillator, moving it
from a chaotic attractor to a coexisting stable limit cycle, is investigated via analysis of …

Hamiltonian systems with 3/2 degrees of freedom close to autonomous systems are
considered. Special attention is focused on the case of degenerate resonances. In this case …

Quasiperiodic perturbations of two-dimensional nearly Hamiltonian systems with a limit
cycle are considered. The behavior of solutions in a small neighborhood of a degenerate …

The twist condition is a necessary condition in integrable Hamiltonian systems and
symplectic maps to obtain Poincaré–Birkhoff bifurcations under small perturbations. When …

We study quasiperiodic nonconservative perturbations of two-dimensional Hamiltonian
systems with nonmonotone rotation. We study the behavior of solutions in neighborhoods of …

This book deals with the visualization and exploration of invariant sets (fractals, strange
attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical …