Noise-induced stabilization of the FitzHugh-Nagumo neuron dynamics: multistability and transient chaos

DOI10.1063/5.0086994MaRDI QIDQ6567572

M. W. Beims, C. Manchein, Rafael M. da Silva, Luana Santana

Publication date: 5 July 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34Cxx) Physiological, cellular and medical topics (92Cxx) Mathematical biology in general (92Bxx)

Cites Work

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• Suppression of noise in Fitzhugh-Nagumo model driven by a strong periodic signal
• Determining Lyapunov exponents from a time series
• Multistability and organization of periodicity in a van der Pol-Duffing oscillator
• Asymptotic and exact solutions of the Fitzhugh-Nagumo model
• Dynamical complexity of FitzHugh-Nagumo neuron model driven by Lévy noise and Gaussian white noise
• Detection of sub-threshold periodic signal by multiplicative and additive cross-correlated sine-Wiener noises in the Fitzhugh-Nagumo neuron
• Phase synchronization and mode transition induced by multiple time delays and noises in coupled FitzHugh-Nagumo model
• Dynamical behavior of simplified Fitzhugh-Nagumo neural system driven by Lévy noise and Gaussian white noise
• Transient chaos. Complex dynamics in finite-time scales
• Scaling of the Arnold tongues
• RIDDLED BASINS
• Coherence Resonance in a Noise-Driven Excitable System
• Accumulation boundaries: codimension-two accumulation of accumulations in phase diagrams of semiconductor lasers, electric circuits, atmospheric and chemical oscillators
• The role of individual neuron ion conductances in the synchronization processes of neuron networks
• Numerical bifurcation analysis of two coupled Fitzhugh-Nagumo oscillators

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