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Synchronization of diffusively coupled oscillators near the homoclinic bifurcation

✍ Scribed by Postnov, Dmitry; Han, Seung Kee; Kook, Hyungtae

Book ID
121215964
Publisher
The American Physical Society
Year
1999
Tongue
English
Weight
947 KB
Volume
60
Category
Article
ISSN
1063-651X

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The behaviour of similar coupled non-linear oscillators of the type 2 = f(x, y, #) ~v = 9(x, y, #) is to be investigated. The oscillators are assumed to be coupled by diffusion gradients. If some conditions on the magnitude of the diffusion coefficients are satisfied, it is proved that: 1) if the os