相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article
Computer Science, Information Systems
Gayathri Vivekanandhan et al.
Summary: In this paper, a memristor is added to the two-dimensional neural model Chialvo to consider the effects of electromagnetic induction. The dynamics of the system are analyzed by obtaining bifurcation diagrams and Lyapunov spectra. The study shows that the magnetic strength and injected current are the most effective parameters on the dynamics. The memristive Chialvo can exhibit different neural behaviors and has coexisting attractors, similar to the primary Chialvo model. Furthermore, it is found that electrical coupling is essential for synchronization in the network of memristive Chialvo, while chemical coupling alone does not lead to synchronization.
Article
Engineering, Electrical & Electronic
Shan Wang et al.
Summary: This paper investigates the synchronization of memristive Hindmarsh-Rose neuron maps under different coupling conditions, including electrical synapses, chemical synapses, inner linking functions, and hybrid synapses. The study found that synchronization is achieved when the neurons are coupled through electrical and hybrid synapses, but not through chemical synapses. Moreover, it shows that a slightly lower coupling value is needed for synchronization through inner linking functions compared to electrical synapses.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2023)
Article
Multidisciplinary Sciences
Wonguk Cho et al.
Summary: International trade networks are complex systems consisting of overlapping trade blocs. However, the existing community detection structures in trade networks do not accurately represent the complexity of international trade. To address this, we propose a multiresolution framework that considers trade communities of different sizes and reveals the hierarchical structure of trade networks. Additionally, we introduce a measure called multiresolution membership inconsistency, which shows the correlation between a country's structural inconsistency and its vulnerability to external intervention.
SCIENTIFIC REPORTS
(2023)
Article
Mathematics
Mahtab Mehrabbeik et al.
Summary: In network analysis, pairwise connections often overlook the higher-order connections among network nodes. However, these higher-order connections become more important in neuronal network synchronization, where simplicial complexes can represent non-pairwise connections. Map-based models offer a solution by reducing computational costs and increasing efficiency. This paper investigates the impact of pairwise and non-pairwise neuronal interactions on synchronization using memristive Hindmarsh-Rose neuron maps, showing that neurons can achieve synchrony with weak coupling strengths through chemical pairwise and non-pairwise synapses.
Article
Mathematics, Applied
Irina Bashkirtseva et al.
Summary: This paper considers a stochastic version of the Chialvo model of neural activity, focusing on its mono- and bistability and the phenomenon of oscillatory spiking attractors forming closed invariant curves. The stochastic effects of excitement and bursting generation are studied numerically and analytically. The paper also discusses the noise-induced transition to chaos in a two-parametric zone and the synchronization phenomenon between neurons in a two-neuron network.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Review
Engineering, Multidisciplinary
Jun Ma
Summary: Diffusion of ions inside and outside cells leads to a gradient electromagnetic field that regulates membrane potential. External stimuli inject energy to disrupt the energy balance between the magnetic and electric fields in a cell. Activation of biophysical functions and self-adaptation of biological neurons depend on energy flow, and synapse connection is controlled to achieve energy balance. When more neurons are clustered together, field energy is exchanged and shape formation occurs to achieve local energy balance, preventing bursting synchronization and seizure. This review presents various biophysical neuron models and explains their physical aspects, clarifying the controllability of functional synapses, formation of heterogeneity, and defects to understand synchronization stability and cooperation between functional regions. These models and findings provide new insights into nonlinear physics and computational neuroscience.
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A
(2023)
Article
Engineering, Mechanical
Ping Zhou et al.
Summary: This paper investigates how energy diversity between neurons affects the creation and enhancement of synapses. The study finds that adjusting the intensity along the coupling channel can achieve energy balance and form synaptic connections in neural networks.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Kexin Li et al.
Summary: This article introduces a discrete memristive Rulkov (m-Rulkov) neuron model that can simulate magnetic induction effects and better characterize the actual firing activities in biological neurons.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Sishu Shankar Muni et al.
Summary: This study investigates the dynamical effects of electromagnetic flux on the Chialvo neuron model, revealing rich dynamical behaviors and various routes to chaos. The study also explores the dynamics of a network of Chialvo neurons, uncovering different states and patterns.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2022)
Article
Physics, Multidisciplinary
Chenxi Shang et al.
Summary: This paper discusses the properties of individual Chialvo neurons in discrete memristor neural networks. By changing the coupling gain, the synchronization of two neurons with different firing modes through discrete memristors is studied. Simulation results show that discrete memristors effectively synchronize neurons and neural networks.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2022)
Article
Physics, Multidisciplinary
Sheida Ansarinasab et al.
Summary: This study investigates the synchronization stability and robustness of functional brain networks in boys with ADHD while observing facial emotions. The results suggest that there is an alteration in the phase synchronization stability in the brain networks of the ADHD group, which may be associated with a deficit in emotional processing.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Mathematics, Interdisciplinary Applications
Kexin Li et al.
Summary: In this study, a discrete bi-neuron model is used to examine the effects of memory resistance on neuronal coupling, synchronization behavior, and dynamical behavior. The results demonstrate the coexistence of multiple firing patterns and provide evidence for the realization of synchronous control of coupled neurons.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Karthikeyan Rajagopal et al.
Summary: Master stability functions are significant tools for identifying the synchronizability of nonlinear dynamical systems. By studying the MSF in a network of coupled oscillators, synchronization can be achieved, with magnetic flux coupling increasing synchronization of coupled neurons.
Article
Engineering, Mechanical
Kesheng Xu et al.
Summary: The coexistence of electrical and chemical synaptic communication among excitatory cells has been confirmed, but the theoretical understanding of hybrid synaptic connections in various dynamical states of neural networks is not fully studied. A neural network model including electrical and chemical synaptic connections was used to investigate synchronization and firing patterns among excitatory cells, revealing tendencies towards synchronization and the ability to cause various firing patterns by slightly changing the synaptic weights. This study lays a foundation for understanding the computational significance of mixed synapse in neural functions.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Multidisciplinary
Bao Han et al.
Summary: The phenomenon of bursting in neuronal activation patterns is common and diverse, indicating fast action voltage spiking periods followed by resting periods. The time between successive action voltage spikes, known as the interspike interval (ISI), is a key indicator used to characterize bursting. A three-dimensional memristive Hindmarsh-Rose (mHR) neuron model has been constructed to generate hidden chaotic bursting, but the properties of the discrete mHR neuron model have not been studied. This study presents a discrete mHR neuron model and explores different hidden chaotic bursting sequences under four typical parameter sets. Experimental results on ISI-encoded chaotic sequences show complex chaos properties compared to the original sequences. The ISI-encoded chaotic sequences are then applied to image encryption, demonstrating excellent robustness against various possible attacks based on experimental results and security analyses.
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
(2021)
Article
Mathematics, Interdisciplinary Applications
Karthikeyan Rajagopal et al.
Summary: The paper presents a fractional-order 1D neuron map and analyzes its dynamical characteristics through bifurcation diagrams and Lyapunov exponents' diagram. In a 2D lattice, the emergence of spiral wave as a significant collective behavior is studied, along with the examination of the effects of changing stimuli and parameters in the network. Additionally, an effective method of suppressing the spiral wave through impulse triggering has been investigated.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2021)
Article
Engineering, Mechanical
Han Bao et al.
NONLINEAR DYNAMICS
(2020)
Article
Engineering, Mechanical
Mousumi Roy et al.
NONLINEAR DYNAMICS
(2020)
Article
Mathematics, Applied
Nikita Frolov et al.
Review
Biology
Soumen Majhi et al.
PHYSICS OF LIFE REVIEWS
(2019)
Article
Physics, Multidisciplinary
Sayantan Nag Chowdhury et al.
NEW JOURNAL OF PHYSICS
(2019)
Article
Physics, Fluids & Plasmas
A. Andreev et al.
Article
Mathematics, Applied
Teresa Chouzouris et al.
Article
Engineering, Mechanical
Sarbendu Rakshit et al.
NONLINEAR DYNAMICS
(2018)
Review
Engineering, Mechanical
Jun Ma et al.
NONLINEAR DYNAMICS
(2017)
Article
Biochemical Research Methods
Muhammet Uzuntarla et al.
PLOS COMPUTATIONAL BIOLOGY
(2017)
Article
Mathematics, Applied
Muhammet Uzuntarla et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2015)
Article
Physics, Multidisciplinary
Xiaobing Feng et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2014)
Editorial Material
Mathematics, Applied
Igor Belykh et al.
PHYSICA D-NONLINEAR PHENOMENA
(2014)
Article
Physics, Multidisciplinary
Giuliano Andrea Pagani et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2013)
Article
Physics, Fluids & Plasmas
Karen Blaha et al.
Article
Physics, Multidisciplinary
Sang Hoon Lee et al.
NEW JOURNAL OF PHYSICS
(2012)
Review
Physics, Multidisciplinary
B. Ibarz et al.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2011)
Editorial Material
Multidisciplinary Sciences
Frank Schweitzer et al.
Article
Business
Zsolt Katona et al.
Review
Neurosciences
Peter J. Uhhaas et al.
Review
Physics, Multidisciplinary
S. Boccaletti et al.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2006)
Article
Physics, Multidisciplinary
BJ Kim et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2006)
Article
Physics, Multidisciplinary
JH Lü et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2004)
Article
Physics, Multidisciplinary
M Dhamala et al.
PHYSICAL REVIEW LETTERS
(2004)
Review
Physics, Multidisciplinary
S Boccaletti et al.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2002)
Article
Physics, Multidisciplinary
I Kanter et al.
EUROPHYSICS LETTERS
(2002)
Review
Multidisciplinary Sciences
SH Strogatz