Coexisting Three-Scroll and Four-Scroll Chaotic Attractors in a Fractional-Order System by a Three-Scroll Integer-Order Memristive Chaotic System and Chaos Control

Based on the integer-order memristive system that can generate two-scroll, three-scroll, and four-scroll chaotic attractors, in this paper, we found other phenomena that two kinds of three-scroll chaotic attractors coexist in this system with different initial conditions. Furthermore, we proposed a coexisting fractional-order system based on the three-scroll chaotic attractors system, in which the three-scroll or four-scroll chaotic attractors emerged with different fractional-orders q. Meanwhile, with fractional-order q=0.965 and different initial conditions, coexistence of two kinds of three-scroll and four-scroll chaotic attractors is found simultaneously. Finally, we discussed controlling chaos for the fractional-order memristive chaotic system

Circuit Realization of a 3D Multistability Chaotic System and Its Synchronization via Linear Resistor and Linear Capacitor in Parallel Coupling

In this paper, a 3D multistability chaotic system with two coexisting conditional symmetric attractors is studied by using a circuit block diagram and realized by using an electronic circuit. The simulation results show that two coexisting conditional symmetric attractors are emerged in this electronic circuit. Furthermore, synchronization of this 3D multistability chaotic system and its electronic circuit is studied. It shows that linear resistor and linear capacitor in parallel coupling can achieve synchronization in this chaotic electronic circuit. That is, the output voltage of chaotic electronic circuit is coupled via one linear resistor and one linear capacitor in parallel coupling. The simulation results verify that synchronization of the chaotic electronic circuit can be achieved

Entire Spectrum Measurement Of Kerr Constant And Birefringence Dispersion In A Polymer-Stabilized Blue-Phase Liquid Crystal Composite

A new method is proposed and implemented experimentally for measuring the electric-field induced birefringence together with the Kerr constant of a polymer-stabilized blue-phase liquid crystal (PSBPLC) composite. The conventional Senarmont compensation method is only suitable for the single wavelength measurement limited by the achromatic zero order quarter wavelength plate (QWP). In our new method, the QWP is removed so that a broad band light source can be used instead of monochromatic incident light. Herein planar ITO electrodes are employed, producing a uniformly distributed vertical electric field. Thus the fitting data is accurate and convincing prior to that from the IPS cell measurement. By rotating the sample to an oblique angle and using the spectrometer to scan the voltage dependent optical transmission, the induced birefringence and the Kerr constant for the entire visible spectrum can be carried out using the single band model. Quantitative experimental results have been obtained and presented in this paper to support this proposed scheme. © 2013 Society for Information Display

Synchronization and patterns in a memristive network in noisy electric field

A simple neural circuit coupled by magnetic flux-controlled memristor (MFCM) can be controlled to describe the electromagnetic effect and radiation on biological neurons. In this paper, the effect of external electric field on biophysical neurons is identified by adding a charge-controlled memristor into a nonlinear circuit. This memristive circuit can present a variety of firing patterns by tuning the angular frequency of an external voltage source. As a result, the physical field energy in this neural circuit and its equivalent Hamilton energy for memristive neuron are dependent on the firing modes of neural activities. For clustered neurons, field energy is exchanged and propagated to obtain fast energy balance by regulating the charge flow in the chain network. Indeed, the growth of coupling intensity is controlled by the energy difference between adjacent neurons, and perfect energy balance keeps a saturation value for coupling intensity. The collective behaviors of memristive neurons in the chain network are adjusted by regulating the coupling intensity for the exchange of charges. In addition, noisy disturbance from external electric field is applied to study the synchronization stability and wave propagation in the network, and energy flow is estimated