Stability, bifurcation, and synchronization of delay-coupled ring neural networks
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Publication:332824
DOI10.1007/s11071-015-2550-yzbMath1354.93133OpenAlexW2283933126MaRDI QIDQ332824
Publication date: 9 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2550-y
Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic stability in control theory (93D20) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Stability switches and multistability coexistence in a delay-coupled neural oscillators system
- Stability switches, bifurcation, and multi-stability of coupled networks with time delays
- Stability and Hopf bifurcation analysis of a pair of three-neuron loops with time delays
- Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators
- Multiple periodic solutions in a delay-coupled system of neural oscillators
- Stability switches and Hopf bifurcations in a pair of identical tri-neuron network loops
- Induction of Hopf bifurcation and oscillation death by delays in coupled networks
- Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks
- Network synchronization using invariant-manifold-based diffusive dynamic couplings with time-delay
- Symmetric bifurcation analysis of synchronous states of time-delayed coupled phase-locked loop oscillators
- Linear stability and Hopf bifurcation in a delayed two-coupled oscillator with excitatory-to-inhibitory connection
- Weakly connected neural networks
- Hopf bifurcating periodic orbits in a ring of neurons with delays
- Synchronization of delayed coupled neurons in presence of inhomogeneity
- Excitable and oscillatory dynamics in an in-homogeneous chain of excitable systems with delayed coupling
- The dynamics of two coupled van der Pol oscillators with delay coupling
- Synchronization of two coupled multimode oscillators with time-delayed feedback
- Double Hopf bifurcation of coupled dissipative stuart-Landau oscillators with delay
- Relation between delayed feedback and delay-coupled systems and its application to chaotic lasers
- Phase locking of two limit cycle oscillators with delay coupling
- Dynamics, control and information in delay-coupled systems: an overview
- Traffic jams: dynamics and control
- Synchronization of Mechanical Systems
- Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling
- Delayed Coupling Between Two Neural Network Loops
- Phase-locked regimes in delay-coupled oscillator networks
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Stability and Stabilization of Systems with Time Delay
- Complicated dynamics of a ring neural network with time delays
- Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
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