Joint seminar of Center for Language and Semantic Technologies and CSMC Lab "Different Chimera patterns in a Network of coupled Nonlinear Oscillators"
Center for Language and Semantic Technologies and Laboratory of Complex Systems Modeling and Control will have the online joint seminar on Friday, April 18, 13:00.
Zoom link
Title: Different Chimera patterns in a Network of coupled Nonlinear Oscillators
Speaker: Dr. K. Premalatha, Department of Physics, Builders Engineering College, Tiruppur, Tamil Nadu, India.
Abstract:
The dynamical systems in nature are rarely isolated. They are capable of mimic wide variety of dynamical behaviors while they are coupled through the interacting units. Depending on the intrinsic dynamics of the individual oscillators and the nature of the coupling, coupled dynamical systems can exhibit many interesting self-organized behaviors such as synchronization, quenching of oscillation, chimera states and so on [1]. Out of various dynamical behaviors exhibited by coupled dynamical systems, the spatio-temporal pattern of chimera states has received a wide attention in the contemporary literature. In general, chimera states refer to the spontaneous break up of a system of identical oscillators that are coupled into subgroups of oscillators displaying synchronized and desynchronized behaviours. This phenomenon was discovered about ten years ago in theoretical studies by Kuramoto and Battogtokh in a network of nonlocally coupled phase oscillators [2] and it was characterized by Abrams and Strogatz who dubbed these as chimera states because of their similarity to the mythological Greek beast made up of incongruous parts [3]. Motivated by the above facts, in this talk, the significance of nonisochronicity parameter in a network of nonlocally coupled oscillators with symmetry breaking form will be discussed. The presence of nonisochronicity parameter leads to structural changes in the chimera death region while varying the strength of the interaction. This gives rise to the existence of different types of chimera death states such as multi-chimera death state, type-I periodic chimera death state and, type-II periodic chimera death state. [4, 5, 6].
References:
1. S. Strogatz, Nonlinear Dynamics and chaos: with applications to physics, biology, chemistry, and engineering, CRC Press, London, 2018.
2. Y. Kuramoto and D. Battogtokh, Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscil- lators, Nonlinear Phenom. Complex Syst. 5, 380 (2002).
3. D. M. Abrams and S. H. Strogatz, Chimera States for Coupled Oscillators, Phys. Rev. Lett. 93, 174102 (2004).
4. K. Premalatha, V. K. Chandrasekar, M. Senthilvelan, and M. Lakshmanan, K. Premalatha, Imperfectly synchro- nized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators, Phys. Rev. E 94, 012311 (2016)
5. K. Premalatha, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan, Different kinds of chimera death states in nonlocally coupled oscillators, Phys.Rev.E Phys. Rev.E 93, 052213 (2016)
6. K. Premalatha, V.K. Chandrasekar, L. Senthilkumar, and M. Lakshmanan, Shear-induced symmetry-breaking dynamical states, The European Physical Journal Plus, 138 (2023) 755.