A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes
Based on the 3D autonomous continuous Lü chaotic system, a new 3D autonomous continuous chaotic system is proposed in this paper, and there are coexisting chaotic attractors in the 3D autonomous continuous chaotic system. Moreover, there are no overlaps between the coexisting chaotic attractors; tha...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/4037682 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849414213398691840 |
|---|---|
| author | Ping Zhou Meihua Ke |
| author_facet | Ping Zhou Meihua Ke |
| author_sort | Ping Zhou |
| collection | DOAJ |
| description | Based on the 3D autonomous continuous Lü chaotic system, a new 3D autonomous continuous chaotic system is proposed in this paper, and there are coexisting chaotic attractors in the 3D autonomous continuous chaotic system. Moreover, there are no overlaps between the coexisting chaotic attractors; that is, there are two isolated chaotic attractors (in this paper, named “positive attractor” and “negative attractor,” resp.). The “positive attractor” and “negative attractor” depend on the distance between the initial points (initial conditions) and the unstable equilibrium points. Furthermore, by means of topological horseshoes theory and numerical computation, the topological horseshoes in this 3D autonomous continuous system is found, and the topological entropy is obtained. These results indicate that the chaotic attractor emerges in the new 3D autonomous continuous system. |
| format | Article |
| id | doaj-art-6e315cf49fdf4eaf99bef2dea74fdc49 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6e315cf49fdf4eaf99bef2dea74fdc492025-08-20T03:33:54ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/40376824037682A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological HorseshoesPing Zhou0Meihua Ke1Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaBased on the 3D autonomous continuous Lü chaotic system, a new 3D autonomous continuous chaotic system is proposed in this paper, and there are coexisting chaotic attractors in the 3D autonomous continuous chaotic system. Moreover, there are no overlaps between the coexisting chaotic attractors; that is, there are two isolated chaotic attractors (in this paper, named “positive attractor” and “negative attractor,” resp.). The “positive attractor” and “negative attractor” depend on the distance between the initial points (initial conditions) and the unstable equilibrium points. Furthermore, by means of topological horseshoes theory and numerical computation, the topological horseshoes in this 3D autonomous continuous system is found, and the topological entropy is obtained. These results indicate that the chaotic attractor emerges in the new 3D autonomous continuous system.http://dx.doi.org/10.1155/2017/4037682 |
| spellingShingle | Ping Zhou Meihua Ke A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes Complexity |
| title | A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes |
| title_full | A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes |
| title_fullStr | A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes |
| title_full_unstemmed | A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes |
| title_short | A New 3D Autonomous Continuous System with Two Isolated Chaotic Attractors and Its Topological Horseshoes |
| title_sort | new 3d autonomous continuous system with two isolated chaotic attractors and its topological horseshoes |
| url | http://dx.doi.org/10.1155/2017/4037682 |
| work_keys_str_mv | AT pingzhou anew3dautonomouscontinuoussystemwithtwoisolatedchaoticattractorsanditstopologicalhorseshoes AT meihuake anew3dautonomouscontinuoussystemwithtwoisolatedchaoticattractorsanditstopologicalhorseshoes AT pingzhou new3dautonomouscontinuoussystemwithtwoisolatedchaoticattractorsanditstopologicalhorseshoes AT meihuake new3dautonomouscontinuoussystemwithtwoisolatedchaoticattractorsanditstopologicalhorseshoes |