Chimera states in systems of nonlocal nonidentical phase-coupled oscillators

التفاصيل البيبلوغرافية
العنوان: Chimera states in systems of nonlocal nonidentical phase-coupled oscillators
المؤلفون: Xie, Jianbo, Kao, Hsien-Ching, Knobloch, Edgar
سنة النشر: 2015
المجموعة: Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear Sciences - Chaotic Dynamics
الوصف: Chimera states consisting of domains of coherently and incoherently oscillating nonlocally-coupled phase oscillators in systems with spatial inhomogeneity are studied. The inhomogeneity is introduced through the dependence of the oscillator frequency on its location. Two types of spatial inhomogeneity, localized and spatially periodic, are considered and their effects on the existence and properties of multi-cluster and traveling chimera states are explored. The inhomogeneity is found to break up splay states, to pin the chimera states to specific locations and to trap traveling chimeras. Many of these states can be studied by constructing an evolution equation for a complex order parameter. Solutions of this equation are in good agreement with the results of numerical simulations.
Comment: 16 pages, 35 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.91.032918
URL الوصول: http://arxiv.org/abs/1501.00465
رقم الأكسشن: edsarx.1501.00465
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.91.032918