APPROXIMATE SYNCHRONIZATION OF CHAOTIC ATTRACTORS
Cite this article as:
де Фео О. ., Хаслер М. . APPROXIMATE SYNCHRONIZATION OF CHAOTIC ATTRACTORS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 4, pp. 73-80. DOI: https://doi.org/10.18500/0869-6632-2005-13-4-73-80
This work presents a dynamical phenomenon strongly related with the problems of synchronization and control of chaotic dynamical systems. Considering externally driven homoclinic chaotic systems, it is shown experimentally and theoretically that they tend to synchronize with signals strongly correlated with the saddle cycles of their skeleton; furthermore, when they are perturbed with a generic signal, uncorrelated with their skeleton, their chaotic behavior is reinforced. This peculiar behavior of approximate synchronization has also been called qualitative resonance, underlining the fact that such chaotic systems tend to resonate/synchronize with those signals which are qualitatively similar to an observable of their skeleton.
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BibTeX
author = {Oscar de Feo and Martin Hasler},
title = {APPROXIMATE SYNCHRONIZATION OF CHAOTIC ATTRACTORS},
year = {2005},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {13},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/approximate-synchronization-of-chaotic-attractors},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2005-13-4-73-80},pages = {73--80},issn = {0869-6632},
keywords = {-},
abstract = {This work presents a dynamical phenomenon strongly related with the problems of synchronization and control of chaotic dynamical systems. Considering externally driven homoclinic chaotic systems, it is shown experimentally and theoretically that they tend to synchronize with signals strongly correlated with the saddle cycles of their skeleton; furthermore, when they are perturbed with a generic signal, uncorrelated with their skeleton, their chaotic behavior is reinforced. This peculiar behavior of approximate synchronization has also been called qualitative resonance, underlining the fact that such chaotic systems tend to resonate/synchronize with those signals which are qualitatively similar to an observable of their skeleton. }}