Robert Mettin: abstract PEC

Parametric entrainment control of chaotic systems

R. Mettin, A. Hübler, A. Scheeline

Center for Complex Systems Research, Beckman Institute, 405 N Mathews Avenue,
University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA

W. Lauterborn

Drittes Physikalisches Institut, Universität Göttingen,
Bürgerstraße 42-44, D-37073 Göttingen, Germany


Abstract

We apply a generalized approach for model-based non-feedback control to chaotic systems where parametric dependence on the control forces is included. The existing formalism is extended for our purpose. For chaotic iterated maps and ordinary differential equations, we obtain entrainment to stationary, periodic, and aperiodic goal dynamics. Applicability to general resonance spectroscopy is demonstrated.


Phys. Rev. E 51, 4065-4075 (1995).


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