ورقة بحثية
Synchronization and Oscillator Death in Diffusively coupled lattice oscillators = تزامن وموت المتذبذب في المتذبذبات الشبكية المقرنة انتشاريا

Wasike, Adu A.M.


 

Synchronization and Oscillator Death in Diffusively coupled lattice oscillators = تزامن وموت المتذبذب في المتذبذبات الشبكية المقرنة انتشاريا

Wasike, Adu A.M.

We consider the synchronization and cessation of oscillation of a positive even number of planar oscillators that are coupled to their nearest neighbours on one, two, and three dimensional integer lattices via a linear and symmetric diffusion-like path. Each oscillator has a unique periodic solution that is attracting. We show that for certain coupling strength there are both symmetric and antisymmetric synchronization that corresponds to symmetric and antisymmetric non-constant periodic solutions respectively. Symmetric synchronization persists for all coupling strengths while the antisymmetric case exists for only weak coupling strength and disappears to the origin after a certain coupling strength.

We consider the synchronization and cessation of oscillation of a positive even number of planar oscillators that are coupled to their nearest neighbours on one, two, and three dimensional integer lattices via a linear and symmetric diffusion-like path. Each oscillator has a unique periodic solution...

مادة فرعية

المؤلف : Wasike, Adu A.M.

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 2003مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Mathematics .

الرياضيات .

رقم الطبعة : 1

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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