Effects of time delays on stability and Hopf bifurcation in a fractional ring-structured network with arbitrary neurons
From MaRDI portal
Publication:2205741
DOI10.1016/j.cnsns.2017.09.005OpenAlexW2751151641MaRDI QIDQ2205741
Tasawar Hayat, Chengdai Huang, Min Xiao, Ahmed Alsaedi, Cao, Jinde
Publication date: 21 October 2020
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.2017.09.005
Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx) Dynamical systems with hyperbolic behavior (37Dxx) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)
Related Items
Stability and Hopf bifurcation analysis of an \((n+m)\)-neuron double-ring neural network model with multiple time delays ⋮ Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks ⋮ Impact of wind in the dynamics of prey-predator interactions ⋮ Impact of leakage delay on bifurcation in high-order fractional BAM neural networks ⋮ Mathematical modeling of the immune-chemotherapeutic treatment of breast cancer under some control parameters ⋮ Chaotic dynamics of the fractional order Schnakenberg model and its control ⋮ Turing instability and pattern formation of a fractional Hopfield reaction–diffusion neural network with transmission delay ⋮ Stability and Hopf bifurcation of fractional complex-valued BAM neural networks with multiple time delays ⋮ Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays ⋮ Effect of two forms of feedback on the performance of the rate control protocol (RCP) ⋮ Hopf bifurcation of a fractional-order octonion-valued neural networks with time delays ⋮ Fixed-time control of static impulsive neural networks with infinite distributed delay and uncertainty ⋮ On initial conditions for fractional delay differential equations ⋮ Periodic solution and control optimization of a prey-predator model with two types of harvesting ⋮ Bifurcations and chaos in a discrete SI epidemic model with fractional order ⋮ Dynamical behaviors of a food-chain model with stage structure and time delays ⋮ Bifurcation analysis in a diffusive predator-prey system with Michaelis-Menten-type predator harvesting ⋮ Control optimization and homoclinic bifurcation of a prey-predator model with ratio-dependent ⋮ Hopf bifurcation of the fractional-order Hindmarsh-Rose neuron model with time-delay ⋮ Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays ⋮ Disparate delays-induced bifurcations in a fractional-order neural network ⋮ Further exploration on bifurcation of fractional-order six-neuron bi-directional associative memory neural networks with multi-delays ⋮ Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: the case of Hopf bifurcation ⋮ Bifurcations in an internet congestion control system with distributed delay ⋮ A novel strategy of bifurcation control for a delayed fractional predator-prey model ⋮ Dynamic stability analysis of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms ⋮ Effect of Leakage Delay on Hopf Bifurcation in a Fractional BAM Neural Network ⋮ Nonlinear dynamical analysis and control strategies of a network-based SIS epidemic model with time delay ⋮ FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law ⋮ Global dynamics of a fractional-order SIR epidemic model with memory ⋮ Bifurcation control of a delayed fractional mosaic disease model for \textit{Jatropha curcas} with farming awareness ⋮ Stability analysis of fraction-order Hopfield neuron network and noise-induced coherence resonance ⋮ Bifurcation control for a fractional-order competition model of internet with delays ⋮ A delayed fractional-order tumor virotherapy model: stability and Hopf bifurcation
Cites Work
- Unnamed Item
- Unnamed Item
- Fractional neural network approximation
- Stability analysis of linear fractional differential system with multiple time delays
- Synchronization of memristor-based recurrent neural networks with two delay components based on second-order reciprocally convex approach
- Stability and Hopf bifurcation analysis on a ring of four neurons with delays
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Synchronization of fractional order complex dynamical networks
- Controlling bifurcation in a delayed fractional predator-prey system with incommensurate orders
- Hopf bifurcation and chaos in fractional-order modified hybrid optical system
- Stability analysis of fractional-order Hopfield neural networks with time delays
- Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system
- Delay-induced bifurcation in a tri-neuron fractional neural network
- DELAY-INDUCED DYNAMICAL TRANSITIONS IN SINGLE HINDMARSH–ROSE SYSTEM
- Stability and Bifurcation of Ring-Structured Genetic Regulatory Networks With Time Delays
- Bifurcation Analysis of Fractional Order Single Cell with Delay
- Neurons with graded response have collective computational properties like those of two-state neurons.