ABSTRACT

This chapter presents the strange attractors and chaos in continuous-time systems. It discusses methods and numerical experiments on continuous-time systems with chaotic attractors. The chapter aims to introduce the reader to understanding chaos and its manifestations. Chaotic systems display strange attractors, that is, the trajectories are confined in a limit set, in which an infinite number of trajectories approach each other without intersecting one another. It aims to give some insight into further essential aspects of chaotic systems and several tools to numerically evaluate their properties. The continuous interaction between the two dynamical objects is the factor that can lead to a chaotic strange attractor. The Chua's circuit has been discussed, illustrating the dynamical richness of the circuit despite its simplicity in terms of number of components required for its implementation, all elements that contribute to make it the subject of many experiments.