This book presents an important condition for stability and persistence of synchronized manifold of diffusively coupled oscillators of linear and planar simple Bravais lattices. This is done by considering n ( 2), d-dimensional oscillators each with an assymptoticaly stable limit cycle coupled by a nearest neighbour linear diffusive like path. In chapter two we review what has been done in relation to the three aspects; namely synchronization, stability and persistence of the synchronized manifold. In Chapter three, we state and prove a theorem that gives the conditions for stability and...
This book presents an important condition for stability and persistence of synchronized manifold of diffusively coupled oscillators of linear and plan...
