Analytical predictions of stable and unstable firings to chaos in a Hindmarsh-Rose neuron system

DOI10.1063/5.0118046MaRDI QIDQ6570795

Ying Wu, Yeyin Xu

Publication date: 10 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• On the analytical solutions of the Hindmarsh-Rose neuronal model
• Bifurcations and multistability in the extended Hindmarsh-Rose neuronal oscillator
• Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
• Phase synchronization between two neurons induced by coupling of electromagnetic field
• Chemical and electrical synapse-modulated dynamical properties of coupled neurons under magnetic flow
• Discretization and implicit mapping dynamics
• Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons
• COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL
• Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
• THE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTING
• Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
• Observation of a continuous interior crisis in the Hindmarsh–Rose neuron model

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