Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons

DOI10.1016/S0167-2789(01)00290-1zbMath1026.92008WikidataQ56784435 ScholiaQ56784435MaRDI QIDQ5938561

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Publication date: 22 July 2001

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

response curvesphase distributioncoupled Pikovsky circuit model

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Firing patterns transition and desynchronization induced by time delay in neural networks ⋮ On the analytical solutions of the Hindmarsh-Rose neuronal model ⋮ Inhomogeneous stationary and oscillatory regimes in coupled chaotic oscillators ⋮ COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL ⋮ Global Stability of the Sync with Amplitude Effects ⋮ No-chattering sliding mode control chaos in Hindmarsh-Rose neurons with uncertain parameters ⋮ Unstable discrete modes in Hindmarsh-Rose neural networks under magnetic flow effect ⋮ Observation of a continuous interior crisis in the Hindmarsh–Rose neuron model ⋮ Intermittent and sustained periodic windows in networked chaotic Rössler oscillators

Cites Work

• Crisis-induced chaos in the Rose-Hindmarsh model for neuronal activity
• Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
• Phase synchronization in two coupled chaotic neurons
• Control of chaotic solutions of the Hindmarsh-Rose equations
• Synchronization and complex dynamics in pulse-coupled circuit models of neurons
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Taming chaotic dynamics with weak periodic perturbations

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