Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume 27, Issue 23, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979213501294
Keywords
Spatiotemporal chaos; spiral waves; generalized synchronization; frequency locking
Funding
- National Natural Science Foundation of China [11262003, 11047003]
- Strategic research grant, City University of Hong Kong [CityU-SRG 7002718]
- Graduate Student Innovative Foundation of Guangxi Zhuang Autonomous Region [YCSZ2012013]
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In this paper, we propose the stochastic and unidirectional cross-coupled control method between two-layer excitable media to suppress the spiral waves and spatiotemporal chaos. Four types of the drive-response system in such two-layer excitable media are studied. By performing many simulations, results illustrate the spiral waves and spatiotemporal chaos can be controlled to the desired target states like the target waves and traveling waves. Patterns obtained are obviously different from those of the one-to-one coupling model. Based on the method proposed by Henry, we have carefully studied the generalized synchronization between the drive and response system with the stochastic and cross-connecting points via amplitude analysis and computing Poisson coefficient. Moreover, there also exists the frequency locking phenomenon.
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