Bifurcation and chaos
Abstract
A system is something having parts that may be perceived as a single entity. A dynamical system is one that changes with time; what changes is the state of the system. Mathematically, a dynamical system consists of a space of states (called the state space or phase space) and a rule, called the dynamic, for determining which state corresponds at a given future time to a given present state [8]. A deterministic dynamical system is one where the state, at any time, is completely determined by its initial state and dynamic. In this section, we consider only deterministic dynamical systems. A deterministic dynamical system may have a continuous or discrete state space and a continuous-time or discrete-time dynamic.
Publication Title
Feedback, Nonlinear, and Distributed Circuits
Recommended Citation
Kennedy, M. (2009). Bifurcation and chaos. Feedback, Nonlinear, and Distributed Circuits, 16-1. Retrieved from https://digitalcommons.memphis.edu/facpubs/17343