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The energy resources system with parametric perturbations and its hyperchaos control
- Source :
-
Nonlinear Analysis: Real World Applications . Aug2009, Vol. 10 Issue 4, p2620-2626. 7p. - Publication Year :
- 2009
-
Abstract
- Abstract: This paper analyses the dynamic behavior of an energy resources system with parametric perturbations. By adding the small sinusoidal perturbations to the three-dimensional energy resource system established for two regions of China, the autonomous system becomes the non-autonomous system which has richer dynamical behaviors. Periodic, chaotic and hyperchaos behaviors are discovered in the system by means of Lyapunov exponents and bifurcation diagrams. A new energy resources hyperchaos attractor is obtained, which has not yet been reported in present literature. Furthermore, effective non-autonomous feedback controllers are designed for stabilizing hyperchaos to unstable periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results. This study will be instructive for the energy resource demand-supply in some regions of China. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 10
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36971599
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2008.04.019