On the 0/1 test for chaos in continuous systems

• Autorzy: Melosik M. , Marszalek W.

Identyfikatory

DOI

10.1515/bpasts-2016-0058

• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss in detail the resonance and oversampling features of the 0/1 test for chaos in continuous systems and propose methods to avoid those undesired features. Our method is based on certain frequency properties of the 0/1 test. When reconstructing the phase space, our approach is compared with the first minimum of the mutual information method. Several numerical results for typical chaotic systems (including memristive circuits) are included.

Słowa kluczowe

EN

test 0/1 for chaos; oversampling; phase space reconstruction; mutual information; FFT

PL

test 0-1 dla układów dynamicznych; chaos; oversampling; faza przebudowy przestrzeni; wzajemne przekazywanie informacji; FFT

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 3
• Strony: 521--528
• Opis fizyczny: Bibliogr. 21 poz., rys., wykr., rys.

Twórcy

autor

Melosik M.

• Poznan University of Technology, Department of Computer Science, 3A Piotrowo St., 61-138 Poznan, Poland

autor

Marszalek W.

• Rutgers University, Department of Mathematics, 110 Frelinghuysen Road, Piscataway, NJ 08854, United States of America

Bibliografia

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