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Frequency domain analysis for bifurcation in a simplified tri-neuron BAM network model with two delays
In this paper, a class of simplified tri-neuron BAM network model with two delays is considered and the existence of bifurcation parameter point is determined by applying the frequency domain approach and analyzing the associated characteristic equation.
Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay
Applying inequality techniques and Lyapunov method, sufficient conditions which ensure the existence and exponential stability of anti-periodic solutions of BAM neural networks with inertial term and delay are presented.
Existence and Exponential Stability of Anti-periodic Solutions for a High-Order Delayed Cohen–Grossberg Neural Networks with Impulsive Effects
By using differential inequality techniques, some very verifiable criteria on the existence and exponential stability of anti-periodic solutions for the model are obtained and are new and complementary to previously known results.
Stability and bifurcation analysis of a six-neuron BAM neural network model with discrete delays
In this paper, a six-neuron BAM neural network model with discrete delays is considered, the linear stability of the model is investigated, and Hopf bifurcation is demonstrated.
Stability and bifurcation analysis of a delayed predator-prey model of prey dispersal in two-patch environments
A class of delayed predator–prey model of prey dispersal in two-patch environments is considered, its linear stability is investigated, and Hopf bifurcation is demonstrated.
Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms
A series of sufficient conditions for the existence and exponential stability of anti-periodic solutions to the neutral BAM neural networks with time-varying delays in the leakage terms are presented.
Dynamics in Four-Neuron Bidirectional Associative Memory Networks with Inertia and Multiple Delays
Four-neuron BAM networks with inertia and multiple delays are considered and it is found that Hopf bifurcation occurs when the sum of time delays passes through a sequence of critical values.
Dynamics of a competitive Lotka-Volterra system with three delays
- Maoxin Liao, Xianhua Tang, Changjin Xu
- Mathematics, Computer ScienceAppl. Math. Comput.
- 15 August 2011
It is shown that in the competitive Lotka–Volterra system with three delays, Hopf bifurcation at the positive equilibrium can occur as τ crosses some critical values.
Dynamical Analysis in a Delayed Predator-Prey Model with Two Delays
A class of Beddington-DeAngelis functional response predator-prey model is considered. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the…
Influence of Time Delay on Bifurcation in Fractional Order BAM Neural Networks With Four Delays
It is shown that the delay has an important influence on the stability and Hopf bifurcation of involved networks and play a key role in optimizing networks and improving human life.