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Семинар НУЛ МУСС: Dr. Suresh Kumarasamy "Birth of Strange nonchaotic Attractors Nonlinear Dynamical Systems"

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Приглашаем Вас на семинар лаборатории НУЛ МУСС в этот четверг, 26 мая, 16:20.

Title: Birth of Strange nonchaotic Attractors Nonlinear Dynamical Systems

Speaker: Dr. Suresh Kumarasamy (Centre for Nonlinear Science, Chennai Institute of Technology, Tamilnadu, India)

 A brief note on Strange Nonchaotic Attractors:

Strange Nonchaotic Attractors (SNAs) are well known to appear in periodic and quasi-periodically forced smooth dynamical systems and autonomous nonsmooth dynamical systems.  The SNAs possess a complex geometrical structure, which shows them to be truly fractal in nature. However, they do not have any sensitive dependence on initial conditions, as is seen from the negative maximal Lyapunov exponent. It was identified by Grebogi et al. Following the pioneering work, many researchers have found the existence of SNAs in several physically important systems and have beenclassified the different mechanisms for their occurrence. To mention a few systems such as pulsating star, quasi-periodically forced pendulum, the quantum particles in quasi-periodic potentials, biological oscillators, Duffing-type oscillators, velocity-dependent oscillators, electronic circuits, and forced buckled ribbon neon glow-discharge experiment. The presence of SNAs in a wide range of dynamical systems shows the robustness of this phenomenon. The talk will deal with strange nonchaotic attractors in different dynamical systems and demonstrate their experimental observations and numerical techniques.

The outcome of the Talk:

At the end of the talk, the participants will learn about the phenomenon of the strange nonchaotic attractor.

  • How SNAs appear in nonlinear dynamical systems?
  • Properties of strange nonchaotic attractors.
  • Characterization techniques of SNAs like singular continuous spectrum, phase sensitivity exponent, finite-time Lyapunov exponent, separation of nearby trajectories, recurrence analysis, rational approximation.