Synchronization of a set of coupled chaotic FitzHugh-Nagumo and Hindmarsh-Rose neurons with external electrical stimulation

DOI10.1007/s11071-016-2776-3zbMath1349.34202OpenAlexW2340098336MaRDI QIDQ345557

Himesh Handa, B. B. Sharma

Publication date: 2 December 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2776-3

zbMATH Keywords

synchronizationexponential convergencecoupling strengthchaotic systempartial contraction

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (2)

A class of initials-dependent dynamical systems ⋮ Hidden extreme multistability and dimensionality reduction analysis for an improved non-autonomous memristive Fitzhugh-Nagumo circuit

Cites Work

• Unnamed Item
• Robust synchronization control of coupled chaotic neurons under external electrical stimulation
• Parametric convergence and control of chaotic system using adaptive feedback linearization
• Periodic entrainment of chaotic logistic map dynamics
• Nonlinear control systems.
• Controlling and synchronizing chaotic Genesio system via nonlinear feedback control.
• Feedback and adaptive control for the synchronization of Chen system via a single variable
• Phase synchronization in two coupled chaotic neurons
• Nonlinear cable models for cells exposed to electric fields. I: General theory and space-clamped solutions
• Chaos synchronization between linearly coupled chaotic systems.
• Chaotic synchronization of neurons coupled with gap junction under external electrical stimulation
• Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems
• Stability criterion for synchronization of linearly coupled unified chaotic systems
• Convergent dynamics of two cells coupled by a nonlinear gap junction.
• Local lateral inhibition: A key to spike synchronization?
• Self-synchronization of coupled chaotic FitzHugh-Nagumo systems with unreliable communication links
• Synchronization of coupled different chaotic Fitzhugh-Nagumo neurons with unknown parameters under communication-direction-dependent coupling
• Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
• Adaptive control for anti-synchronization of Chua's chaotic system
• Controlling chaos and synchronization for new chaotic system using linear feedback control
• Synchronization of chaotic systems based on SDRE method
• Synchronization of Pulse-Coupled Biological Oscillators
• Nonlinear performance of a PI controlled missile: an explanation
• Controlling chaos
• An observer-based approach for chaotic synchronization with applications to secure communications
• On robust chaos suppression in a class of nondriven oscillators: application to the Chua's circuit
• Taming chaos. II. Control
• Synchronization in chaotic systems
• A Lyapunov approach to incremental stability properties
• Generalized state-space observers for chaotic synchronization and secure communication

This page was built for publication: Synchronization of a set of coupled chaotic FitzHugh-Nagumo and Hindmarsh-Rose neurons with external electrical stimulation