Abstract
In this paper, several three-dimensional (3-D) four-wing smooth quadratic autonomous chaotic systems are analyzed. It is shown that these systems have similar features. A simpler and generalized 3-D continuous autonomous system is proposed based on these features which can be extended to existing 3-D four-wing chaotic systems by adding some linear and/or quadratic terms. The new system can generate a four-wing chaotic attractor with simple topological structures. Some basic properties of the new system is analyzed by means of Lyapunov exponents, bifurcation diagrams and Poincaré maps. Phase diagrams show that the equilibria are related to the existence of multiple wings.
Original language | English |
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Pages (from-to) | 3841-3853 |
Number of pages | 13 |
Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
Volume | 19 |
Issue number | 11 |
DOIs | |
Publication status | Published - Nov 2009 |
Externally published | Yes |
Keywords
- Bifurcation
- Chaos
- Four-wing chaos
- Lyapunov exponents
ASJC Scopus subject areas
- Modeling and Simulation
- Engineering (miscellaneous)
- Multidisciplinary
- Applied Mathematics