Abstract | ||
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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 Huang | 1 | 13 | 2.92 |
Yan Huang | 2 | 3 | 0.73 |