... combination with averaging technique ∙ Vladimir Ryabov, Kenta Fukushima Future University Hak... more ... combination with averaging technique ∙ Vladimir Ryabov, Kenta Fukushima Future University Hakodate, 116-2 Kamedanakano-cho Hakodate, Japan 041-8655 Email:riabov@fun.ac.jp Abstract: We study Melnikov conditions ...
... [Zarka et al., 1997] Zarka P., J. Queinnec, BP Ryabov, VB Ryabov, VA Shevchenko, AV Arkhipov,... more ... [Zarka et al., 1997] Zarka P., J. Queinnec, BP Ryabov, VB Ryabov, VA Shevchenko, AV Arkhipov, HO Rucker, L. Denis, A. Gerbault, P. Dierich and C. Rosolen, Ground-based high sensitivity radio astronomy at decameter wave-lengths, in 6Planetary Radio Emissions IVO ...
The aperiodic behavior of a two-dimensional stick-slip slider-block model of earthquakes is the s... more The aperiodic behavior of a two-dimensional stick-slip slider-block model of earthquakes is the subject of this study. The phenomenon of temporal phase transitions between creep and stick-slip motions is thoroughly analyzed and attributed to type-I intermittency. Asymmetry in the elastic forces is shown to play a key role in the emergence of complex behavior in the model. The unpredictability of chaotic bursts in the intermittent regime indicates potential difficulties for earthquake forecasting.
2005 18th International Conference on Applied Electromagnetics and Communications, 2005
... approximation Vladimir B. Ryabov and Takeshi Sugawara Complex Systems Department, Future Univ... more ... approximation Vladimir B. Ryabov and Takeshi Sugawara Complex Systems Department, Future University Hakodate, 116-2 Kameda Nakano-cho, Hakodate-shi, Hokkaido, Japan 041-8655 E-mail: riabov@fun.ac.jp Abstract ...
Analytical conditions of the onset of chaos in the weakly nonlinear Duffing equation with a quasi... more Analytical conditions of the onset of chaos in the weakly nonlinear Duffing equation with a quasiperiodic excitation are obtained in the framework of Melnikov's method. The comparison with the results of a numerical simulation is made. Characteristic features of oscillator dynamics associated with the arising of chaotic and multistable states are considered.
Chaos Theory - Modeling, Simulation and Applications - Selected Papers from the 3rd Chaotic Modeling and Simulation International Conference (CHAOS2010), 2011
Physical review. E, Statistical, nonlinear, and soft matter physics, 2002
An analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonom... more An analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonomous dissipative oscillators is proposed. The method is based on the Lyapunov-type stability analysis of an arbitrary phase trajectory and the standard procedure of calculating the Lyapunov characteristic exponents. The concept of temporally local Lyapunov exponents is then utilized for specifying the area in the phase space where any trajectory is asymptotically stable, and, therefore, the existence of chaotic attractors is impossible. The procedure of linear coordinate transform optimizing the linear part of the vector field is developed for the purpose of maximizing the stability area in the vicinity of a stable fixed point. By considering the inverse conditions of asymptotic stability, this approach allows formulating a necessary condition for chaotic motion in a broad class of nonlinear oscillatory systems, including many cases of practical interest. The examples of externally excite...
2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES, 2010
After twenty-five years of study on Saturn electrostatic discharges (SED) with the aid of spacecr... more After twenty-five years of study on Saturn electrostatic discharges (SED) with the aid of spacecrafts (Voyager I, II, Cassini) the first successful ground-based observations with radio telescopes UTR-2 were carried out. The result was unambiguous registration of 70 events by ground-...
The decameter wave radio spectrum (~10-50 MHz) suffers a very high pollution by man- made interfe... more The decameter wave radio spectrum (~10-50 MHz) suffers a very high pollution by man- made interference. However, it is a range well-suited to the search for exoplanets and the study of planetary (especially Saturnian) lightning, provided that very high sensitivity (~1 Jansky) is available at high time resolution (0.1-1 second). Such conditions require a very large decameter radiotelescope and a
... combination with averaging technique ∙ Vladimir Ryabov, Kenta Fukushima Future University Hak... more ... combination with averaging technique ∙ Vladimir Ryabov, Kenta Fukushima Future University Hakodate, 116-2 Kamedanakano-cho Hakodate, Japan 041-8655 Email:riabov@fun.ac.jp Abstract: We study Melnikov conditions ...
... [Zarka et al., 1997] Zarka P., J. Queinnec, BP Ryabov, VB Ryabov, VA Shevchenko, AV Arkhipov,... more ... [Zarka et al., 1997] Zarka P., J. Queinnec, BP Ryabov, VB Ryabov, VA Shevchenko, AV Arkhipov, HO Rucker, L. Denis, A. Gerbault, P. Dierich and C. Rosolen, Ground-based high sensitivity radio astronomy at decameter wave-lengths, in 6Planetary Radio Emissions IVO ...
The aperiodic behavior of a two-dimensional stick-slip slider-block model of earthquakes is the s... more The aperiodic behavior of a two-dimensional stick-slip slider-block model of earthquakes is the subject of this study. The phenomenon of temporal phase transitions between creep and stick-slip motions is thoroughly analyzed and attributed to type-I intermittency. Asymmetry in the elastic forces is shown to play a key role in the emergence of complex behavior in the model. The unpredictability of chaotic bursts in the intermittent regime indicates potential difficulties for earthquake forecasting.
2005 18th International Conference on Applied Electromagnetics and Communications, 2005
... approximation Vladimir B. Ryabov and Takeshi Sugawara Complex Systems Department, Future Univ... more ... approximation Vladimir B. Ryabov and Takeshi Sugawara Complex Systems Department, Future University Hakodate, 116-2 Kameda Nakano-cho, Hakodate-shi, Hokkaido, Japan 041-8655 E-mail: riabov@fun.ac.jp Abstract ...
Analytical conditions of the onset of chaos in the weakly nonlinear Duffing equation with a quasi... more Analytical conditions of the onset of chaos in the weakly nonlinear Duffing equation with a quasiperiodic excitation are obtained in the framework of Melnikov's method. The comparison with the results of a numerical simulation is made. Characteristic features of oscillator dynamics associated with the arising of chaotic and multistable states are considered.
Chaos Theory - Modeling, Simulation and Applications - Selected Papers from the 3rd Chaotic Modeling and Simulation International Conference (CHAOS2010), 2011
Physical review. E, Statistical, nonlinear, and soft matter physics, 2002
An analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonom... more An analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonomous dissipative oscillators is proposed. The method is based on the Lyapunov-type stability analysis of an arbitrary phase trajectory and the standard procedure of calculating the Lyapunov characteristic exponents. The concept of temporally local Lyapunov exponents is then utilized for specifying the area in the phase space where any trajectory is asymptotically stable, and, therefore, the existence of chaotic attractors is impossible. The procedure of linear coordinate transform optimizing the linear part of the vector field is developed for the purpose of maximizing the stability area in the vicinity of a stable fixed point. By considering the inverse conditions of asymptotic stability, this approach allows formulating a necessary condition for chaotic motion in a broad class of nonlinear oscillatory systems, including many cases of practical interest. The examples of externally excite...
2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES, 2010
After twenty-five years of study on Saturn electrostatic discharges (SED) with the aid of spacecr... more After twenty-five years of study on Saturn electrostatic discharges (SED) with the aid of spacecrafts (Voyager I, II, Cassini) the first successful ground-based observations with radio telescopes UTR-2 were carried out. The result was unambiguous registration of 70 events by ground-...
The decameter wave radio spectrum (~10-50 MHz) suffers a very high pollution by man- made interfe... more The decameter wave radio spectrum (~10-50 MHz) suffers a very high pollution by man- made interference. However, it is a range well-suited to the search for exoplanets and the study of planetary (especially Saturnian) lightning, provided that very high sensitivity (~1 Jansky) is available at high time resolution (0.1-1 second). Such conditions require a very large decameter radiotelescope and a
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