Abstract.

The analytical and numerical analysis of the transition to spatio-temporal chaos in the generalized Kuramoto-Sivashinsky equation through cascades of traveling wave bifurcations is performed in accordance with the universal Feigenbaum-Sharkovsky-Magnitskii bifurcation scenario. It is proved that the bifurcation parameter is the magnitude of the propagation velocity of traveling waves along the spatial axis, which is clearly not included in the initial equation.

Keywords:

generalized Kuramoto-Sivashinsky equation, FSM-cascade of bifurcations, traveling waves, singular attractors.

PP. 96-100.

DOI: 10.14357/20790279180409

References

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