Fatemeh Parastesh

Fatemeh Parastesh
Amirkabir University of Technology | TUS · Department of Biomedical Engineering

Ph.D.

About

103
Publications
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2,117
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Introduction

Publications

Publications (103)
Article
Analysis of a dynamic system helps scientists understand its properties and utilize it properly in different applications. This study analyzes the effects of various external excitements on a recently proposed mathematical neuron model derived from the original Fitzhugh–Nagumo model. Different bifurcation analyses on this system are conducted to de...
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Understanding the impact of cognitive workload on neuronal synchronization and brain network structure is crucial for deciphering brain function across various cognitive tasks. This study explores how different levels of cognitive workload influence brain activity during driving, focusing on urban and motorway settings with and without traffic. By...
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The synchronization of chaotic systems has garnered considerable attention across various fields, including neuroscience and physics. Particularly in these domains, synchronizing physical systems such as laser models is crucial for secure and rapid information transmission. Consequently, numerous studies investigate the synchronizability of differe...
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Epilepsy is a multifaceted neurological condition marked by repetitive seizures that arise from irregular electrical activity in the brain. To understand this condition, a thorough examination of brain signals captured in different states is needed. In order to examine the dynamic behavior of brain signals in three different conditions: healthy, se...
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The master stability function is a robust and useful tool for determining the conditions of synchronization stability in a network of coupled systems. While a comprehensive classification exists in the case in which the nodes are chaotic dynamical systems, its application to periodic systems has been less explored. By studying several well-known pe...
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This brief proposes a systematic method for building multi-lobe locally active memristors (LAMs) via the rectified linear unit (ReLU) function. Theoretical analysis and numerical simulations display that the number of equilibrium states and lobes, and the local active domain range of the ReLU function-based LAM are controllable. All the multi-lobe...
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As a paradigm bridging the mathematical chaos to physical one, Chua's circuit and its dimensionless Chua's system have been widely studied and applied. From the completeness point of view, it is an interesting issue under investigation that how many potential Chua's circuit variants exist within the framework of a single Chua's system. Follow the d...
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The systematic control of chaotic phase orbits in desired location and orientation favors of the generation of multiwing/scroll attractors for potential industrial applications, which is an attractive but challenging work. In this article, we present a universal matrix transformation method for generating multistructure chaotic attractors. First, s...
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The generation of multiplex-structure attractor mainly profits from the control of phase orbits in terms of location and orientation. It is an attractive but challenging task to implement trajectory control of stable-equilibrium-type hyperchaotic system to generate multiplex hidden attractors. This article presents a rotation switching scheme for g...
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Complex networks require energy balance to maintain cohesion between interconnected nodes. The analysis of energy exchange inside neuronal networks is an essential aspect. This research investigates the Hamiltonian energy of a multilayer network of Hindmarsh–Rose neurons, consisting of two ring layers and a central hub that serves as a mediator. Th...
Preprint
Full-text available
The Master Stability Function is a robust and useful tool for determining the conditions of synchronization stability in a network of coupled systems. While a comprehensive classification exists in the case in which the nodes are chaotic dynamical systems, its application to periodic systems has been less explored. By studying several well-known pe...
Article
This study explores the interaction between two distinct sites, termed the source and the sink, to analyze the possibility of spiral wave formation. To this aim, a grid of memristive FitzHugh–Nagumo elements is designed to simulate biological excitable media, such as the myocardium. The source, characterized by high excitation levels with a gradual...
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Bionic firing circuits are beneficial for bionic hardware applications. It is an attractive but challenging task to design a simple bionic firing circuit to generate spiking and bursting behaviors. To hit this aim, this paper newly proposes a universal configuration framework for mem-element-emulator-based bionic firing circuit, which deploys the c...
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Locally active memristor (LAM) can exhibit memristive and locally active properties, which is a new candidate for generating complicity and assists us for emulating synapse functionalities. This paper uses a controllable ReLU function-based LAM as a memristive synapse to build a FitzHugh–Nagumo (FHN) bi-neuron model. Theoretical analysis shows that...
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Investigating synchronization in networks of oscillators elucidates the intricate interplay between individual dynamics and emergent collective behavior. This study introduces an optimization algorithm to achieve multi-variable coupling for enhancing synchronization in networks of chaotic systems with diffusive couplings. Our results demonstrate th...
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Satellite remote sensing images, obtained through imaging earth from space, are widely used in military and national economic construction. Remote sensing images of sea-related scenes usually contain important military-sensitive information, so there is a risk of information leakage during data transmission. To enhance image security, an optical re...
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This special issue presents scientific findings of the latest advancements in synchronization and other collective behaviors within higher-order networks. While the concept of higher-order interactions was introduced long ago, recent research has witnessed a surge in interest surrounding these networks. These developments underscore the significant...
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Hodgkin–Huxley (HH) circuit can reproduce abundant neuronal firing activities, but it is hard to physically implement the HH circuit. To solve this issue, an implementable HH circuit with two N-type locally active memristors (LAMs) to respectively characterize its Na+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackag...
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In a food chain, the role of intake patterns of predators is very influential on the survival and extinction of the interacting species as well as the entire dynamics of the ecological system. In this study, we investigate the affluent and intricate dynamics of a simple three-species food chain model in a discrete-time framework by analyzing the pa...
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Currently, design and application of discrete memristor aroused much interests. In this paper, digital integrated circuits of discrete memristive systems are designed based on the proposed fixed-point specific processor with acceleration instructions. The discrete memristor and the discrete memristive chaotic map are designed based on the trigonome...
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The resilience of networks against disruptions is a crucial factor in designing and managing reliable communications. When a network is damaged, one of the consequences is the removal of links, which can impact its functionality in various ways, including synchronization. This research examines how the removal of links affects the ability of a netw...
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This paper examines the impact of nonlinear coupling on the synchronization of interconnected oscillators. Various powers of diffusive coupling are explored to introduce nonlinear effects, and the results are contrasted with those of linear diffusive coupling. The study employs three representative chaotic systems, namely, the Lorenz, Rössler, and...
Article
Hardware experiment A B S T R A C T The marvelous Wilson neuron model involves sodium and potassium ion currents, which offer great significance in generating firing activities. This paper firstly deduces that the sodium ion currents can be characterized by a locally active memristor (LAM) and the potassium ion current meets the definition of passi...
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Synchronization holds a significant role, notably within chaotic systems, in various contexts where the coordinated behavior of systems plays a pivotal and indispensable role. Hence, many studies have been dedicated to investigating the underlying mechanism of synchronization of chaotic systems. Networks with time-varying coupling, particularly tho...
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Disorders in the heart's conduction system can lead to the formation of rotating spiral waves, and terminating the re-entrant seeds is crucial to restore cardiac function. Myocyte action potential (AP) morphology is spatially dependent within the myocardium, forming an intrinsic gradient. This study investigates the impact of gradients in AP morpho...
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We study the spatiotemporal dynamics of spiral waves in a lattice of chemically coupled memristive FitzHugh–Nagumo neurons. We also introduce local and global functional inhomogeneities by means of variations in nodal action potentials that are distributed in different ways. We find that, in the presence of globally distributed random inhomogeneity...
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We study the emergence of meandering spiral waves in a multilayer structure where two spirals, originating independently, evolve in space–time. The FitzHugh-Nagumo model, enhanced with electromagnetic induction effects, defines the nodal dynamics. The layers are chemically coupled, and the drift of spirals is influenced by interlayer flux coupling....
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This paper studies the effects of a switching parameter on the dynamics of a multistable laser model. The laser model represents multistability in distinct ranges of parameters. We assume that the system’s parameter switches periodically between different values. Since the system is multistable, the presence of a ghost attractor is also dependent o...
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We study the formation and suppression of spiral wave patterns in a lattice of memristive FitzHugh–Nagumo neurons that are connected through chemical coupling. While earlier works focused predominantly on diffusive coupling, we focus on various parameters that determine the properties of chemical synapses, in particular their firing threshold, the...
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This paper presents a study on a memristive two-neuron-based Hopfield neural network with fractional-order derivatives. The equilibrium points of the system are identified, and their stability is analyzed. Bifurcation diagrams are obtained by varying the magnetic induction strength and the fractional-order derivative, revealing significant changes...
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The significance of discrete neural models lies in their mathematical simplicity and computational ease. This research focuses on enhancing a neural map model by incorporating a hyperbolic tangent-based memristor. The study extensively explores the impact of magnetic induction strength on the model's dynamics, analyzing bifurcation diagrams and the...
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Synchronization is a prominent phenomenon in coupled chaotic systems. The master stability function (MSF) is an approach that offers the prerequisites for the stability of complete synchronization, which is dependent on the coupling configuration. In this paper, some basic chaotic systems with the general form of the Sprott-A, Sprott-B, Sprott-D, S...
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The attempts to evaluate the synchronizability of chaotic systems have shown that additive periodic forcing, as a relevant source of stimuli, significantly impacts multiple forms of synchrony. This paper investigates the complete synchronizability of coupled periodically forced chaotic systems using the master stability function method. Three class...
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Consolidation of new information in memory occurs through the simultaneous occurrence of sharp-wave ripples (SWR) in the hippocampus network, fast–slow spindles in the thalamus network, and up and down oscillations in the cortex network during sleep. Previous studies have investigated the influential and active role of spindles and sharp-wave rippl...
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The Rulkov map model is an efficient model for reproducing different dynamics of the neurons. In specific neurons, the electrical activity is regulated by time-delayed self-feedback called autapse. This paper investigates how the dynamics of the Rulkov model change by considering the autaptic current. Both electrical and chemical autapses are consi...
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This paper investigates the dynamics of a memristive single-neuron model by considering the fractional-order derivatives. The bifurcation diagrams are obtained according to the fractional order and the systems’ parameters. It is shown that the system's dynamics can vary considerably by changing the fractional order, depending on the systems’ parame...
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Achieving a network structure with optimal synchronization is essential in many applications. This paper proposes an optimization algorithm for constructing a network with optimal synchronization. The introduced algorithm is based on the eigenvalues of the connectivity matrix. The performance of the proposed algorithm is compared with random link a...
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In this paper, we propose a time-varying coupling function that results in enhanced synchronization in complex networks of oscillators. The stability of synchronization can be analyzed by applying the master stability approach, which considers the largest Lyapunov exponent of the linearized variational equations as a function of the network eigenva...
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A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in opposite directions. It has been difficult to achieve complete synchrony in coupled identical oscillators with purely repulsive coupling. Here, we introduce a general coupling condition based on the linear matrix of dynamical systems for the emergence of th...
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The dynamical interplay of coupled non-identical chaotic oscillators gives rise to diverse scenarios. The incoherent dynamics of these oscillators lead to the structural impairment of attractors in phase space. This paper investigates the couplings of Lorenz–Rössler, Lorenz–HR, and Rössler–HR to identify the dominant attractor. By dominant attracto...
Preprint
Full-text available
A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in opposite directions. It has been difficult to achieve complete synchrony in coupled identical oscillators with purely repulsive coupling. Here, we introduce a general coupling condition based on the linear matrix of dynamical systems for the emergence of th...
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This paper studies the synchronization behavior of multistable chaotic systems with coexisting symmetric attractors. Specifically, the focus is on the attractive and repulsive couplings of the attractors in single-variable couplings. It is shown that in the self-couplings, both attractors have the same synchronization pattern either in the attracti...
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Studying the stability of synchronization of coupled oscillators is one of the prominent topics in network science. However, in most cases, the computational cost of complex network analysis is challenging because they consist of a large number of nodes. This study includes overcoming this obstacle by presenting a method for reducing the dimension...
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Synchronization of dynamical networks is of great significance in diverse scientific fields. In this paper, the focus is on the networks in which the synchronization stability region is bounded. We represent that blinking of determined links can lead to reaching a synchronous state for specific asynchronous networks. The requisite for the primary n...
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Jerk systems are some of the simplest dynamical systems that can exhibit chaotic dynamics. This paper investigates the synchronization of coupled jerk systems with coupling in single variables. We apply the well-known approach for synchronization analysis, the master stability function, which determines the stability of the synchronization manifold...
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Synchronization is one of the substantial network features, which depends on the eigenvalues of the network connectivity matrix. This paper presents an approach based on an optimization algorithm to keep the synchronization pattern when the number of nodes of the network is decreased. The proposed algorithm refines the initially random weights of t...
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Fractional-order models describing neuronal dynamics often exhibit better compatibility with diverse neuronal firing patterns that can be observed experimentally. Due to the overarching significance of synchronization in neuronal dynamics, we here study synchronization in multiplex neuronal networks that are composed of fractional-order Hindmarsh–R...
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This paper studies the synchronization of a network with linear diffusive coupling, which blinks between the variables periodically. The synchronization of the blinking network in the case of sufficiently fast blinking is analyzed by showing that the stability of the synchronous solution depends only on the averaged coupling and not on the instanta...
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Fractional-order neuronal models that include memory effects can describe the rich dynamics of the firing of the neurons. This paper studies synchronization problems in a multiple network of Caputo–Fabrizio type fractional order neurons in which the orders of the derivatives in the layers are different. It is observed that the intralayer synchroniz...
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Higher-order interactions might play a significant role in the collective dynamics of the brain. With this motivation, we here consider a simplicial complex of neurons, in particular, studying the effects of pairwise and three-body interactions on the emergence of synchronization. We assume pairwise interactions to be mediated through electrical sy...
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A memristor is a vital circuit element that can mimic biological synapses. This paper proposes the memristive version of a recently proposed map neuron model based on the phase space. The dynamic of the memristive map model is investigated by using bifurcation and Lyapunov exponents’ diagrams. The results prove that the memristive map can present d...
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This paper introduces a two-layer network to investigate the effects of cortico-thalamic circuits on the cortexʼs collective behavior. In the brain, different parts of the cortex collaborate to process information. One of the main parts, which is the path of different cortex contacts, is the thalamus whose circuit is referred to as the “vertical” c...
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In this paper, the existence (invariance) and stability (locally and globally) of relay interlayer synchronisation (RIS) are investigated in a chain of multiplex networks. The local dynamics of the nodes in the symmetric positions layers on both sides of the non-identical middlemost layer(s) are identical. The local and global stability conditions...
Article
Autapse is introduced as a self-feedback connection that connects the dendrites and axons of the same neuron. Previous studies have revealed that the existence of the autapse can influence the synchronized behaviours of the coupled neurons. In this paper, the chimera state is studied in the presence of autaptic connections. To this aim, a regular n...
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Map-based neuronal models have received much attention due to their high speed, efficiency, flexibility, and simplicity. Therefore, they are suitable for investigating different dynamical behaviors in neuronal networks, which is one of the recent hottest topics. Recently, the memristive version of the Rulkov model, known as the m-Rulkov model, has...
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The fractional calculus in the neuronal models provides the memory properties. In the fractional-order neuronal model, the dynamics of the neuron depends on the derivative order, which can produce various types of memory-dependent dynamics. In this paper, the behaviors of the coupled fractional-order FitzHugh–Nagumo neurons are investigated. The ef...
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In this research, we investigate the existence of symmetry in the simplest three-dimensional chaotic flows with unique features. We search the simplest Sprott chaotic systems, systems with no equilibrium, stable equilibrium, and systems with the line, curve, and surface equilibrium. We show that some of such systems are symmetric systems. Also, onl...
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Studying the growth of HIV virus in the human body as one of the fastest infectious viruses is very important. Using mathematical modeling can make experimental tests easier to process and evaluate. It can also help to predict the disease progress and provide a better insight into the virus development. In this study, a new nonlinear differential e...