A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of Fronts separating different phases. A condition for the evolution to be controlled by nonlinear mechanisms is derived on the basis of this relationship. An approximate expression for the nonlinear velocity is also determined by extending the concept of the Lyapunov exponent to a growth rate of finite perturbations.
|Number of pages||9|
|Journal||Journal of Physics A: Mathematical and General|
|Publication status||Published - 21 Aug 1995|
- MARGINAL STABILITY
- FRONT PROPAGATION
- UNSTABLE STATES