16 citations · 48 across the 14 of their papers we have counts for
15 papers
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…
Bernoulli mapping with hole and a saddle-node scenario of the birth of hyperbolic Smale--Williams attractor
Olga B. Isaeva, Igor R. Sataev
One-dimensional Bernoulli mapping with hole is suggested to describe the regularities of the appearance of a chaotic set under the saddle-node scenario of the birth of the Smale--W…
Chaotic Communication with Robust Hyperbolic Transmitter and Receiver
Olga B. Isaeva, Alexey Yu. Jalnine, Sergey P. Kuznetsov
New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined osci…
A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid
Olga B. Isaeva, Sergey P. Kuznetsov, Igor R. Sataev
Formation or destruction of hyperbolic chaotic attractor under parameter variation is considered with an example represented by Smale--Williams solenoid in stroboscopic Poincaré ma…
Phenomena of complex analytic dynamics in the systems of alternately excited coupled non-autonomous oscillators and self-sustained oscillators
O. B. Isaeva, S. P. Kuznetsov, A. H. Osbaldestin
A feasible model is introduced that manifests phenomena intrinsic to iterative complex analytic maps (such as the Mandelbrot set and Julia sets). The system is composed of two coup…
Phenomena of complex analytic dynamics in the non-autonomous, nonlinear ring system
O. B. Isaeva, S. P. Kuznetsov, M. A. Obichev
The model system manifesting phenomena peculiar to complex analytic maps is offered. The system is a non-autonomous ring cavity with nonlinear elements and filters,