We present an asymptotic approach to the analysis of coupled nonlinearoscillators with
asymmetric nonlinearity based on the complexrepresentation of the dynamic equations. The …

One of the most important features of nonlinear systems with several degrees of freedom is
the presence of internal resonances at certain relations between natural frequencies of …

The complex representation of the classical equations of motion of a system of linear
oscillators was used for the first time in a quantum mechanics and in the analysis of so …

We show that propagating transitions fronts observed recently in multistable structural
networks are analogous to solid–solid phase transformations in crystals and can therefore …

Nonlinear, collective, soliton type excitations in zigzag molecular chains are analyzed. It is
shown that the non-linear dynamics of a chain dramatically changes in passing from the one …

We present a metastructure architecture with a bistable microstructure that enables extreme
broadband frequency conversion. We use numerical and experimental tools to unveil the …

The analogs of relativistic effects in classical mechanics, which are observed in the
propagation of solitons in solids, are discussed. These effects are described by formulas …

A numerical solution to the problem of existence and stability of topological solitons in a
polyethylene chain surrounded by immovable neighboring chains is obtained. In the …

Steadily moving transition (switching) fronts, associated with local transformation, symmetry
breaking, or collapse, are among the most important dynamic coherent structures. The …

Topological features of potential energy hypersurface of canonical nucleotide bases
calculated by semiem-pirical quantum-chemical AMI method are analysed. Biophysical …