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Dynamic analysis and synchronisation control of a novel chaotic system with coexisting attractors.
- Source :
-
Pramana: Journal of Physics . 2020, Vol. 94 Issue 1, p1-10. 10p. - Publication Year :
- 2020
-
Abstract
- In this paper, a novel four-dimensional continuous chaotic system is constructed from the simplified Lorenz-like system. The novel system has three equilibria, strange attractors, coexisting attractors, and performs Hopf bifurcation with the variation of system parameters. The coexisting attractors, which are the most remarkable dynamic features of the system, are numerically studied. The coexisting attractors show that the system coexists as a pair of point, periodic, and chaotic attractors. Some basic dynamic behaviours are studied as well. The synchronisation control problem of the system is analysed. The theoretical and numerical analyses demonstrate that the system can easily achieve synchronisation by using the passive control technique. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF bifurcations
*DYNAMICAL systems
*ATTRACTORS (Mathematics)
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 03044289
- Volume :
- 94
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Pramana: Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 141510907
- Full Text :
- https://doi.org/10.1007/s12043-019-1891-3