15 citations · 43 across the 4 of their papers we have counts for
4 papers
Front propagation in lattices with on-site bistable non-degenerate potential: multiplicity, bifurcations and route to chaos
I. B. Shiroky, O. V. Gendelman
Propagation of transition fronts in models of coupled oscillators with non-degenerate on-site potential is usually considered in terms of travelling waves. We show that the system…
Propagation of transition fronts in nonlinear chains with non-degenerate on-site potentials
I. B. Shiroky, O. V. Gendelman
We address the problem of a front propagation in chains with a bi-stable nondegenerate on-site potential and a nonlinear gradient coupling. For a generic nonlinear coupling, one en…
Propagation of transition front in bi-stable nondegenerate chains: model dependence and universality
I. B. Shiroky, O. V. Gendelman
We consider a propagation of transition fronts in one-dimensional chains with bi-stable nondegenerate on-site potential. If one adopts linear coupling in the chain and piecewise li…
Discrete breathers in an array of self-excited oscillators: exact solutions and stability
I. B. Shiroky, O. V. Gendelman
Dynamics of array of coupled self-excited oscillators is considered. Model of Franklin bell is adopted as a mechanism for the self-excitation. The model allows derivation of exact…