Title :
Horseshoes in Changeful Systems
Author :
Huang, Wen-zhi ; Huang, Yan
Author_Institution :
Sch. of Comput. Sci. & Eng., Wuhan Inst. of Technol., Wuhan
Abstract :
In this paper we study a changeful system. We show that the system is chaotic by giving a rigorous verification for existence of horseshoes in these systems. We prove that the Poincare maps derived from the system is semi-conjugate to the 2-shift map, and its entropy is no less than log2. Although the system is changeful, the chaotic behavior is robust in the following sense: chaos exists when one parameter varies from 10.91 to 11.05.
Keywords :
chaos; Poincare maps; changeful systems; chaotic behavior; horseshoes existence; Chaos; Computational intelligence; Computer industry; Conferences; Differential equations; Displays; Entropy; Fluctuations; Robustness; Switches;
Conference_Titel :
Computational Intelligence and Industrial Application, 2008. PACIIA '08. Pacific-Asia Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3490-9
DOI :
10.1109/PACIIA.2008.397
