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 …

Non-monotonic dynamics of nonlinear continuous structures, ie, mixed hardening
(H)/softening (S) behavior in the vicinity of H/S transition, is comprehensively investigated by …

Mechanical resonators are widely used as precision clocks and sensitive detectors that rely
on the stability of their eigenfrequencies. The phase noise is determined by different factors …

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 …

Underdamped oscillators that possess a maximum or minimum in their dependence of
eigenfrequency on energy have recently been shown to exhibit a range of unusual …

The main subject of the paper is an escape from a multiwell metastable potential on the
timescale of the formation of the quasiequilibrium between the wells. Our main attention is …

Area-preserving nontwist maps are low-dimensional models of physical systems that locally
violate the twist condition. An important problem for applications is the determination and …

The problem of zero-dispersion nonlinear resonance—a phenomenon that can occur in a
periodically-driven nonlinear oscillator whose eigenfrequency as a function of energy …

We study regular and chaotic motion of the charge carriers in a two-dimensional electron
gas subject to a spatially periodic magnetic field and to an AC electric field. We show how …