PERIODIC, QUASI-PERIODIC, AND CHAOTIC LOCALIZED SOLUTIONS OF THE QUINTIC COMPLEX GINZBURG-LANDAU EQUATION

被引:179
作者
DEISSLER, RJ
BRAND, HR
机构
[1] NASA,LEWIS RES CTR,OHIO AEROSP INST,INST COMPUTAT MECH PROPULS,CLEVELAND,OH 44135
[2] UNIV BAYREUTH,D-95440 BAYREUTH,GERMANY
关键词
D O I
10.1103/PhysRevLett.72.478
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss time-dependent spatially localized solutions of the quintic complex Ginzburg-Landau equation applicable near a weakly inverted bifurcation to traveling waves. We find that there are-in addition to the stationary pulses reported previously-stable localized solutions that are periodic, quasiperiodic, or even chaotic in time. An intuitive picture for the stability of thee time-dependent localized solutions is presented and the novelty of these phenomena in comparison to localized solutions arising for exactly integrable systems is emphasized.
引用
收藏
页码:478 / 481
页数:4
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