研究シーズ集

Mathematical methods in nonlinear science

研究概要

Some of the questions I am trying to answer in my research are:

• what are the basic mechanisms ledading to complexity and chaos in nonlinear oscillatory models?
• what is the role of resonances in complex behavior?
• how to predict chaos onset in nonlinear systems?
• how to describe complex phenomena with statistical methods?
• what is the origin of complexity observed in various experimental data sets, from turbulent jets behind the aircraft to radio sigals induced by plasma instabilities in Jupiter magnetosphere

当該シーズに関連する研究業績

• “Fast and slow frequency-drifting millisecond bursts in Jovian decametric radio emissions”, V. B. Ryabov, P. Zarka, S. Hess, A. Konovalenko, G. Litvinenko, V. Zakharenko, V. Shevchenko, B. Cecconi  , Astronomy & Astrophysics, 568, A53 (2014)
• “Computational mechanics of molecular systems: quantifying high dimensional dynamics by distribution of Poincare recurrence times”, V. Ryabov and D. Nerukh, Chaos 21, 037113 (2011) “Using Lyapunov Exponents to Predict the Onset of Chaos in Nonlinear Oscillators”, V. B. Ryabov, Phys. Rev. E, V. 66, 016214 (2002)