381 citations · 1.4k across the 32 of their papers we have counts for
32 papers
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…
Model-free prediction of multistability using echo state network
Mousumi Roy, Swarnendu Mandal, Chittaranjan Hens +3
In the field of complex dynamics, multistable attractors have been gaining a significant attention due to its unpredictability in occurrence and extreme sensitivity to initial cond…
Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions
Shiva Dixit, Sayantan Nag Chowdhury, Awadhesh Prasad +2
The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora…
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…
A Note On Topological Conjugacy For Perpetual Points
Awadhesh Prasad
Recently a new class of critical points, termed as {\sl perpetual points}, where acceleration becomes zero but the velocity remains non-zero, is observed in nonlinear dynamical sys…