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Turing instability and pattern formation of neural networks with reaction–diffusion terms
In this paper, a model for a network of neurons with reaction–diffusion is investigated. By analyzing the linear stability of the system, Hopf bifurcation and Turing unstable conditions are obtained.Expand
Bifurcation and optimal harvesting of a diffusive predator-prey system with delays and interval biological parameters.
Numerical evidence shows that the presence of harvesting can impact the existence of species and over harvesting can result in the extinction of the prey or the predator which is in line with reality. Expand
Hopf Bifurcation and Chaos of a Delayed Finance System
Numerical simulation results show that delay can lead a stable system into a chaotic state. Expand
Anti-synchronization of Two Different Hyperchaotic Systems via Active and Adaptive Control
This paper presents anti-synchronization of two different hyper-chaotic systems us- ing active and adaptive control method. The proposed technique is applied to achieve chaos anti-synchronization forExpand
Stability and bifurcation analysis of reaction-diffusion neural networks with delays
Stability and Hopf bifurcation of reaction–diffusion neural networks with delays is considered, where the sum of the delays can be regarded as a bIfurcation parameter. Expand
Hopf bifurcation and spatial patterns of a delayed biological economic system with diffusion
Delays can cause system into chaos and can trigger the emergence of irregular spatial patterns via a Hopf bifurcation, and diffusion and economic profit can also affect the dynamic behavior of the system. Expand
Bifurcations and Pattern Formation in a Predator-Prey Model
In this paper, we investigate the spatiotemporal dynamics of a Leslie–Gower predator–prey model incorporating a prey refuge subject to the Neumann boundary conditions. We mainly consider Hopf bifur...
Dynamic analysis of a fractional order delayed predator–prey system with harvesting
The numerical results show that fractional order can affect not only the stability of the system without harvesting terms, but also the switching times from stability to instability and to stability. Expand
Hopf bifurcation and harvesting control of a bioeconomic plankton model with delay and diffusion terms
In this paper, we study the dynamics of a bioeconomic plankton model with delay and diffusion terms, in which phytoplankton is assumed to undergo exploitation. Some sufficient conditions ensuring theExpand
Analysis of a new three-dimensional chaotic system
In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear terms in the governed equations. Basic dynamicExpand