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The Effect of Symmetry Breaking in an Inertial Neural System with a Non-Monotonic Activation Function: Theoretical Study, Asymmetric Coexistence and Experimental Investigation

https://doi.org/10.2139/ssrn.3983130
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20/20 checkable references clean · checked 2026-07-22

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

11 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 20 checked references that resolve
resolves10.1007/s11431-019-1547-5
Phase coupling synchronization of FHN neurons connected by a Josephson junction
resolves10.1007/s11571-020-09606-5
Complex bifurcation analysis and synchronization optimal control for Hindmarsh–Rose neuron model under magnetic flow effect
resolves10.1007/s11571-020-09570-0
Various firing activities and finite-time synchronization of an improved Hindmarsh–Rose neuron model under electric field effect
resolves10.1007/s42452-019-1702-y
Hopf bifurcation, offset boosting and remerging Feigenbaum trees in an autonomous chaotic system with exponential nonlinearity
resolves10.3934/mbe.2019320
Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function
resolves10.1007/s11063-020-10264-1
Remerging Feigenbaum Trees, Coexisting Behaviors and Bursting Oscillations in a Novel 3D Generalized Hopfield Neural Network
resolves10.1007/s00521-020-05451-z
Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption
resolves10.1142/S021812742050159X
Effects of Low and High Neuron Activation Gradients on the Dynamics of a Simple 3D Hopfield Neural Network
resolves10.1007/s11071-019-05408-5
Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation
resolves10.1007/s00422-013-0580-4
Bifurcation analysis of a Morris–Lecar neuron model
resolves10.1007/s11071-018-4646-7
Model electrical activity of neuron under electric field
resolves10.1016/j.chaos.2016.02.001
Bifurcations and multistability in the extended Hindmarsh–Rose neuronal oscillator
resolves10.1142/S0218127415300402
Multitype Activity Coexistence in an Inertial Two-Neuron System with Multiple Delays
resolves10.1140/epjst/e2020-900159-8
Zero-Hopf bifurcation analysis in an inertial two-neural system with delayed Crespi function
resolves10.1142/S1793524519500165
Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method
resolves10.1007/s11063-016-9540-z
Anti-periodic Solutions of Inertial Neural Networks with Time Delays
resolves10.1007/s11071-014-1447-5
Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models
resolves10.1016/j.chaos.2018.05.017
A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors
resolves10.1007/s10470-020-01664-3
A broken symmetry approach for the modeling and analysis of antiparallel diodes-based chaotic circuits: a case study
resolves10.1140/epjst/e2019-900032-5
Complex behaviors in a new 4D memristive hyperchaotic system without equilibrium and its microcontroller-based implementation
The 11 references without a DOI — listed, not checked
no DOI — not checkedDynamical analysis in dual-memristor-based FitzHugh-Nagumo circuit and its coupling finite-time synchronization
no DOI — not checkedMultistability and circuit implementation of tabu learning two-neuron model: application to secure biomedical images in IoMT
no DOI — not checkedNonlinear dynamics of three-neurons-based Hopfield neural networks (HNNs): Remerging Feigenbaum trees, coexisting bifurcations and multiple attractors
no DOI — not checkedComplex dynamics of a 4D Hopfield neural networks (HNNs) with a nonlinear synaptic weight: Coexistence of multiple attractors and remerging Feigenbaum trees
no DOI — not checkedNew fixed-time stability lemmas and applications to the discontinuous fuzzy inertial neural networks
no DOI — not checkedBifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit
no DOI — not checkedMemristor synapse-based Morris-Lecar model: Bifurcation analyses and FPGA-based validations for periodic and chaotic bursting/spiking firings
no DOI — not checkedref25
no DOI — not checkedDynamics, control and symmetry breaking aspects of an infinite-equilibrium chaotic system
no DOI — not checkedref29
no DOI — not checkedref31
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