Dynamical Effects of Electromagnetic Flux on Chialvo Neuron Map: Nodal and Network Behaviors

DOI10.1142/S0218127422300208zbMath1497.92041arXiv2201.03219MaRDI QIDQ5094756

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Publication date: 4 August 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.03219

zbMATH Keywords

traveling waveroute to chaosmultistabilitychimera stateantimonotonicityclosed invariant curveChialvo neuron mapfingered attractorring-star network

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Neural biology (92C20) Biophysics (92C05) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (3)

Discrete geometric singular perturbation theory ⋮ The influence of synaptic pathways on the synchronization patterns of regularly structured mChialvo map network ⋮ An absorbing set for the Chialvo map

Uses Software

• MatContM

Cites Work

• Unnamed Item
• Collective dynamics and energy aspects of star-coupled Hindmarsh-Rose neuron model with electrical, chemical and field couplings
• Numerical bifurcation analysis of pacemaker dynamics in a model of smooth muscle cells
• Bifurcation and chaos in neural excitable system
• Codimension-two bifurcation analysis on firing activities in Chay neuron model
• Generic excitable dynamics on a two-dimensional map
• Phase turbulence in the nonlocally coupled phase equation
• A route to computational chaos revisited: Noninvertibility and the breakup of an invariant circle
• Bifurcation scenarios of neural firing patterns across two separated chaotic regions as indicated by theoretical and biological experimental models
• Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators
• Mode locking and quasiperiodicity in a discrete-time Chialvo neuron model
• Local stability in 3D discrete dynamical systems: application to a Ricker competition model
• Oscillation and Doubling of Torus
• HODGKIN–HUXLEY AXON IS MADE OF MEMRISTORS
• Chimera States in Networks of Nonlocally Coupled Hindmarsh–Rose Neuron Models
• PLANE FOLIATION OF TWO-DIMENSIONAL NONINVERTIBLE MAPS
• Iteration of Runge‐Kutta Methods with Block Triangular Jacobians
• EXPERIMENTAL OBSERVATION OF ANTIMONOTONICITY IN CHUA'S CIRCUIT
• The mathematics behind chimera states
• Numerical Bifurcation Analysis of Maps
• Repulsive inter-layer coupling induces anti-phase synchronization
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Synchronization patterns in LIF neuron networks: merging nonlocal and diagonal connectivity

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