Multiple delay Rössler system—Bifurcation and chaos control
- D. Ghosh, A. Chowdhury, P. Saha
- 1 February 2008
Mathematics
Projective synchronization of new hyperchaotic system with fully unknown parameters
- D. Ghosh, Sikha Bhattacharya
- 1 July 2010
Physics
Projective synchronization of new hyperchaotic Newton–Leipnik system with fully unknown parameters is investigated in this paper. Based on Lyapunov stability theory, a new adaptive controller with…
The influence of time delay in a chaotic cancer model.
- S. Khajanchi, M. Perc, D. Ghosh
- 1 October 2018
Mathematics
Chaos
A mathematical model that describes how tumor cells evolve and survive the brief encounter with the immune system, mediated by effector cells and host cells is presented and it is shown that the delayed model exhibits periodic oscillations as well as chaotic behavior, which are often indicators of long-term tumor relapse.
On the various kinds of synchronization in delayed Duffing-Van der Pol system
- D. Ghosh, A. Chowdhury, P. Saha
- 1 July 2008
Computer Science
Dynamics on higher-order networks: a review
A variety of dynamical processes that have thus far been studied, including different synchronization phenomena, contagion processes, the evolution of cooperation and consensus formation, are studied.
Basin stability for chimera states
- Sarbendu Rakshit, B. Bera, M. Perc, D. Ghosh
- 18 April 2017
Mathematics
Scientific Reports
This report investigates the robustness of chimera states together with incoherent and coherent states in dependence on the initial conditions and shows further how the coexistence of different dynamical states can be identified and quantified by means of the basin stability measure over a wide range of the parameter space.
Synchronization and firing patterns of coupled Rulkov neuronal map
- Sarbendu Rakshit, Arnob Ray, B. Bera, D. Ghosh
- 12 June 2018
Computer Science
Nonlinear dynamics
This paper investigates stabilization, neuronal synchrony and different neuronal dynamics in two coupled neuronal Rulkov map in the presence of both inner linking function and chemical synaptic interactions, and surprisingly, delays can induce the mixed type of behavior to achieve the complete neuronal synchronous state.
The combined effects of optimal control in cancer remission
- S. Khajanchi, D. Ghosh
- 15 November 2015
Mathematics
Applied Mathematics and Computation
Alternating chimeras in networks of ephaptically coupled bursting neurons.
It is demonstrated that the presence of such non-locally and globally interacting external environments induces a stationary alternating chimera pattern in the ensemble of neurons, whereas in the local coupling limit, the network exhibits a transient chimera state whenever the local dynamics of the neurons is of the chaotic square-wave bursting type.
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