Fluctuations and the Energy-Optimal Control of Chaos

I. A. Khovanov, D. G. Luchinsky, R. Mannella, and P. V. E. McClintock
Phys. Rev. Lett. 85, 2100 – Published 4 September 2000
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Abstract

The energy-optimal entraining of the dynamics of a periodically driven oscillator, moving it from a chaotic attractor to a coexisting stable limit cycle, is investigated via analysis of fluctuational transitions between the two states. The deterministic optimal control function is identified with the corresponding optimal fluctuational force, which is found by numerical and analog simulations.

  • Received 28 March 2000

DOI:https://doi.org/10.1103/PhysRevLett.85.2100

©2000 American Physical Society

Authors & Affiliations

I. A. Khovanov1, D. G. Luchinsky2, R. Mannella3, and P. V. E. McClintock2

  • 1Department of Physics, Saratov State University, Astrahanskaya 83, 410026, Saratov, Russia
  • 2Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom
  • 3Dipartimento di Fisica, Università di Pisa and INFM UdR Pisa, Piazza Torricelli 2, 56100 Pisa, Italy

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Issue

Vol. 85, Iss. 10 — 4 September 2000

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