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 …

Soliton-like elementary excitations in bistable systems with nondegenerate equilibrium
positions are considered. Models of specific physical systems, which can be described on …

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 highly nonlinear system of acoustic and optical oscillations in a complex crystalline lattice
consisting of two sublattices is analyzed. The system is obtained as a generalization of the …

In this Rapid Communication we consider a front of transition between metastable and
stable states in a conservative system. Due to the difference of energies between initial and …

Развитие современной нелинейной физики привело к открытию новых элементарных
механизмов, определяющих на молекулярном уровне протекание многих физических …