The energy resources system with parametric perturbations and its hyperchaos control

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 4, 2009, Pages 2620-2626

  Sun, Mei ^a   Tian, Lixin ^a   Zeng, Changyan ^a  

^a JIANGSU UNIVERSITY   (China)

Author keywords

Energy resource system; Hyperchaos attractor; Non autonomous feedback control; Parametric perturbation

Indexed keywords

CHAOS THEORY; COMPETITION; DIFFERENTIAL EQUATIONS; FEEDBACK; FEEDBACK CONTROL; ORBITS; THREE DIMENSIONAL;

AUTONOMOUS SYSTEMS; BIFURCATION DIAGRAMS; DYNAMIC BEHAVIORS; DYNAMICAL BEHAVIORS; FEEDBACK CONTROLLERS; HYPERCHAOS ATTRACTOR; HYPERCHAOS CONTROLS; LYAPUNOV EXPONENTS; NON-AUTONOMOUS FEEDBACK CONTROL; NON-AUTONOMOUS SYSTEMS; NUMERICAL SIMULATIONS; PARAMETRIC PERTURBATION; QUASI-PERIODIC; RESOURCE SYSTEMS; SINUSOIDAL PERTURBATIONS; THREE-DIMENSIONAL ENERGIES; UNSTABLE PERIODIC ORBITS;

ENERGY RESOURCES;

EID: 61849097751     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.04.019     Document Type: Article

References (15)

1. Rössler O.E. An equation for hyperchaos. Phys. Lett. A 71 2-3 (1979) 155-157
2. Matsumoto T., Chua L.O., and Kobayashi K. Hyperchaos: Laboratory experiment and numerical confirmation. IEEE Trans. Circuits Syst. 33 11 (1986) 1143-1147
3. Chen G., and Ueta T. Yet another chaotic attractor. Internat J. Bifur. Chaos 9 7 (1999) 1465-1466
4. Lü J., and Chen G. A new chaotic attractor coined. Internat J. Bifur. Chaos 12 3 (2002) 659-661
5. Barbara C., and Silvano C. Hyperchaotic behavior of two bi-directionally Chua's circuits. Int. J. Circuits. Theory Appl. 30 6 (2002) 625-637
6. E J.Q., Wang Y.N., Mei Ch., and Gong J.K. Chaotic behavior of crude copper composition time series in the process of matte converting and its predicable time scale. Nonlinear Anal.: RWA 7 4 (2006) 651-661
7. Chen A., Lu J., Lü J., and Yu S.M. Generating hyperchaotic Lü attractor via state feedback control. Physica A 364 (2006) 103-110
8. Jiang P.Q., Wang B.H., Bu S.L., Xia Q.H., and Luo X.S. Hyperchaotic synchronization in deterministic small-world dynamical networks. Internat J. Modern Phys. B 18 17 (2004) 2674-2679
9. Li Y., Tang W.K.S., and Chen G. Generating hyperchaos via state feedback control. Internat J. Bifur. Chaos 15 10 (2005) 3367-3375
10. Jia Q. Hyperchaos generated from the Lorenz chaotic system and its control. Phys. Lett. A 366 (2007) 217-222
11. Li Y., Chen G., and Tang W.K.S. Controlling a unified chaotic system to hyperchaotic. IEEE Trans. Circuits Syst. II 52 4 (2005) 204-207
12. Sun M., Tian L., and Fu Y. An energy resources demand-supply system and its dynamical analysis. Chaos Solitons Fractals 32 (2007) 168-180
13. Sun M., Tian L., Fu Y., and Qian W. Dynamics and adaptive synchronization of the energy resource system. Chaos Solitons Fractals 31 (2007) 879-888
14. Sun M., Tian L., and Yin J. Hopf bifurcation analysis of the energy resource chaotic system. Internat. J. Nonlinear Sci. 1 (2006) 49-53
15. Sun M., Tian L., Jiang S., and Xu J. Feedback control and adaptive control of the energy resource chaotic system. Chaos Solitons Fractals 32 (2007) 1725-1734