Dynamics of a neuron model in different two-dimensional parameter-spaces

DOI10.1016/j.physleta.2011.02.037zbMath1242.92012OpenAlexW1968537504MaRDI QIDQ432928

Paulo C. Rech

Publication date: 4 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.02.037

zbMATH Keywords

Lyapunov exponentsperiod-addingHindmarsh-Rose neuron model

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction ⋮ Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ Spiral periodic structures in a parameter plane of an ecological model ⋮ Mode locking and quasiperiodicity in a discrete-time Chialvo neuron model ⋮ Self-organizations with fast-slow time scale in a memristor-based Shinriki's circuit ⋮ Bifurcation analysis of a two-dimensional discrete Hindmarsh-Rose type model ⋮ Organization of the Dynamics in a Parameter Plane of a Tumor Growth Mathematical Model ⋮ Nonlinear oscillations in a muscle pacemaker cell model ⋮ Fractal structures in centrifugal flywheel governor system ⋮ Bifurcation scenarios of neural firing patterns across two separated chaotic regions as indicated by theoretical and biological experimental models ⋮ Nonlinear dynamics of the membrane potential of a bursting pacemaker cell ⋮ Pacemaker dynamics in the full Morris-Lecar model ⋮ Lyapunov exponent diagrams of a 4-dimensional Chua system

Cites Work

• Determining Lyapunov exponents from a time series
• Chaotic synchronization and control in nonlinear-coupled Hindmarsh--Rose neural systems
• Modeling Single-Neuron Dynamics and Computations: A Balance of Detail and Abstraction
• COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL