Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function
type: Item
instance of: scholarly article
title: Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function
zbMATH Open document ID: 1470.92056
author: Z. Song
author: Jian Xu
author: Bin Zhen
published in: Mathematical Biosciences and Engineering
publication date: 2021-08-13T00:00:00Z
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37G35
zbMATH DE Number: 7381664
zbMATH Keywords: inertial neuron system
zbMATH Keywords: nonmonotonic activation function
zbMATH Keywords: multistability
zbMATH Keywords: attractor merging crisis
zbMATH Keywords: period-doubling bifurcation
zbMATH Keywords: transient chaos
MaRDI profile type: Publication
full work available at URL: mbe.2019320
OpenAlex ID: W2957232974
Wikidata QID: Q91167770
cites work: Control of multistability
cites work: Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation
cites work: Codimension-two bursting analysis in the delayed neural system with external stimulations
cites work: Mechanism, dynamics, and biological existence of multistability in a large class of bursting neurons
cites work: Dynamics of globally delay-coupled neurons displaying subthreshold oscillations
cites work: Excitable and oscillatory dynamics in an in-homogeneous chain of excitable systems with delayed coupling
cites work: Multiple pitchfork bifurcations and multiperiodicity coexistences in a delay-coupled neural oscillator system with inhibitory-to-inhibitory connection
cites work: Bifurcation, synchronization, and multistability of two interacting networks with multiple time delays
cites work: Stability switches and bifurcation in a system of four coupled neural networks with multiple time delays
cites work: Complex dynamics in simple Hopfield neural networks
cites work: CHAOS, BIFURCATION AND ROBUSTNESS OF A CLASS OF HOPFIELD NEURAL NETWORKS
cites work: Coexisting chaotic attractors in a single neuron model with adapting feedback synapse
cites work: Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
cites work: Coexistence of Multiple Attractors and Crisis Route to Chaos in a Novel Chaotic Jerk Circuit
cites work: Coexistence of multiple attractors and crisis route to chaos in autonomous third order Duffing-Holmes type chaotic oscillators
cites work: Periodicity, chaos, and multiple attractors in a memristor-based Shinriki's circuit
cites work: COEXISTENCE OF MULTISTABILITY AND CHAOS IN A RING OF DISCRETE NEURAL NETWORK WITH DELAYS
cites work: Stability and chaos in an inertial two-neuron system
cites work: Stability of bifurcating periodic solutions for a single delayed inertial neuron model under periodic excitation
cites work: Dynamics of an inertial two-neuron system with time delay
cites work: Multitype Activity Coexistence in an Inertial Two-Neuron System with Multiple Delays
cites work: Two bifurcation routes to multiple chaotic coexistence in an inertial two-neural system with time delay
DOI: 10.3934/MBE.2019320
Recommended article: Co-existence of chaos and stable periodic orbits in a simple discrete neural network
Recommended article: Transversal homoclinic orbits in a transiently chaotic neural network
Recommended article: Attractive Periodic Orbits in Nonlinear Discrete-time Neural Networks with Delayed Feedback
Recommended article: PERIODIC AND CHAOTIC ORBITS OF A NEURON MODEL
Recommended article: Multiperiodicity and exponential attractivity of neural networks with mixed delays
Recommended article: Q4430769
Recommended article: Coexisting chaotic attractors in a single neuron model with adapting feedback synapse
Recommended article: Q4265639
Recommended article: A rigorous verification of chaos in an inertial two-neuron system
Recommended article: Multiple bifurcations and periodic coexistence in a delayed Hopfield two-neural system with a monotonic activation function
description: scientific article; zbMATH DE number 7381664