The goal of this chapter is to show how certain results in the study of quantum chaos can be used for the design of highly directional emission semiconductor micro lasers and resonant multi-cavities. For this, we first review some basic tools of chaos theory in classical mechanics, focusing on planar billiards (two-dimensional cavities). After pointing out that under certain conditions electrom...

This contribution presents the results of an investigation on deterministic spatiotemporal chaos control by means of evolutionary algorithms. Three evolutionary algorithms are used for chaos control: differential evolution, self-organizing migrating algorithm and genetic algorithm. Models of spatiotemporal chaos, so called coupled map lattices, are used. The main aim of this investigation was t...

This contribution introduces an investigation on deterministic spatiotemporal chaos control based on evolutionary algorithms use. Two evolutionary algorithms are used for chaos control here: differential evolution and self-organizing migrating algorithm. Like a model of spatiotemporal chaos so called coupled map lattices are used. Main aim of this investigation was to show that evolutionary alg...

1 College of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China 2 Department of Armament Engineering, Naval Aeronautical and Astronautical University, Yantai Shandong 264001, China 3 Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai Shandong 264001, China a [email protected], b [email protected], c richkey...

Backstepping design is proposed to control a Lorenz chaotic system. A major advantage of this method is that it has the flexibility to build the control law by avoiding cancellations of useful nonlinearities. Consequently, the goals of stabilization of chaotic motion and tracking of a reference signal are achieved with a reduced control effort. A comparison with the differential geometric metho...

This paper presents anti-synchronization of chaos between two different chaotic systems using active control method. The proposed technique is applied to achieve chaos antisynchronization for the Lü and Rössler dynamical systems. Numerical simulations are implemented to verify the results. Keywords—Active control, Anti-Synchronization, Chaos, Lü system, Rössler system.

We present a numerical study of a one-dimensional version of the Burridge-Knopoff model [16] of N-site chain of spring-blocks with stick-slip dynamics. Our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. It is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...

We generalize a method of control of chaos which uses a delayed feedback governed by a nonlinear function. The method improves the region of the parameter space where control can be achieved, when compared with methods of delayed feedback that use a linear control function.