Browsing by Author "Jafari, Sajad"
Now showing items 1-14 of 14
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A fractional-order model for the novel coronavirus (COVID-19) outbreak
( Springer , 2020 , Article)The outbreak of the novel coronavirus (COVID-19), which was firstly reported in China, has affected many countries worldwide. To understand and predict the transmission dynamics of this disease, mathematical models can be ... -
A new megastable chaotic oscillator with singularity
( Springer Science and Business Media Deutschland GmbH , 2020 , Article)While multistability is known as a hot topic in nonlinear dynamics, two exceptional cases of multistable systems have been investigated less: extreme multistable systems and megastable systems are two newer categories of ... -
A new megastable nonlinear oscillator with infinite attractors
( Elsevier , 2020 , Article)Dynamical systems with megastable properties are very rare in the literature. In this paper, we introduce a new two-dimensional megastable dynamical system with a line of equilibria, having an infinite number of stable ... -
A New Memristive Chaotic System with a Plane and Two Lines of Equilibria
( World Scientific , 2021 , Article)A new 4D memristive chaotic system with an infinite number of equilibria is proposed via exhaustive computer search. Interestingly, such a new memristive system has a plane of equilibria and two other lines of equilibria. ... -
A new oscillator with mega-stability and its Hamilton energy: Infinite coexisting hidden and self-excited attractors
( American Institute of Physics Inc. , 2020 , Article)In this paper, we introduce an interesting new megastable oscillator with infinite coexisting hidden and self-excited attractors (generated by stable fixed points and unstable ones), which are fixed points and limit cycles ... -
A New System with a Self-Excited Fully-Quadratic Strange Attractor and Its Twin Strange Repeller
( World Scientific , 2021 , Article)In nonlinear dynamics, the study of chaotic systems has attracted the attention of many researchers around the world due to the exciting and peculiar properties of such systems. In this regard, the present paper introduces ... -
A Simple Guide for Plotting a Proper Bifurcation Diagram
( World Scientific , 2021 , Article)In this paper, we propose a guideline for plotting the bifurcation diagrams of chaotic systems. We discuss numerical and mathematical facts in order to obtain more accurate and more elegant bifurcation diagrams. The ... -
Chimera state in a two-dimensional network of coupled genetic oscillators
( Institute of Physics Publishing , 2019 , Article)Due to the interaction of the cells, cellular communications are carried out with emergent collective behaviors, such as synchronization. In this paper, a network of coupled genetic oscillators is studied by considering a ... -
Chimera states in a multi-weighted neuronal network
( Elsevier , 2022 , Article)There are multiple types of interactions among neurons, each of which has a remarkable effect on the neurons' behavior. Due to the significance of chimeras in neural processes, in this paper, we study the impact of different ... -
Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium
(2022 , Article)Nonlinear dynamical systems with hidden attractors belong to a recent and hot area of research. Such systems can exist in different forms, such as without equilibrium or with a stable equilibrium point. This paper focuses ... -
A Novel Highly Nonlinear Quadratic System: Impulsive Stabilization, Complexity Analysis, and Circuit Designing
( Hindawi , 2022 , Article)This work introduces a three-dimensional, highly nonlinear quadratic oscillator with no linear terms in its equations. Most of the quadratic ordinary differential equations (ODEs) such as Chen, Rossler, and Lorenz have at ... -
Oyster oscillator: a novel mega-stable nonlinear chaotic system
( Springer , 2021 , Article)Designing novel mega-stable chaotic oscillators has been a hot topic of research lately. In the current paper, a two-dimensional mega-stable oscillator is presented. The oscillator has a vast amount of coexisting limit ... -
A simple one-dimensional map-based model of spiking neurons with wide ranges of firing rates and complexities
( Elsevier , 2022 , Article)This paper introduces a simple 1-dimensional map-based model of spiking neurons. During the past decades, dynamical models of neurons have been used to investigate the biology of human nervous systems. The models simulate ... -
Synchronization and chimeras in a network of photosensitive FitzHugh-Nagumo neurons
( Springer Science and Business Media B.V. , 2021 , Article)Recently, a photosensitive model has been proposed that takes into account nonlinear encoding and responses of photosensitive neurons that are subject to optical signals. In the model, a photocell term has been added to ...
