A hidden Markov model for the dynamics of diffusing dissipative solitons

被引:5
|
作者
Albers, Tony [1 ]
Cisternas, Jaime [2 ]
Radons, Gunter [1 ]
机构
[1] Tech Univ Chemnitz, Inst Phys, D-09107 Chemnitz, Germany
[2] Univ los Andes, Fac Ingn & Ciencias Aplicadas, Complex Syst Grp, Monsenor Alvaro del Portillo 12455, Santiago, Chile
关键词
correlation functions; diffusion; dissipative systems; nonlinear dynamics; EXPLOSIONS; STATISTICS;
D O I
10.1088/1742-5468/ab3986
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We investigate the dynamics of dissipative solitons in the cubic-quintic complex Ginzburg-Landau equation in one spatial dimension for different values of the bifurcation parameter mu. We consider a certain range of the parameter mu where dissipative solitons show explosions, i.e. transient enlargements of the soliton that lead to spatial shifts if the explosions are asymmetric. We find that depending on the parameter mu, the arising sequence of spatial shifts can be modeled by a simple anti-persistent random walk or by a more complicated hidden Markov model. We show with the help of exact analytical calculations that these models are able to reproduce several statistics of the soliton motion such as the distribution of spatial shifts, the correlation of spatial shifts, and the distribution of zig-zag streaks.
引用
收藏
页数:24
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