8 citations · 13 across the 4 of their papers we have counts for
5 papers
A nonlinear system with weak dissipation under external force on incommensurate frequency: coexistence of attractors
M. V. Pozdnyakov, A. V. Savin, D. V. Savin
The behaviour of the 2D model system - the Ikeda map - is investigated in the weakly dissipative regime under external forcing on the incommensurate frequency. Coexistence of a lar…
Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation
E. V. Felk, A. P. Kuznetsov, A. V. Savin
The effect of small nonlinear dissipation on the dynamics of system with stochastic web which is linear oscillator driven by pulses is studied. The scenario of coexisting attractor…
The coexistence and evolution of attractors in the web map with weak dissipation
A. V. Savin, D. V. Savin
The dynamics of the web map with weak linear dissipation is studied. The evolution of the coexisting attractors and the structure of their basins while changing the dissipation and…
Different types of critical behavior in conservatively coupled Hénon maps
D. V. Savin, A. P. Kuznetsov, A. V. Savin +1
We study the dynamics of two conservatively coupled Hénon maps at different levels of dissipation. It is shown that the decrease of dissipation leads to changes in the parameter pl…
On some properties of nearly conservative dynamics of Ikeda map and its relation with the conservative case
A. P. Kuznetsov, A. V. Savin, D. V. Savin
The behavior of the well-known Ikeda map with very weak dissipation (so called nearly conservative case) is investigated. The changes in the bifurcation structure of the parameter…