ATTRACTOR OF SMALE–WILLIAMS TYPE IN A RING SYSTEM WITH PERIODIC FREQUENCY MODULATION


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Kruglov V. P. ATTRACTOR OF SMALE–WILLIAMS TYPE IN A RING SYSTEM WITH PERIODIC FREQUENCY MODULATION. Izvestiya VUZ, Applied Nonlinear Dynamics, 2012, vol. 20, iss. 1, pp. 124-128 DOI: 10.18500/0869-6632-2012-20-1-124-128


A scheme of circular nonautonomous system is introduced, which is supposed to generate hyperbolic chaos. Its operation is based on doubling of phase on complete cycle of the signal transmission. This is a criterion for the Smale–Williams attractor to exist. The performance is realized due to smooth periodic variation of natural frequency in one of the two oscillatory subsystems, which compose the ring, from reference value to the doubled one.

DOI: 
10.18500/0869-6632-2012-20-1-124-128
Literature

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3. Kuznetsov S.P. Example of a physical system with a hyperbolic attractor of the Smale–Williams type // Phys. Rev. Lett. 2005. Vol. 95. 144101.

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BibTeX

@article{Круглов-IzvVUZ_AND-20-1-124,
author = {V. P. Kruglov},
title = {ATTRACTOR OF SMALE–WILLIAMS TYPE IN A RING SYSTEM WITH PERIODIC FREQUENCY MODULATION},
year = {2012},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {20},number = {1},
url = {http://andjournal.sgu.ru/en/articles/attractor-of-smale-williams-type-in-ring-system-with-periodic-frequency-modulation},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2012-20-1-124-128},pages = {124--128},issn = {0869-6632},
keywords = {hyperbolic chaos,Smale–Williams attractor,structural stability.},
abstract = {A scheme of circular nonautonomous system is introduced, which is supposed to generate hyperbolic chaos. Its operation is based on doubling of phase on complete cycle of the signal transmission. This is a criterion for the Smale–Williams attractor to exist. The performance is realized due to smooth periodic variation of natural frequency in one of the two oscillatory subsystems, which compose the ring, from reference value to the doubled one. }}