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2013
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Vadim Anishchenko

Vadim Anishchenko
Astrakhanskaya 83, 410026, Saratov, Russia
Saratov State University, Russia

Department of Physics, Saratov State University
Head of Radiophysics and Nonlinear Dynamics Chair, Saratov State University, Russia

Born: October 21, 1943
1961-1966: student of Saratov State University, Russia.
1968-1970: Post-graduate (Ph.D.) student, Saratov State University, Russia

PROFESSIONAL BACKGROUND

1968-1970: Post-graduate student, State University, Saratov, Russia
1970-1987: Assistent, First teacher, Associate professor,State University, Saratov, Russia
1987-1987: Professor, Humboldt University, Berlin
1987-1988: Professor, State University, Saratov, Russia
Since 1988: Head of Radiophysics and Nonlinear Dynamics Chair, State University, Saratov, Russia

ACADEMIC DEGREES

1970: Ph.D., Saratov State University, Russia
1987: Doctor of Sciences, Saratov State University, Russia
1989: Professor of Radiophysics and Nonlinear Dynamics Chair, Saratov State University, Russia
1994: Scientific Grant of the President of Russia and  Russian Academy of Sciences
1994: Soros Professor
1995: Honored Man of Science of Russia
1995: Corresponding Member of International Academy of Informatization (OON)
1997: Corresponding Member of Russian Academy of Natural Sciences

Publications:

Semenova N. I., Rybalova E. V., Strelkova G. I., Anishchenko V. S.
“Coherence–incoherence” Transition in Ensembles of Nonlocally Coupled Chaotic Oscillators with Nonhyperbolic and Hyperbolic Attractors
2017, vol. 22, no. 2, pp.  148-162
Abstract
We consider in detail similarities and differences of the “coherence–incoherence” transition in ensembles of nonlocally coupled chaotic discrete-time systems with nonhyperbolic and hyperbolic attractors. As basic models we employ the Hénon map and the Lozi map. We show that phase and amplitude chimera states appear in a ring of coupled Hénon maps, while no chimeras are observed in an ensemble of coupled Lozi maps. In the latter, the transition to spatio-temporal chaos occurs via solitary states. We present numerical results for the coupling function which describes the impact of neighboring oscillators on each partial element of an ensemble with nonlocal coupling. Varying the coupling strength we analyze the evolution of the coupling function and discuss in detail its role in the “coherence–incoherence” transition in the ensembles of Hénon and Lozi maps.
Keywords: ensemble of nonlocally coupled oscillators, chimera states, solitary states, hyperbolic and nonhyperbolic attractors, coupling function
Citation: Semenova N. I., Rybalova E. V., Strelkova G. I., Anishchenko V. S.,  “Coherence–incoherence” Transition in Ensembles of Nonlocally Coupled Chaotic Oscillators with Nonhyperbolic and Hyperbolic Attractors, Regular and Chaotic Dynamics, 2017, vol. 22, no. 2, pp. 148-162
DOI:10.1134/S1560354717020046
Anishchenko V. S., Astakhov S. V., Vadivasova T. E.
Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy
2010, vol. 15, no. 2-3, pp.  261-273
Abstract
In this paper we summarize and substantiate the relative metric entropy approach introduced in our previous papers [1,2]. Using this approach we study the mixing influence of noise on both regular and chaotic systems. We show that the synchronization phenomenon as well as stochastic resonance decrease, the degree of mixing is caused by white Gaussian noise.
Keywords: noisy dynamical systems, entropy, mixing, Kolmogorov entropy, recurrency plot
Citation: Anishchenko V. S., Astakhov S. V., Vadivasova T. E.,  Diagnostics of the degree of noise influence on a nonlinear system using relative metric entropy, Regular and Chaotic Dynamics, 2010, vol. 15, no. 2-3, pp. 261-273
DOI:10.1134/S1560354710020139

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