A new chaotic attractor and its robust function projective synchronization

Nonlinear Dynamics

Volumn 73, Issue 3, 2013, Pages 1883-1893

  Kim, Dongwon ^a   Chang, Pyung Hun ^a,b   Kim, Se Hwan ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^b Daegu Gyeongbuk Institute of Science and Technology   (South Korea)

Author keywords

Chaos; Chaotic attractor; Chaotic circuit; Chaotic system; Function projective synchronization

Indexed keywords

ANALOG CHAOTIC CIRCUITS; CHAOTIC ATTRACTORS; CHAOTIC CIRCUITS; FUNCTION PROJECTIVE SYNCHRONIZATIONS; GENERALIZED LORENZ SYSTEM; LORENZ SYSTEM; ROBUST SYNCHRONIZATION; TIME DELAY ESTIMATION;

ANALOG CIRCUITS; CHAOS THEORY; NETWORKS (CIRCUITS);

CHAOTIC SYSTEMS;

EID: 84880920985     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-0911-y     Document Type: Article

References (30)

1. Lorenz, E.N.: Deterministic nonperiodic flow. J. Atmos. Sci. 20, 130-141 (1963)
2. Rössler, O.E.: An equation for continuous chaos. Phys. Lett. A 57, 397-398 (1976)
3. Chen, G., Ueta, T.: Yet another chaotic attractor. Int. J. Bifurc. Chaos 9, 1465-1466 (1999)
4. Lü, J.H., Chen, G.R.: A new chaotic attractor coined. Int. J. Bifurc. Chaos 3, 659-661 (2002)
5. Wang, L.: 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system. Nonlinear Dyn. 56, 453-462 (2009)
6. Zhang, X., Zhu, H., Yao, H.: Analysis of a new three dimensional chaotic system. Nonlinear Dyn. 67, 335-342 (2012)
7. Li, X., Ou, Q.: Dynamical properties and simulation of a new Lorenz-like chaotic system. Nonlinear Dyn. 65, 255-270 (2011)
8. Sprott, J.C.: Some simple chaotic flows. Phys. Rev. E 50, 647-650 (1994)
9. Sprott, J.C., Linz, S.J.: Algebraically simple chaotic flows. Int. J. Chaos Theory Appl. 5, 3-22 (2000)
10. Munmuangsaen, B., Srisuchinwong, B.: A new five-term simple chaotic attractor. Phys. Lett. A 373, 4038-4043 (2009)
11. Huang, L., Liu, A.: Analysis and synchronization for a new fractional-order chaotic system with absolute value term. Nonlinear Dyn. 70, 255-270 (2012)
12. Liu, C., Liu, T., Liu, L., Liu, K.: A new chaotic attractor. Chaos Solitons Fractals 22, 1031-1038 (2004)
13. Kim, D., Chang, P.H.: A new butterfly-shaped chaotic attractor. Results Phys. 3, 14-19 (2013)
14. Chang, P.H., Kim, D.: Introduction and synchronization of a five-term chaotic system with an absolute-value term. Nonlinear Dyn. (2013). doi: 10.1007/s11071-013-0786-y
15. Fradkov, A.L., Evans, R.J.: Control of chaos: methods and applications. Annu. Rev. Control 29, 33-66 (2004)
16. Chen, G., Dong, X.: From Chaos to Order: Methodologies, Perspectives and Applications. World Scientific, Singapore (1998)
17. Adeli, H., Ghosh-Dastidar, S., Dadmehr, N.: A wavelet chaos methodology for analysis of EEGs and EEG subbands to detect seizure and epilepsy. IEEE Trans. Biomed. Eng. 54, 205-211 (2007)
18. Čelikovský, S., Chen, G.: On the generalized Lorenz canonical form. Chaos Solitons Fractals 22, 1271-1276 (2005)
19. Xu, D., Li, Z., Bishop, S.R.: Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems. Chaos 11, 439-442 (2001)
20. Wu, X., Li, S.: Dynamics analysis and hybrid function projective synchronization of a new chaotic system. Nonlinear Dyn. 69, 1979-1994 (2012)
21. Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821-824 (1990)
22. Zheng, Z.G., Hu, G.: Generalized synchronization versus phase synchronization. Phys. Rev. E 62, 7882-7885 (2000)
23. Pikovsky, A.S., Rosenblum, M.G., Kurths, J.: From phase to lag synchronization in coupled chaotic oscillators. Phys. Rev. Lett. 78, 4193-4197 (1997)
24. Chen, Y., Li, X.: Function projective synchronization between two identical chaotic systems. Int. J. Mod. Phys. C 18, 883-888 (2007)
25. Du, H., Zeng, Q., Wang, C.: Function projective synchronization of different chaotic systems with uncertain parameters. Phys. Lett. A 372, 5402-5410 (2008)
26. Yu, Y., Li, H.: Adaptive generalized function projective synchronization of uncertain chaotic systems. Nonlinear Anal., Real World Appl. 11, 2456-2464 (2010)
27. Wu, X., Lu, H.: Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters. Chaos Solitons Fractals 44, 802-810 (2011)
28. Kim, D., Gillespie, R.B., Chang, P.H.: Simple, robust control and synchronization of Lorenz system. Nonlinear Dyn. (2013). doi: 10.1007/s11071-013-0846-3
29. Jin, M., Chang, P.H.: Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems. Chaos Solitons Fractals 41, 2672-2680 (2009)
30. Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A.: Determining Lyapunov exponents from a time series. Physica D 16, 285-317 (1985)