164 citations · 1k across the 29 of their papers we have counts for
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Complex Dynamics of the Implicit Maps Derived from Iteration of Newton and Euler Method
Andrei A. Elistratov, Dmitry V. Savin, Olga B. Isaeva
Special exotic class of dynamical systems~ -- the implicit maps~ -- is considered. Such maps, particularly, can appear as a result of using of implicit and semi-implicit iterative…
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…
Efficient semiclassical approach for time delays
Jack Kuipers, Dmitry V. Savin, Martin Sieber
The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration…
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…