Heteroclinic Ratchets in a System of Four Coupled Oscillators

التفاصيل البيبلوغرافية
العنوان: Heteroclinic Ratchets in a System of Four Coupled Oscillators
المؤلفون: Karabacak, O., Ashwin, P.
المصدر: Journal of Nonlinear Science, 2009, DOI 10.1007/s00332-009-9053-2
سنة النشر: 2008
المجموعة: Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Adaptation and Self-Organizing Systems
الوصف: We study an unusual but robust phenomenon that appears in an example system of four coupled phase oscillators. We show that the system can have a robust attractor that responds to a specific detuning between certain pairs of the oscillators by a breaking of phase locking for arbitrary positive detunings but not for negative detunings. As the dynamical mechanism behind this is a particular type of heteroclinic network, we call this a 'heteroclinic ratchet' because of its dynamical resemblance to a mechanical ratchet.
نوع الوثيقة: Working Paper
DOI: 10.1007/s00332-009-9053-2
URL الوصول: http://arxiv.org/abs/0811.1012
رقم الأكسشن: edsarx.0811.1012
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s00332-009-9053-2