Templates and subtemplates of Rössler attractors from a bifurcation diagram

Coexisting periodic attractors in injection locked diode lasers

We present experimental evidence of coexisting periodic attractors in a semiconductor laser subject to external optical injection. The coexisting attractors appear after the semiconductor laser has undergone a Hopf bifurcation from the locked steady state. We consider the single-mode rate equations and derive a third-order differential equation for the phase of the laser field. We then analyse ...

On Fundamental. Bifurcations from a Hysteresis Hyperchaos Generator

In this paper we discuss a four-dimensional autonomous circuit which includes one hysteresis element. This circuit is governed by two symmetric three dimensional linear equat ions which are connected to each other by hysteresis switchings. Then we can derive the two-dimensional return map and show the following novel results: 1) Fundamental bifurcation diagram from periodic attractor to hyperch...

Multi-scroll Chaotic and hyperchaotic attractors Generated from Chen System

In this paper, we create a multi-scroll chaotic attractor from Chen system by a nonlinear feedback control. The dynamic behavior of the new chaotic attractor is analyzed. Specially, the Lyapunov spectrum and Lyapunov dimension are calculated and the bifurcation diagram is sketched. Furthermore, via changing the value of the control parameters, we can increase the number of equilibrium points an...

Toward a General Procedure for Extracting Templates from Chaotic Attractors Bounded by High Genus Torus

A Novel Multi-Wing Chaotic System and Circuit Simulation

Base on a 3-D chaotic system, a new chaotic system generating three-wing and fourwing chaotic attractors is constructed by introducing a linear term. The phase diagrams, Lyapunov exponent spectrums and bifurcation diagrams of the system are studied by numerical simulation. Furthermore, the system is simulated by circuit, and the three-wing and four-wing chaotic attractors are observed. The circ...