A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System

Research Article A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System

Smale Horseshoe of Cellular Neural Networks

CNN were first proposed by Chua and Yang [1988a, 1988b]. Since then much work has been done in the electricial engineering community, e.g. [Chua & Roska, 1993; Thiran et al., 1995]. The main applications of CNN are in image processing and pattern recognition, see [Chua, 1998]. A basic and important class of solutions of (1) are the stable stationary solutions of (1). It plays an important role ...

Control of a Hyperchaotic System Via Generalized Backstepping Method

 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...

Time Management Approach on a Discrete Event Manufacturing System Modeled by Petri Net

    Discrete event system,   Supervisory control,   Petri Net, Constraint   This paper presents a method to manage the time in a manufacturing system for obtaining an optimized model. The system in this paper is modeled by the timed Petri net and the optimization is performed based on the structural properties of Petri nets. In a system there are some states which are called forbidden states an...

Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map

An important problem in the dynamics of surface homeomorphisms is determining the forcing relation between orbits. The forcing relation between periodic orbits can be computed using existing algorithms. Here we consider forcing relations between homoclinic orbits. We outline a general procedure for computing the forcing relation, and apply this to compute the equivalence and forcing relations f...