Chaos in piecewise-linear systems
- 1 July 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 28 (1) , 477-479
- https://doi.org/10.1103/physreva.28.477
Abstract
A new class of physical systems, those which can be described by piecewise-linear equations, are found to exhibit chaotic behavior similar to that found in previously investigated nonlinear dissipative systems. The example of a damped, sinusoidally forced harmonic oscillator with two possible spring-constant values is investigated in detail. The system exhibits period doubling to chaos characterized by Feigenbaum's universal exponents for a certain range of parameters and an iterated map similar to that in the Lorenz equations for another.Keywords
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