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Fixed-Time Synchronization of the New Single-Parameter Chaotic System
- Source :
- Complexity, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi Limited, 2020.
-
Abstract
- This paper advances a new single-parameter chaotic system with a simple structure, and some basic dynamic behavior of the new single-parameter system is discussed, such as equilibria, dissipativity, the existence of an attractor, Lyapunov exponent, Poincaré map, spectrum map, and bifurcation diagram. Moreover, a new fixed-time convergence theorem is proposed for general chaotic systems based on finite-time control theory, and a fixed-time controller is also put to achieve synchronization of the new chaotic system. Simulation results are presented to show the effectiveness of the theoretical results. The conclusion of the paper is useful for the nonlinear economics and engineering application.
- Subjects :
- Multidisciplinary
Article Subject
General Computer Science
Computer science
020208 electrical & electronic engineering
Chaotic
QA75.5-76.95
02 engineering and technology
Lyapunov exponent
Topology
Bifurcation diagram
01 natural sciences
Synchronization
Nonlinear Sciences::Chaotic Dynamics
Nonlinear system
symbols.namesake
Control theory
Electronic computers. Computer science
0103 physical sciences
Attractor
0202 electrical engineering, electronic engineering, information engineering
symbols
010301 acoustics
Poincaré map
Subjects
Details
- ISSN :
- 10990526 and 10762787
- Volume :
- 2020
- Database :
- OpenAIRE
- Journal :
- Complexity
- Accession number :
- edsair.doi.dedup.....8bde5b8e5e9cc9b2c1fc169361d9b23d