Chaos: a tutorial for engineers
Article Abstract:
The 1980's brought great interest and enthusiasm in nonlinear systems research. These were prompted by two factors: the availability of cheap computer power for numerical simulations of these systems, and the discovery of "chaos." Chaos is also called strange behavior. Chaotic systems are deterministic systems which may be unpredictable and which exhibit random behavior. As a result of research in nonlinear systems, practical techniques for categorizing their steady states, including strange behavior, are available. These methods include: the Poincare' map; Lyapunov exponents; information, correlation, and Lyapunov dimensions; and the reconstruction of attractors from a single time series.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1987
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INSITE - a software toolkit for the analysis of nonlinear dynamical systems
Article Abstract:
The Interactive Nonlinear Systems Investigative toolkit for Everyone, INSITE, has been developed for the numerical simulation and analysis of nonlinear dynamical systems, especially those with chaotic behavior. This user-friendly collection of programs is graphically oriented and has seven main programs. These programs include software to: calculate and display trajectories, phase portraits, and bifurcation diagrams; locate periodic solutions; and calculate Lyapunov exponents, Lyapunov dimensions, fractal dimensions, and correlation dimensions. INSITE was developed to be used with both UNIX and PC-DOS operating systems.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1987
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Chaos from switched-capacitor circuits: discrete maps
Article Abstract:
An analog computer made of switched-capacitor circuits may be used in the simulation and analysis of chaotic behavior and bifurcation in nonlinear discrete dynamical systems. The chaos has been observed in nonlinear systems modeled by a certain discrete map. The analog computer represents an effective approach for investigating the systems' asymptotic behavior after the steady-state has been achieved. Experimental results for four switched-capacitor circuits described by the logistic, Lozi, Henon and piecewise-linear unimodal (one-hump) maps are given.
Publication Name: Proceedings of the IEEE
Subject: Electronics
ISSN: 0018-9219
Year: 1987
User Contributions:
Comment about this article or add new information about this topic:
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