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Recently, the nonlinear dynamics and chaos phenomenon of many neuron models have been studied. This paper provides a global picture of the bifurcation scenario of the Hindmarsh-Rose model and studies one point of every scenario. We use chaotic method to analyze phase plot, nullclines, entropies and dimensions of the chaotic point, from which we might find some useful mechanisms to understand the characteristics...
A class of hyperchaos is modeled based on a modified smooth three-dimensional chaotic system by adding a feedback controller. The new hyperchaos has two very large positive Lyapunov exponents in a quite wide parameter region through observing the Lyapunov exponents spectra. Some simulations of the phase portraits of hyperchaotic attractors are made to show the complicated system orbits. The Poincare...
In this letter, a novel nonlinear neural network (NN) predictive control strategy based on the new tent-map chaotic particle swarm optimization (TCPSO) is presented. The TCPSO incorporating tent-map chaos, which can avoid trapping to local minima and improve the searching performance of standard particle swarm optimization (PSO), is applied to perform the nonlinear optimization to enhance the convergence...
An active disturbances rejection controller is presented for a class of single-input-single-output nonlinear systems with an unknown hysteresis nonlinearity represented by the Preisach model. The active disturbances rejection controller is composed of the nonlinearity tracking differentiator, the extended state observer and the nonlinearity PID. It can estimate disturbances and compensate, according...
Generalized reduced-order synchronization between chaotic system and hyper-chaos based on active control was studied in this paper. It is shown that dynamical evolution of third-order oscillators can be synchronized with the canonical projection of a fourth-order hyper-chaos generated through non-singular states transformation from Rossler hyper-chaos system. In this sense, the synchronization discussed...
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