Controlling chaotic systems by mutual redefinition of space and dynamics: an outlook of computational dynamics

Gianfranco Basti; Paola Cocciolo; Antonio Luigi Perrone

doi:10.1117/12.157148

15 October 1993 Controlling chaotic systems by mutual redefinition of space and dynamics: an outlook of computational dynamics

Gianfranco Basti, Paola Cocciolo, Antonio Luigi Perrone

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Proceedings Volume 1943, State-of-the-Art Mapping; (1993) https://doi.org/10.1117/12.157148
Event: Optical Engineering and Photonics in Aerospace Sensing, 1993, Orlando, FL, United States

Abstract

A new method of extraction of unstable periodic orbits from chaotic dynamics is presented. This method is founded on a theorem of mutual redefinition between numbers (space) and processes (dynamics) to solve diagonalization problems. The computational relevance of the method is discussed in view of grating a characterization of chaotic dynamics in linear (not exponential) time. A possible informational use of this method is sketched.

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Gianfranco Basti, Paola Cocciolo, and Antonio Luigi Perrone "Controlling chaotic systems by mutual redefinition of space and dynamics: an outlook of computational dynamics", Proc. SPIE 1943, State-of-the-Art Mapping, (15 October 1993); https://doi.org/10.1117/12.157148

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