Many new chaotic systems with algebraically simple representations will be described. When the nonlinearities are piecewise linear, they can be easily implemented electronically in circuits with diodes and operational amplifiers. Several new simple and robust chaotic electrical circuits will be described and demonstrated. This talk is available as a PowerPoint Presentation and in HTML format . A version given for the New England Complex Systems Institute is available in PowerPoint and HTML format .
Many interesting phenomena arise from the interaction of a large number of individual components.
Examples include turbulent fluids, the stock market, the ecosystem, and the brain. Recent advances in computing permit such systems to be studied using simple models with a large number of variables. These models exhibit many of the general properties of natural complex systems such as chaos, self-organization, evolution, adaptation, and artificial intelligence. Some of these models will be described, and their dynamical behavior will be illustrated with computer animations. This talk is available as a PowerPoint Presentation and in HTML forma t .