In:
International Journal of Bifurcation and Chaos, World Scientific Pub Co Pte Ltd, Vol. 18, No. 06 ( 2008-06), p. 1791-1800
Abstract:
When two phase oscillators interact with a time-delay, new synchronized and desynchronized regimes appear, in this way giving rise to the phenomenon of multistability. The number of coexisting stable states grows with an increase of the delay, and their frequencies quantize. We show that, while the number of synchronized solutions grows linearly with the delay and/or coupling, the set of the desynchronized solutions, i.e. those with different average frequencies of the individual oscillators, raises quadratically with increasing delay. For the synchronized states, we analyze the mutual arrangement of the basins of attraction, and conclude that the structure and size of the basins are apparently the same for each state. We discuss possible implications for desynchronizing brain stimulation techniques.
Type of Medium:
Online Resource
ISSN:
0218-1274
,
1793-6551
DOI:
10.1142/S0218127408021373
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2008
SSG:
11
