Soliton Turbulence and Strange Attractor?

Hie Tae Moon

Chinese Journal of Physics

30卷5期（1992 / 10 / 01）

769 - 783

英文

This study finds that there exists a set of three basic evolution patterns including a dissipative soliton in the non-Hamiltonian dispersive media described by the Ginzburg-Landau equation. A global analysis in the introduced subspace shows that the soliton is a spiral sink enclosed by a doubly connected homoclinic orbit. The soliton, prior to a turbulent state, breaks up into recurring pulses through a Hopf bifurcation. The strange attractor underlying the turbulence is found and presented with discussion. The Lyapunov number, found from a one-dimensional reduction of the attractor, is given by L ≈ 0.34.