Research Interests
Research Interest:
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Nonlinear Science
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Suppression of oscillations: Amplitude Death and Oscillation Death
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Revival of oscillation
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Synchronization and phase-flip
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Explosive Death and Explosive synchronization
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Environmental coupling
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Mean-Field diffusive coupling
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Quorum Sensing
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Nonlinear Electronic Circuits
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Chimera
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Neuronal system
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Multiplex network
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Higher-order interaction
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Adoptive coupling
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Suppression of Oscillations:
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Suppression of oscillation is an emergent and intriguing phenomenon that has been the topic of extensive research in diverse fields such as physics, biology, and engineering. It can be classified into two classes namely amplitude death (AD) and oscillation death (OD). AD corresponding to a situation in which the oscillation of coupled oscillators are suppressed in such a way that they stabilize to the same stable steady state which was otherwise unstable. However in OD oscillators populate at coupling dependent different stable steady state, or a common stable steady state which are created due to coupling. AD is important in control application, where unwanted fluctuation necessary to suppressed, whereas OD has significant applications biological systems.
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Brief research statement
Explosive death induced by mean–field diffusion in inidentical oscillators:- The transition from the oscillatory state to death state and vice versa can be discontinuous and irreversible in the networks of identical coupled limit cycle and chaotic oscillators.
Phase-flip and oscillation quenching states transitions through environmental diffusive coupling:- The phase-flip and oscillation quenching states can be induces in nonlinear oscillators with environmental diffusive coupling, where interaction in dynamical systems is maintained through its dynamical agents and dynamical agents also interact with each other through mean field diffusive coupling.