Dibakar Ghosh - Academia.edu (original) (raw)
Papers by Dibakar Ghosh
arXiv (Cornell University), Feb 4, 2019
Physical review, Feb 4, 2022
Physical review, Jun 19, 2020
Physics Reports, Feb 1, 2022
arXiv (Cornell University), Dec 2, 2022
arXiv (Cornell University), Sep 2, 2022
arXiv (Cornell University), Feb 6, 2008
Cognitive Neurodynamics, 2021
Physical review, Jan 4, 2019
Journal of Theoretical Biology
Predator-prey interactions are one of ecology's central research themes, but with many interdisci... more Predator-prey interactions are one of ecology's central research themes, but with many interdisciplinary implications across the social and natural sciences. Here we consider an often-overlooked species in these interactions, namely parasites. We first show that a simple predator-prey-parasite model, inspired by the classical Lotka-Volterra equations, fails to produce a stable coexistence of all three species, thus failing to provide a biologically realistic outcome. To improve this, we introduce free space as a relevant ecoevolutionary component in a new mathematical model that uses a game-theoretical payoff matrix to describe a more realistic setup. We then show that the consideration of free space stabilizes the dynamics by means of cyclic dominance that emerges between the three species. We determine the parameter regions of coexistence as well as the types of bifurcations leading to it by means of analytical derivations as well as by means of numerical simulations. We conclude that the consideration of free space as a finite resource reveals the limits of biodiversity in predator-prey-parasite interactions, and it may also help us in the determination of factors that promote a healthy biota.
PLOS ONE
Most environments favor defection over cooperation due to natural selection. Nonetheless, the eme... more Most environments favor defection over cooperation due to natural selection. Nonetheless, the emergence of cooperation is omnipresent in many biological, social, and economic systems, quite contrary to the well-celebrated Darwinian theory of evolution. Much research has been devoted to better understanding how and why cooperation persists among self-interested individuals despite their competition for limited resources. Here we go beyond a single social dilemma since individuals usually encounter various social challenges. In particular, we propose and study a mathematical model incorporating both the prisoner’s dilemma and the snowdrift game. We further extend this model by considering ecological signatures like mutation and selfless one-sided contribution of altruist free space. The nonlinear evolutionary dynamics that results from these upgrades offer a broader range of equilibrium outcomes, and it also often favors cooperation over defection. With the help of analytical and nume...
Chaos: An Interdisciplinary Journal of Nonlinear Science
Mounting evidence in recent years suggests that astrocytes, a sub-type of glial cells, not only s... more Mounting evidence in recent years suggests that astrocytes, a sub-type of glial cells, not only serve metabolic and structural support for neurons and synapses but also play critical roles in the regulation of proper functioning of the nervous system. In this work, we investigate the effect of astrocytes on the spontaneous firing activity of a neuron through a combined model that includes a neuron–astrocyte pair. First, we show that an astrocyte may provide a kind of multistability in neuron dynamics by inducing different firing modes such as random and bursty spiking. Then, we identify the underlying mechanism of this behavior and search for the astrocytic factors that may have regulatory roles in different firing regimes. More specifically, we explore how an astrocyte can participate in the occurrence and control of spontaneous irregular spiking activity of a neuron in random spiking mode. Additionally, we systematically investigate the bursty firing regime dynamics of the neuron ...
Frontiers in Computational Neuroscience
Editorial on the Research Topic Modeling brain function at the level of neurons and circuits via ... more Editorial on the Research Topic Modeling brain function at the level of neurons and circuits via computational and data-driven approaches
Europhysics Letters
Swarmalators have emerged as a new paradigm for dynamical collective behavior of multi-agent syst... more Swarmalators have emerged as a new paradigm for dynamical collective behavior of multi-agent systems due to the interplay of synchronization and swarming that they inherently incorporate. Their dynamics have been explored with different coupling topologies, interaction functions, external forcing, noise, competitive interactions, and from other important viewpoints. Here we take a systematic approach and review the collective dynamics of swarmalators analytically and/or numerically. Long-term states of position aggregation and phase synchronization are revealed in this perspective with some future problems.
Neurocomputing, 2020
The synchronized behavior of neurons depends on the structure and function of the synaptic connec... more The synchronized behavior of neurons depends on the structure and function of the synaptic connections between them. One of the activity-dependent synaptic modifications is the burst-timing-dependent plasticity, which relies on the latencies of the presynaptic and postsynaptic bursts. In this paper, we, therefore, study the collective behavior of a neuronal network with burst-timing-dependent plasticity, in particular, focusing on the emergence of chimera states. We consider separately non-local and global couplings, which have substantial effects on the collective dynamics. We show that the considered bursttiming-dependent plasticity leads to different behavior from static networks. The histogram of the synaptic strengths, in particular, reveals a different evolution of the chimera states in comparison to the development of synchronous and asynchronous states.
Annals of Physics 353 (2015) 222–237, 2015
This paper examines the chaotic dynamics of certain damped and forced versions of classical count... more This paper examines the chaotic dynamics of certain damped and forced versions of classical counterpart of generalized quantum nonlinear oscillator endowed with position dependent mass (PDM). Various bifurcations such as symmetry breaking, period doubling, inverse period doubling, interior and boundary crises are reported. Sensitivity of the mass parameter η to the chaotic dynamics of the system is demonstrated by the appearance of completely different route to chaos for η > 0 and η < 0. In the former case the chaotic motion is found to set in through period doubling route while in the latter case there is quasiperiodic route to chaos via strange non-chaotic attractor. Fractal boundaries are observed in chaos plots for η > 0.
Scientific Reports
We study the intricate interplay between ecological and evolutionary processes through the lens o... more We study the intricate interplay between ecological and evolutionary processes through the lens of the prisoner’s dilemma game. But while previous studies on cooperation amongst selfish individuals often assume instantaneous interactions, we take into consideration delays to investigate how these might affect the causes underlying prosocial behavior. Through analytical calculations and numerical simulations, we demonstrate that delays can lead to oscillations, and by incorporating also the ecological variable of altruistic free space and the evolutionary strategy of punishment, we explore how these factors impact population and community dynamics. Depending on the parameter values and the initial fraction of each strategy, the studied eco-evolutionary model can mimic a cyclic dominance system and even exhibit chaotic behavior, thereby highlighting the importance of complex dynamics for the effective management and conservation of ecological communities. Our research thus contributes...
![Research paper thumbnail of Erratum: “Controlling species densities in structurally perturbed intransitive cycles with higher-order interactions” [Chaos 32(10), 103122 (2022)]](https://attachments.academia-assets.com/109738713/thumbnails/1.jpg)
](Chaos: An Interdisciplinary Journal of Nonlinear Science
arXiv (Cornell University), Feb 4, 2019
Physical review, Feb 4, 2022
Physical review, Jun 19, 2020
Physics Reports, Feb 1, 2022
arXiv (Cornell University), Dec 2, 2022
arXiv (Cornell University), Sep 2, 2022
arXiv (Cornell University), Feb 6, 2008
Cognitive Neurodynamics, 2021
Physical review, Jan 4, 2019
Journal of Theoretical Biology
Predator-prey interactions are one of ecology's central research themes, but with many interdisci... more Predator-prey interactions are one of ecology's central research themes, but with many interdisciplinary implications across the social and natural sciences. Here we consider an often-overlooked species in these interactions, namely parasites. We first show that a simple predator-prey-parasite model, inspired by the classical Lotka-Volterra equations, fails to produce a stable coexistence of all three species, thus failing to provide a biologically realistic outcome. To improve this, we introduce free space as a relevant ecoevolutionary component in a new mathematical model that uses a game-theoretical payoff matrix to describe a more realistic setup. We then show that the consideration of free space stabilizes the dynamics by means of cyclic dominance that emerges between the three species. We determine the parameter regions of coexistence as well as the types of bifurcations leading to it by means of analytical derivations as well as by means of numerical simulations. We conclude that the consideration of free space as a finite resource reveals the limits of biodiversity in predator-prey-parasite interactions, and it may also help us in the determination of factors that promote a healthy biota.
PLOS ONE
Most environments favor defection over cooperation due to natural selection. Nonetheless, the eme... more Most environments favor defection over cooperation due to natural selection. Nonetheless, the emergence of cooperation is omnipresent in many biological, social, and economic systems, quite contrary to the well-celebrated Darwinian theory of evolution. Much research has been devoted to better understanding how and why cooperation persists among self-interested individuals despite their competition for limited resources. Here we go beyond a single social dilemma since individuals usually encounter various social challenges. In particular, we propose and study a mathematical model incorporating both the prisoner’s dilemma and the snowdrift game. We further extend this model by considering ecological signatures like mutation and selfless one-sided contribution of altruist free space. The nonlinear evolutionary dynamics that results from these upgrades offer a broader range of equilibrium outcomes, and it also often favors cooperation over defection. With the help of analytical and nume...
Chaos: An Interdisciplinary Journal of Nonlinear Science
Mounting evidence in recent years suggests that astrocytes, a sub-type of glial cells, not only s... more Mounting evidence in recent years suggests that astrocytes, a sub-type of glial cells, not only serve metabolic and structural support for neurons and synapses but also play critical roles in the regulation of proper functioning of the nervous system. In this work, we investigate the effect of astrocytes on the spontaneous firing activity of a neuron through a combined model that includes a neuron–astrocyte pair. First, we show that an astrocyte may provide a kind of multistability in neuron dynamics by inducing different firing modes such as random and bursty spiking. Then, we identify the underlying mechanism of this behavior and search for the astrocytic factors that may have regulatory roles in different firing regimes. More specifically, we explore how an astrocyte can participate in the occurrence and control of spontaneous irregular spiking activity of a neuron in random spiking mode. Additionally, we systematically investigate the bursty firing regime dynamics of the neuron ...
Frontiers in Computational Neuroscience
Editorial on the Research Topic Modeling brain function at the level of neurons and circuits via ... more Editorial on the Research Topic Modeling brain function at the level of neurons and circuits via computational and data-driven approaches
Europhysics Letters
Swarmalators have emerged as a new paradigm for dynamical collective behavior of multi-agent syst... more Swarmalators have emerged as a new paradigm for dynamical collective behavior of multi-agent systems due to the interplay of synchronization and swarming that they inherently incorporate. Their dynamics have been explored with different coupling topologies, interaction functions, external forcing, noise, competitive interactions, and from other important viewpoints. Here we take a systematic approach and review the collective dynamics of swarmalators analytically and/or numerically. Long-term states of position aggregation and phase synchronization are revealed in this perspective with some future problems.
Neurocomputing, 2020
The synchronized behavior of neurons depends on the structure and function of the synaptic connec... more The synchronized behavior of neurons depends on the structure and function of the synaptic connections between them. One of the activity-dependent synaptic modifications is the burst-timing-dependent plasticity, which relies on the latencies of the presynaptic and postsynaptic bursts. In this paper, we, therefore, study the collective behavior of a neuronal network with burst-timing-dependent plasticity, in particular, focusing on the emergence of chimera states. We consider separately non-local and global couplings, which have substantial effects on the collective dynamics. We show that the considered bursttiming-dependent plasticity leads to different behavior from static networks. The histogram of the synaptic strengths, in particular, reveals a different evolution of the chimera states in comparison to the development of synchronous and asynchronous states.
Annals of Physics 353 (2015) 222–237, 2015
This paper examines the chaotic dynamics of certain damped and forced versions of classical count... more This paper examines the chaotic dynamics of certain damped and forced versions of classical counterpart of generalized quantum nonlinear oscillator endowed with position dependent mass (PDM). Various bifurcations such as symmetry breaking, period doubling, inverse period doubling, interior and boundary crises are reported. Sensitivity of the mass parameter η to the chaotic dynamics of the system is demonstrated by the appearance of completely different route to chaos for η > 0 and η < 0. In the former case the chaotic motion is found to set in through period doubling route while in the latter case there is quasiperiodic route to chaos via strange non-chaotic attractor. Fractal boundaries are observed in chaos plots for η > 0.
Scientific Reports
We study the intricate interplay between ecological and evolutionary processes through the lens o... more We study the intricate interplay between ecological and evolutionary processes through the lens of the prisoner’s dilemma game. But while previous studies on cooperation amongst selfish individuals often assume instantaneous interactions, we take into consideration delays to investigate how these might affect the causes underlying prosocial behavior. Through analytical calculations and numerical simulations, we demonstrate that delays can lead to oscillations, and by incorporating also the ecological variable of altruistic free space and the evolutionary strategy of punishment, we explore how these factors impact population and community dynamics. Depending on the parameter values and the initial fraction of each strategy, the studied eco-evolutionary model can mimic a cyclic dominance system and even exhibit chaotic behavior, thereby highlighting the importance of complex dynamics for the effective management and conservation of ecological communities. Our research thus contributes...
Chaos: An Interdisciplinary Journal of Nonlinear Science