Chaos without Nonlinear Dynamics

Ned J. Corron, Scott T. Hayes, Shawn D. Pethel, and Jonathan N. Blakely
Phys. Rev. Lett. 97, 024101 – Published 13 July 2006

Abstract

A linear, second-order filter driven by randomly polarized pulses is shown to generate a waveform that is chaotic under time reversal. That is, the filter output exhibits determinism and a positive Lyapunov exponent when viewed backward in time. The filter is demonstrated experimentally using a passive electronic circuit, and the resulting waveform exhibits a Lorenz-like butterfly structure. This phenomenon suggests that chaos may be connected to physical theories whose underlying framework is not that of a traditional deterministic nonlinear dynamical system.

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  • Received 1 March 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.024101

Authors & Affiliations

Ned J. Corron, Scott T. Hayes, Shawn D. Pethel, and Jonathan N. Blakely

  • U.S. Army RDECOM, AMSRD-AMR-WS-ST, Redstone Arsenal, Alabama 35898, USA

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Issue

Vol. 97, Iss. 2 — 14 July 2006

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