Symmetry and Period-Adding Windows in a Modified Optical Injection Semiconductor Laser Model
LI Xian-Feng1**, Andrew Y. -T. Leung2, CHU Yan-Dong1
1Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070 2Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong
Symmetry and Period-Adding Windows in a Modified Optical Injection Semiconductor Laser Model
LI Xian-Feng1**, Andrew Y. -T. Leung2, CHU Yan-Dong1
1Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070 2Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong
摘要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.
Abstract：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.
LI Xian-Feng**;Andrew Y. -T. Leung;CHU Yan-Dong. Symmetry and Period-Adding Windows in a Modified Optical Injection Semiconductor Laser Model[J]. 中国物理快报, 2012, 29(1): 10201-010201.
LI Xian-Feng**, Andrew Y. -T. Leung, CHU Yan-Dong. Symmetry and Period-Adding Windows in a Modified Optical Injection Semiconductor Laser Model. Chin. Phys. Lett., 2012, 29(1): 10201-010201.
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2012, Vol. 29 
