Chaos, coexisting attractors and chaos control in a nonlinear dissipative chemical oscillator

AJ Adéchinan, YJF Kpomahou, LA Hinvi… - Chinese Journal of …, 2022 - Elsevier
In this paper, chaos, coexisting behaviors of attractors and passive control in a dissipative
chemical system modeled by a nonautonomous generalized mixed Rayleigh–Liénard …

A fractional approach to a computational eco-epidemiological model with holling type-II functional response

B Günay, P Agarwal, JLG Guirao, S Momani - Symmetry, 2021 - mdpi.com
Eco-epidemiological can be considered as a significant combination of two research fields
of computational biology and epidemiology. These problems mainly take ecological systems …

Reward versus punishment: averting the tragedy of the commons in eco-evolutionary dynamics

SS Mondal, M Pathak… - Journal of Physics …, 2022 - iopscience.iop.org
We consider an unstructured population of individuals who are randomly matched in an
underlying population game in which the payoffs depend on the evolving state of the …

Nonlinear dynamics, coexistence of attractors and microcontroller implementation of a modified Helmholtz Jerk oscillator

R Fangnon, VK Tamba, CH Miwadinou… - Physica …, 2023 - iopscience.iop.org
In this work, we converted a two-dimensional modified Helmholtz oscillator into a three-
dimensional modified Helmholtz jerk oscillator. The study of the stability of the fixed points is …

Effect of biharmonic excitation on complex dynamics of a two-degree-of-freedom heavy symmetric gyroscope

JM Aguessivognon, CH Miwadinou… - Physica …, 2023 - iopscience.iop.org
This work analyzes the chaotic dynamics and the coexistence of attractors and their control
in the complex dynamics of a rotating gyroscope modeled following Euler angles using the …

Periodic orbits in deterministic discrete-time evolutionary game dynamics: An information-theoretic perspective

S Bhattacharjee, VK Dubey, A Mukhopadhyay… - Physical Review E, 2023 - APS
Even though the existence of nonconvergent evolution of the states of populations in
ecological and evolutionary contexts is an undeniable fact, insightful game-theoretic …

Replicator-mutator dynamics of the rock-paper-scissors game: Learning through mistakes

S Chakraborty, I Agarwal, S Chakraborty - Physical Review E, 2024 - APS
We generalize the Bush-Mosteller learning, the Roth-Erev learning, and the social learning
to include mistakes, such that the nonlinear replicator-mutator equation with either additive …

Oscillatory equilibrium in asymmetric evolutionary games: Generalizing evolutionarily stable strategy

VK Dubey, S Chakraborty, S Chakraborty - Dynamic Games and …, 2024 - Springer
The concept of evolutionarily stability and its relation with the fixed points of the replicator
equation are important aspects of evolutionary game dynamics. In the light of the fact that …

Evolutionary dynamics of the travel mode choice behavior based on the replicator-mutator model

F Zhao, H Shang, T Li - Chinese Journal of Physics, 2025 - Elsevier
In this paper, we use the evolution dynamics of the replicator-mutator equation to
understand people's travel mode choices considering the traveler's bounded rationality. We …

Selection-recombination-mutation dynamics: Gradient, limit cycle, and closed invariant curve

S Chakraborty, S Chakraborty - Physical Review E, 2023 - APS
In this paper, the replicator dynamics of the two-locus two-allele system under weak
mutation and weak selection is investigated in a generation-wise nonoverlapping …