Statistics and dimension of chaos in differential delay systems
- 1 January 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 35 (1) , 328-339
- https://doi.org/10.1103/physreva.35.328
Abstract
The chaotic solution of dissipative scalar-delay-differential equations with a nonlinear feedback periodic with respect to its argument is shown to behave as a Gaussian-Markovian process in a large time scale. The short time scale is shown to be defined by the correlation time of the delayed feedback. The dimension of the chaotic attractor is shown to be approximately equal to the number of short times that are contained inside the delay.Keywords
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