Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator–prey system

NC Pati - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
In this paper, we report the discovery of some novel dynamical scenarios for quasi-periodic
shrimp-shaped structures embedded within chaotic phases in bi-parameter space of a …

A multiplier-free Rulkov neuron under memristive electromagnetic induction: Dynamics analysis, energy calculation, and circuit implementation

S Zhang, C Wang, H Zhang, H Lin - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
Establishing a realistic and multiplier-free implemented biological neuron model is
significant for recognizing and understanding natural firing behaviors, as well as advancing …

Extreme multi-stability and microchaos of fractional-order memristive Rulkov neuron model considering magnetic induction and its digital watermarking application

D Ding, Y Niu, Z Yang, J Wang, W Wang, M Wang… - Nonlinear …, 2024 - Springer
This paper investigates a fractional-order Rulkov neuron model with discrete memristor
under external electromagnetic radiation. The magnetic flux fluctuation crossing the neuron …

A review on the complexities of brain activity: insights from nonlinear dynamics in neuroscience

D Vignesh, S He, S Banerjee - Nonlinear Dynamics, 2024 - Springer
The application of nonlinear dynamics in neuroscience has provided essential insights into
the functioning of the brain, shedding light on its complex behaviors and functions. This …

Multistability, coexisting behaviours and control of fractional order dissipative small scale grid with disturbances and noise

PC Gupta, PP Singh - The European Physical Journal Special Topics, 2023 - Springer
This paper introduces nonlinear analysis and control of a fraction order small-scale grid
(SSG) under the influence of disturbances and noise. Random wind power supply and …

On some aspects of the response to stochastic and deterministic forcings

MS Gutiérrez, V Lucarini - Journal of Physics A: Mathematical …, 2022 - iopscience.iop.org
The perturbation theory of operator semigroups is used to derive response formulas for a
variety of combinations of acting forcings and reference background dynamics. In the case of …

Chaos, periodic structures, and multistability: Complex dynamical behaviors of an eco-epidemiological model in parameter planes

S Garai, M Hossain, S Karmakar, N Pal - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
The environmental characteristics of a biological system are imbibed in some particular
parameters of that system. Significant changes in any system parameter exert influence on …

Quint points lattice and multistability in a damped-driven curved carbon nanotube oscillator model

C Manchein, B Fusinato, HS Chagas… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Single-walled carbon nanotubes (SWCNTs) can undergo arbitrarily large nonlinear
deformations without permanent damage to the atomic structure and mechanical properties …

Effects of external stimuli on the dynamics of deterministic and stochastic Hindmarsh–Rose neuron models

C Manchein, PC Rech - The European Physical Journal B, 2024 - Springer
We investigate the nonlinear dynamics of the deterministic and stochastic Hindmarsh–Rose
(HR) neuron models under the influence of an external sinusoidal electric current and …

Noise-induced extreme events in single Fitzhugh–Nagumo oscillator

S Hariharan, R Suresh, VK Chandrasekar - Chaos, Solitons & Fractals, 2025 - Elsevier
Abstract The FitzHugh–Nagumo (FHN) model serves as a fundamental neuronal model
which is extensively studied across various dynamical scenarios, we explore the dynamics …