Hierarchical structural symmetry of periodic islands embedded in the chaotic region of modified optical injection semiconductor lasers(MOISLs)is expounded upon in phase diagrams.The onset of the bifurcation cascade sh...Hierarchical structural symmetry of periodic islands embedded in the chaotic region of modified optical injection semiconductor lasers(MOISLs)is expounded upon in phase diagrams.The onset of the bifurcation cascade shows remarkable accumulation horizons.Each cascade follows a specific period-adding route.Self-similarities and infinite spiral nestings shrinking beyond a certain point of the periodic hub are revealed to affirm the existence of self-organized distribution of periodicity and chaos in phase diagrams.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 11161027the Natural Science Foundation of Gansu Province(No 1010RJZA067).
文摘Hierarchical structural symmetry of periodic islands embedded in the chaotic region of modified optical injection semiconductor lasers(MOISLs)is expounded upon in phase diagrams.The onset of the bifurcation cascade shows remarkable accumulation horizons.Each cascade follows a specific period-adding route.Self-similarities and infinite spiral nestings shrinking beyond a certain point of the periodic hub are revealed to affirm the existence of self-organized distribution of periodicity and chaos in phase diagrams.