Stability of the synchronized network of Hindmarsh-Rose neuronal models with nearest and global couplings

DOI10.1016/j.cnsns.2014.08.003zbMath1329.37083OpenAlexW1981676674MaRDI QIDQ907628

S. R. Dtchetgnia Djeundam, Giovanni Filatrella, Rene Yamapi, Timoléon Créprin Kofané

Publication date: 26 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.08.003

zbMATH Keywords

networksynchronizationHindmarsh-Rose neuronmaster stability function

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (9)

Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation ⋮ Generalized synchronization of the extended Hindmarsh-Rose neuronal model with fractional order derivative ⋮ Conditional Lyapunov exponents and transfer entropy in coupled bursting neurons under excitation and coupling mismatch ⋮ Synchronization of ``Light-sensitive Hindmarsh-Rose neurons ⋮ Bifurcation analysis of a two-dimensional discrete Hindmarsh-Rose type model ⋮ Dynamics of Disordered Network of Coupled Hindmarsh–Rose Neuronal Models ⋮ Stability and Hopf Bifurcation Analysis in Hindmarsh–Rose Neuron Model with Multiple Time Delays ⋮ Impact of network structure on synchronization of Hindmarsh-Rose neurons coupled in structured network

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of the synchronization manifold in nearest neighbor nonidentical van der Pol-like oscillators
• Chemical oscillations, waves, and turbulence
• Maximum performance at minimum cost in network synchronization
• Chaos in a three-variable model of an excitable cell
• Low-dimensional dynamics in sensory biology. II: Facial cold receptors of the rat
• The transition from bursting to continuous spiking in excitable membrane models
• Dynamics of autonomous stochastic resonance in neural period adding bifurcation scenarios
• The synchronization of chaotic systems
• Synchronization of discontinuous neural networks with delays via adaptive control
• Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches
• Complex networks: structure and dynamics
• Synchronization of two Hindmarsh-Rose neurons with unidirectional coupling
• Decay characterization of solutions to Navier-Stokes-Voigt equations in terms of the initial datum
• Multirhythmic bursting
• MODELING THE DYNAMICS OF COMPLEX INTERACTION SYSTEMS: FROM MORPHOGENESIS TO CONTROL
• Modeling of spiking-bursting neural behavior using two-dimensional map
• Deterministic and stochastic bifurcations in the Hindmarsh-Rose neuronal model
• Effects of Coupling Distance on Synchronization and Coherence in Chaotic Neural Networks
• Synchronization in uncertain complex networks
• Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback
• Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
• Stochastic Synchronization of Complex Networks With Nonidentical Nodes Via Hybrid Adaptive and Impulsive Control
• Synchronizing Hindmarsh–Rose neurons over Newman–Watts networks
• Collective behavior in a chain of van der Pol oscillators with power-law coupling
• Lag synchronization in time-delayed systems
• Generalized stability law for Josephson series arrays
• The genesis of period-adding bursting without bursting-chaos in the Chay model

This page was built for publication: Stability of the synchronized network of Hindmarsh-Rose neuronal models with nearest and global couplings