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Multi-scroll hidden attractors in improved Sprott A system
- Source :
- Nonlinear Dynamics. 86:1725-1734
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- In this paper, two simple 3D chaotic systems are constructed by introducing nonlinear functions into Sprott A system, which all have no equilibrium, and multi-scroll hidden attractors can be obtained. In the case of simple sine function without restricting its nonlinear dynamical range, the number of multi-scroll attractors has nothing to do with the system equilibria, which is only determined by the transient simulation time. In the other case, the introduced nonlinear function is composed of nonlinear part and linear part; thus, the nonlinearity of improved Sprott A system is limited in certain range, as a result, the number of multi-scroll hidden attractors can be selected arbitrarily within finite transient simulation time. Furthermore, the dynamical properties of two systems are studied through phase plane, time series, Poincare map and frequency spectra. Finally, an electronic circuit of improved Sprott A system is implemented in Pspice, and the results of electronic circuit are consistent with that of the numerical simulation.
- Subjects :
- Computer simulation
Series (mathematics)
Applied Mathematics
Mechanical Engineering
MathematicsofComputing_NUMERICALANALYSIS
Aerospace Engineering
Ocean Engineering
Phase plane
01 natural sciences
010305 fluids & plasmas
Nonlinear system
Control and Systems Engineering
Control theory
0103 physical sciences
Attractor
Applied mathematics
Transient (oscillation)
Electrical and Electronic Engineering
010301 acoustics
Electronic circuit
Poincaré map
Mathematics
Subjects
Details
- ISSN :
- 1573269X and 0924090X
- Volume :
- 86
- Database :
- OpenAIRE
- Journal :
- Nonlinear Dynamics
- Accession number :
- edsair.doi...........322a20884b83ba762c41f4c24eaa4a98