کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
696419 890336 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Synchronization of diffusively-coupled limit cycle oscillators
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Synchronization of diffusively-coupled limit cycle oscillators
چکیده انگلیسی

We develop analytical and numerical conditions to determine whether limit cycle oscillations synchronize in diffusively coupled systems. We examine two classes of systems: reaction–diffusion PDEs with Neumann boundary conditions, and compartmental ODEs, where compartments are interconnected through diffusion terms with adjacent compartments. In both cases the uncoupled dynamics are governed by a nonlinear system that admits an asymptotically stable limit cycle. We provide two-time scale averaging methods for certifying stability of spatially homogeneous time-periodic trajectories in the presence of sufficiently small or large diffusion and develop methods using the structured singular value for the case of intermediate diffusion. We highlight cases where diffusion stabilizes or destabilizes such trajectories.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 49, Issue 12, December 2013, Pages 3613–3622
نویسندگان
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