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Papers by Vadim Anishchenko

2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2000

ABSTRACT

Technical Physics Letters

Physical Review E, 1997

Strange nonchaotic attractors SNA's typically appear in quasiperiodically forced nonlinear d... more Strange nonchaotic attractors SNA's typically appear in quasiperiodically forced nonlinear dynamical systems. These attractors were described by Grebogi et al. in 1984 1 and since then investigated in a number of numerical 2–15 and experimental 16, 17 studies. A ...

The book concerns the outstanding physicist from the Moscow State University, professor, an autho... more The book concerns the outstanding physicist from the Moscow State University, professor, an author of teaching courses for secondary schools and Universities, Yu. L. Klimontovich (28.09.1924 - 27.11.2002). It includes his own recollections about colleagues as well as appreciations of scientists from every where about him. The book includes also travel notes by Klimontovich. A number of photographs is included. A list of monographs and selected papers written by him is included. The book is designed for a large circle of readers.

We show experimentally that the instantaneous phase dynamics has a great importance for the mixin... more We show experimentally that the instantaneous phase dynamics has a great importance for the mixing in chaotic systems. In spite of some differences in the phase behavior, there is a common regularity of the correlations decay for a system in the regime of spiral chaos and a noisy self‐sustained quasiharmonic oscillator. © 2004 American Institute of Physics

Statistical properties of Poincar ́e recurrences in a two-dimensional map with chaotic non-strang... more Statistical properties of Poincar ́e recurrences in a two-dimensional map with chaotic non-strange attractor have been studied in numerical simulations. A local and a global approaches were analyzed in the framework of the considered problem. It has been shown that the local approach corresponds to Kac’s theorem including the case of a noisy system in certain conditions which have been established. Numerical proof of theoretical results for a global approach as well as the Afraimovich – Pesin dimension calculation are presented.

We propose a combined approach to extract transmitted messages from a chaotic carrier based on th... more We propose a combined approach to extract transmitted messages from a chaotic carrier based on the reconstruction of dynamical systems and the discrete wavelet-transform. Such approach allows us to increase the quality of demodulation technique.

In the paper the experimental results on the bifurcational scenario of external synchtonization o... more In the paper the experimental results on the bifurcational scenario of external synchtonization of a limit cycle lying on the surface of a two-dimensional torus are presented. The synchronization phenomenon in the vicinity on resonances on a torus with winding numbers 1:1 and 1:3 is considered

2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2000

ABSTRACT

Technical Physics Letters

Physical Review E, 1997

Strange nonchaotic attractors SNA's typically appear in quasiperiodically forced nonlinear d... more Strange nonchaotic attractors SNA's typically appear in quasiperiodically forced nonlinear dynamical systems. These attractors were described by Grebogi et al. in 1984 1 and since then investigated in a number of numerical 2–15 and experimental 16, 17 studies. A ...

The book concerns the outstanding physicist from the Moscow State University, professor, an autho... more The book concerns the outstanding physicist from the Moscow State University, professor, an author of teaching courses for secondary schools and Universities, Yu. L. Klimontovich (28.09.1924 - 27.11.2002). It includes his own recollections about colleagues as well as appreciations of scientists from every where about him. The book includes also travel notes by Klimontovich. A number of photographs is included. A list of monographs and selected papers written by him is included. The book is designed for a large circle of readers.

We show experimentally that the instantaneous phase dynamics has a great importance for the mixin... more We show experimentally that the instantaneous phase dynamics has a great importance for the mixing in chaotic systems. In spite of some differences in the phase behavior, there is a common regularity of the correlations decay for a system in the regime of spiral chaos and a noisy self‐sustained quasiharmonic oscillator. © 2004 American Institute of Physics

Statistical properties of Poincar ́e recurrences in a two-dimensional map with chaotic non-strang... more Statistical properties of Poincar ́e recurrences in a two-dimensional map with chaotic non-strange attractor have been studied in numerical simulations. A local and a global approaches were analyzed in the framework of the considered problem. It has been shown that the local approach corresponds to Kac’s theorem including the case of a noisy system in certain conditions which have been established. Numerical proof of theoretical results for a global approach as well as the Afraimovich – Pesin dimension calculation are presented.

We propose a combined approach to extract transmitted messages from a chaotic carrier based on th... more We propose a combined approach to extract transmitted messages from a chaotic carrier based on the reconstruction of dynamical systems and the discrete wavelet-transform. Such approach allows us to increase the quality of demodulation technique.

In the paper the experimental results on the bifurcational scenario of external synchtonization o... more In the paper the experimental results on the bifurcational scenario of external synchtonization of a limit cycle lying on the surface of a two-dimensional torus are presented. The synchronization phenomenon in the vicinity on resonances on a torus with winding numbers 1:1 and 1:3 is considered

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