Title
Horseshoes in Changeful Systems
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.
Year
DOI
Venue
2008
10.1109/PACIIA.2008.397
PACIIA (2)
Keywords
Field
DocType
poincare map,robustness,entropy,strips,differential equations,fluctuations
Differential equation,Discrete mathematics,Poincaré conjecture,Pattern recognition,Algebra,Computer science,Robustness (computer science),Artificial intelligence,Chaotic
Conference
Volume
Issue
Citations 
2
null
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Wen-Zhi Huang1132.92
Yan Huang230.73