381 citations · 1.4k across the 32 of their papers we have counts for
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Saddle-Node Bifurcation of Periodic Orbit Route to Hidden Attractors in Nonlinear Dynamical Systems
Suresh Kumarasamy, Malay Banerjee, Vaibhav Varshney +3
Hidden attractors are present in many nonlinear dynamical systems and are not associated with equilibria, making them difficult to locate. Recent studies have demonstrated methods…
Perpetual points: New tool for localization of co-existing attractors in dynamical systems
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
Perpetual points (PPs) are special critical points for which the magnitude of acceleration describing dynamics drops to zero, while the motion is still possible (stationary points…
Perpetual points and periodic perpetual loci in maps
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
We introduce the concepts of perpetual points and periodic perpetual loci in discrete--time systems (maps). The occurrence and analysis of these points/loci are shown and basic exa…
Existence of perpetual points in nonlinear dynamical systems and its applications
Awadhesh Prasad
A new class of critical points, termed as perpetual points, where acceleration becomes zero but the velocity remains non-zero, are observed in dynamical systems. The velocity at th…
Amplitude Death: The cessation of oscillations in coupled nonlinear dynamical systems
Garima Saxena, Nirmal Punetha, Awadhesh Prasad +1
Here we extend a recent review (Physics Reports {\bf 521}, 205 (2012)) of amplitude death, namely the suppression of oscillations due to the coupling interactions between nonlinear…
Amplitude death phenomena in delay--coupled Hamiltonian systems
Garima Saxena, Awadhesh Prasad, Ram Ramaswamy
Hamiltonian systems, when coupled {\it via} time--delayed interactions, do not remain conservative. In the uncoupled system, the motion can typically be periodic, quasiperiodic or…