S. A. Kashchenko scite author profile

In this paper the local dynamics of systems of nonlinear PDEs with small diffusion is studied. The main feature of these systems lies in the fact that the dimension of a critical case in the stability problem for an equilibrium state is equal to infinity. Algorithms that reduce the initial problem to the analysis of nonlocal dynamics of special evolution equations playing the role of normal forms are developed.

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Travelling wave dynamics in a nonlinear interferometer with spatial field transformer in feedback

Grigorieva¹,

Haken²,

Kashchenko³

et al. 1999

Physica D: Nonlinear Phenomena

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S. A. Kashchenko

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Travelling wave dynamics in a nonlinear interferometer with spatial field transformer in feedback

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