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Your search keyword '"Strelkova, Galina I."' showing total 112 results
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112 results on '"Strelkova, Galina I."'

1. External and mutual synchronization of chimeras in a two layer network of nonlinear oscillators

Author

Bukh, Andrei V., Strelkova, Galina I., and Anishchenko, Vadim S.

Subjects
Nonlinear Sciences - Adaptation and Self-Organizing Systems, 65Z05, 37M05
Abstract

We study numerically synchronization phenomena of spatiotemporal structures, including chimera states, in a two layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each of the interacting ensembles represents a one layer ring network of nonlocally coupled logistic maps in the chaotic regime. The coupled networks differ in their control parameters that enables one to observe distinct spatiotemporal dynamics in the networks when there is no coupling between them. We explore in detail external and mutual synchronization of chimera structures. The identity of synchronous structures and the estimation of synchronization regions are quantified by calculating the cross-correlation coefficient between relevant oscillators of the networks. We show that for non-identical networks, unidirectional and symmetric couplings lead to external and mutual synchronization between the interacting ensembles, respectively. This is confirmed by identical synchronous structures and by the existence of finite regions of synchronization within which the cross-correlation coefficient is equal to 1. We also show that these findings are qualitatively equivalent to the results of the classical synchronization theory of periodic self-sustained oscillations., Comment: 9 pages, 12 figures

Published
2018

3. New type of chimera structures in a ring of bistable FitzHugh-Nagumo oscillators with nonlocal interaction

Author

Shepelev, Igor A., Vadivasova, Tatiana E., Strelkova, Galina. I., and Anishchenko, Vadim S.

Subjects
Nonlinear Sciences - Chaotic Dynamics
Abstract

We study the spatiotemporal dynamics of a ring of nonlocally coupled FitzHugh-Nagumo oscillators in the bistable regime. A new type of chimera patterns has been found in the noise-free network and when isolated elements do not oscillate. The region of existence of these structures has been explored when the coupling range and the coupling strength between the network elements are varied., Comment: 5 figures

Published
2016
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6. Quasiperiodic Oscillator with Two Independent Frequencies

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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7. Systems with Phase Space Dimension N ≥ 3: Deterministic Chaos

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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8. Characteristics of Poincaré Recurrences

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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9. From Order to Chaos: Bifurcation Scenarios (Part I)

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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10. Robust and Nonrobust Dynamical Systems: Classification of Attractor Types

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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11. Bifurcations of Dynamical Systems

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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12. Stability of Dynamical Systems: Linear Approach

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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13. Dynamical Systems with One Degree of Freedom

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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14. Synchronization of Chaotic Oscillations

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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15. Dynamical Systems

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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16. Synchronization of Two-Frequency Self-Sustained Oscillations

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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17. The Anishchenko–Astakhov Oscillator of Chaotic Self-Sustained Oscillations

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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18. Synchronization of Periodic Self-Sustained Oscillations

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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19. Fractals in Nonlinear Dynamics

Author

Anishchenko, Vadim S., Vadivasova, Tatyana E., Strelkova, Galina I., Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, Anishchenko, Vadim S., Vadivasova, Tatyana E., and Strelkova, Galina I.

Published
2014
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23. Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation

Author

Bukh, Andrei V., Shepelev, Igor A., Elizarov, Evgeny M., Muni, Sishu Shankar, Schöll, Eckehard, and Strelkova, Galina I.

Subjects
oscillators, 500 Naturwissenschaften und Mathematik::530 Physik::530 Physik, oscillatory activity, FitzHugh–Nagumo systems, dissipation, neuronal systems
Abstract

We study numerically effects of time delay in networks of delay-coupled excitable FitzHugh–Nagumo systems with dissipation. Generation of periodic self-sustained oscillations and its threshold are analyzed depending on the dissipation of a single neuron, the delay time, and random initial conditions. The peculiarities of spatiotemporal dynamics of time-delayed bidirectional ring-structured FitzHugh–Nagumo neuronal systems are investigated in cases of local and nonlocal coupling topology between the nodes, and a first-order nonequilibrium phase transition to synchrony is established. It is shown that the emergence of an oscillatory activity in delay-coupled FitzHugh–Nagumo neurons is observed for smaller values of the coupling strength as the dissipation parameter decreases. This can provide the possibility of controlling the spatiotemporal behavior of the considered neuronal networks. The observed effects are quantified by plotting distributions of the maximal Lyapunov exponent and the global order parameter in terms of delay and coupling strength.

Published
2023
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41. Dynamical Systems

Author

Anishchenko, Vadim S., primary, Vadivasova, Tatyana E., additional, and Strelkova, Galina I., additional

Published
2014
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