We consider the strength-duration relationship in one-dimensional spatially extended excitable media.
In a previous study [36] set out to separate initial (or boundary) conditions leading to propagation wave
solutions from those leading to decay solutions, an analytical criterion based on an approximation of
the (center-)stable ...
We consider the strength-duration relationship in one-dimensional spatially extended excitable media.
In a previous study [36] set out to separate initial (or boundary) conditions leading to propagation wave
solutions from those leading to decay solutions, an analytical criterion based on an approximation of
the (center-)stable manifold of a certain critical solution was presented. The theoretical prediction in
the case of strength-extent curve was later on extended to cover a wider class of excitable systems
including multicomponent reaction-diffusion systems, systems with non-self-adjoint linearized operators
and in particular, systems with moving critical solutions (critical fronts and critical pulses) [7].
In the present work, we consider extension of the theory to the case of strength-duration curve.
