메뉴 건너뛰기




Volumn 16, Issue 3, 2011, Pages 1501-1508

Bounds for a new chaotic system and its application in chaos synchronization

Author keywords

Chaotic system; Compact invariant sets; The iteration theorem

Indexed keywords

ITERATIVE METHODS;

EID: 77957344292     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.05.032     Document Type: Article
Times cited : (63)

References (21)
  • 1
    • 0000241853 scopus 로고
    • Deterministic non-periods flows [J]
    • Lorenz E.N. Deterministic non-periods flows [J]. J Atmos Sci 1963, 20(2):130-141.
    • (1963) J Atmos Sci , vol.20 , Issue.2 , pp. 130-141
    • Lorenz, E.N.1
  • 2
    • 49549126801 scopus 로고
    • An equation for continuous chaos [J]
    • Rösser O.E. An equation for continuous chaos [J]. Phys Lett A 1976, 57(5):397-398.
    • (1976) Phys Lett A , vol.57 , Issue.5 , pp. 397-398
    • Rösser, O.E.1
  • 3
    • 33846299223 scopus 로고    scopus 로고
    • On the boundedness of solutions of the Chen system
    • Qin Wen-Xin, Chen Guanrong On the boundedness of solutions of the Chen system. J Math Anal Appl 2007, 329(1):445-451.
    • (2007) J Math Anal Appl , vol.329 , Issue.1 , pp. 445-451
    • Qin, W.-X.1    Chen, G.2
  • 4
    • 0036722169 scopus 로고    scopus 로고
    • The compound structure of a new chaotic attractor
    • Lü Jinhu, Chen Guanrong, Zhang Suochun The compound structure of a new chaotic attractor. Chaos Solitons Fractals 2002, 14(5):669-672.
    • (2002) Chaos Solitons Fractals , vol.14 , Issue.5 , pp. 669-672
    • Lü, J.1    Chen, G.2    Zhang, S.3
  • 5
    • 85196218515 scopus 로고    scopus 로고
    • Dynamics of the lorenz system family: analysis, control and synchronization [M]. Beijing: Science Press; [in Chinese]
    • Chen G, Lü J. Dynamics of the lorenz system family: analysis, control and synchronization [M]. Beijing: Science Press; 2003 [in Chinese].
    • (2003)
    • Chen, G.1    Lü, J.2
  • 6
    • 22344449207 scopus 로고    scopus 로고
    • Complex dynamics in Chen's system [J]
    • Yu Chang, Chen Guanrong Complex dynamics in Chen's system [J]. Chaos Solitons Fractals 2006, 27(1):75-86.
    • (2006) Chaos Solitons Fractals , vol.27 , Issue.1 , pp. 75-86
    • Yu, C.1    Chen, G.2
  • 7
    • 1642303941 scopus 로고    scopus 로고
    • Hopf bifurcation analysis of the Lü system
    • Yu Yongguang, Zhang Suochun Hopf bifurcation analysis of the Lü system. Chaos Solitons Fractals 2004, 21(5):1215-1220.
    • (2004) Chaos Solitons Fractals , vol.21 , Issue.5 , pp. 1215-1220
    • Yu, Y.1    Zhang, S.2
  • 8
    • 0141839040 scopus 로고    scopus 로고
    • On stability and bifurcation of Chen's system
    • Li TieCheng, Chen Guanrong, Tang Yun On stability and bifurcation of Chen's system. Chaos Solitons Fractals 2004, 19(5):1269-1282.
    • (2004) Chaos Solitons Fractals , vol.19 , Issue.5 , pp. 1269-1282
    • Li, T.1    Chen, G.2    Tang, Y.3
  • 9
    • 0037411722 scopus 로고    scopus 로고
    • Hopf bifurcation in the Lü system [J]
    • Yu Yongguang, Zhang Suochun Hopf bifurcation in the Lü system [J]. Chaos Solitons Fractals 2003, 17(5):901-906.
    • (2003) Chaos Solitons Fractals , vol.17 , Issue.5 , pp. 901-906
    • Yu, Y.1    Zhang, S.2
  • 10
    • 2442603766 scopus 로고    scopus 로고
    • Complex dynamics in a permanent-magnet synchronous motor model
    • Jing Zhujun, Yu Chang, Chen Guanrong Complex dynamics in a permanent-magnet synchronous motor model. Chaos Solitons Fractals 2004, 22:831-848.
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 831-848
    • Jing, Z.1    Yu, C.2    Chen, G.3
  • 12
    • 58349105559 scopus 로고    scopus 로고
    • Bounds for compact invariant sets of the system describing dynamics of the nuclear spin generator
    • Starkov Konstantin E. Bounds for compact invariant sets of the system describing dynamics of the nuclear spin generator. Commun Nonlinear Sci Numer Simul 2009, 14(6):2565-2570.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , Issue.6 , pp. 2565-2570
    • Starkov, K.E.1
  • 13
    • 67349164294 scopus 로고    scopus 로고
    • Bounding a domain containing all compact invariant sets of the permanent-magnet motor system
    • Coria Luis N., Starkov Konstantin E. Bounding a domain containing all compact invariant sets of the permanent-magnet motor system. Commun Nonlinear Sci Numer Simul 2009, 14(11):3879-3888.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , Issue.11 , pp. 3879-3888
    • Coria, L.N.1    Starkov, K.E.2
  • 15
    • 0031190890 scopus 로고    scopus 로고
    • Estimations of domain with cycles
    • Krishchenko A.P. Estimations of domain with cycles. Comput Math Appl 1997, 34(2-4):325-332.
    • (1997) Comput Math Appl , vol.34 , Issue.2-4 , pp. 325-332
    • Krishchenko, A.P.1
  • 16
    • 0033240334 scopus 로고    scopus 로고
    • The Rikitake two-disk dynamo system and domains with periodic orbits
    • Hardy Y., Steeb W.H. The Rikitake two-disk dynamo system and domains with periodic orbits. Int J Theor Phys 1999, 38:2413-2417.
    • (1999) Int J Theor Phys , vol.38 , pp. 2413-2417
    • Hardy, Y.1    Steeb, W.H.2
  • 17
    • 39449101554 scopus 로고    scopus 로고
    • Estimation of the domain containing all compact invariant sets of the optically injected laser system
    • Starkov K.E. Estimation of the domain containing all compact invariant sets of the optically injected laser system. Int J Bifurcat Chaos 2007, 17(11):4213-4217.
    • (2007) Int J Bifurcat Chaos , vol.17 , Issue.11 , pp. 4213-4217
    • Starkov, K.E.1
  • 18
    • 85196163133 scopus 로고    scopus 로고
    • A new three-dimensional chaotic system and its circuit simulation
    • [in Chinese]
    • Rui Tang Liang, Li Jing, Fan Bing, Zhai Ming-Yue A new three-dimensional chaotic system and its circuit simulation. Phys Lett A 2009, 58(02). [in Chinese].
    • (2009) Phys Lett A , vol.58 , Issue.2
    • Rui, T.L.1    Li, J.2    Fan, B.3    Zhai, M.-Y.4
  • 19
    • 85196157769 scopus 로고    scopus 로고
    • LJC'PCO KOCAREV. Lie Derivatives and Dynamical Systems. Chaos Solitons Fractals
    • LJC'PCO KOCAREV. Lie Derivatives and Dynamical Systems. Chaos Solitons Fractals 1998; 9(8): 1359-1366.
    • (1998) , vol.9 , Issue.8 , pp. 1359-1366
  • 20
    • 33750606677 scopus 로고    scopus 로고
    • Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
    • Li Damei, Lu Jun-an, Wu Xiaoqun, Chen Guanrong Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system. J Math Anal Appl 2006, 323(2):844-853.
    • (2006) J Math Anal Appl , vol.323 , Issue.2 , pp. 844-853
    • Li, D.1    Lu, J.-A.2    Wu, X.3    Chen, G.4
  • 21
    • 63649090922 scopus 로고    scopus 로고
    • Bounds for a domain containing all compact invariant sets of the system describing the laser-plasma interaction
    • Starkov Konstantin E. Bounds for a domain containing all compact invariant sets of the system describing the laser-plasma interaction. Chaos Solitons Fractals 2009, 39::1671-1676.
    • (2009) Chaos Solitons Fractals , vol.39
    • Starkov, K.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.