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Volumn 67, Issue 4, 2012, Pages 2455-2465

A novel bounded 4D chaotic system

Author keywords

Hyperchaos; Lyapunov function; Positively invariant set; Ultimate bound

Indexed keywords

CHAOTIC ATTRACTORS; HYPERCHAOS; INVARIANT SET; LYAPUNOV; LYAPUNOV FUNCTION METHOD; PERIODIC BEHAVIOR; QUASI-PERIODIC; ULTIMATE BOUND;

EID: 84858863293     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0159-3     Document Type: Article
Times cited : (32)

References (23)
  • 1
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
    • E.N. Lorenz 1963 Deterministic nonperiodic flow J. Atmos. Sci. 20 130 141 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 2
    • 62249200922 scopus 로고    scopus 로고
    • Yet another chaotic attractor
    • 1729683 0962.37013 10.1142/S0218127499001024
    • G. Chen T. Ueta 1999 Yet another chaotic attractor Int. J. Bifurc. Chaos 9 1465 1466 1729683 0962.37013 10.1142/S0218127499001024
    • (1999) Int. J. Bifurc. Chaos , vol.9 , pp. 1465-1466
    • Chen, G.1    Ueta, T.2
  • 3
    • 0036011505 scopus 로고    scopus 로고
    • A new chaotic attractor coined
    • 1063.34510 10.1142/S0218127402004620
    • J. Lü G. Chen 2002 A new chaotic attractor coined Int. J. Bifurc. Chaos 12 659 661 1063.34510 10.1142/S0218127402004620
    • (2002) Int. J. Bifurc. Chaos , vol.12 , pp. 659-661
    • Lü, J.1    Chen, G.2
  • 4
    • 18144402417 scopus 로고    scopus 로고
    • Analysis of a new chaotic system
    • 10.1016/j.physa.2004.12.040
    • G. Qi G. Chen S. Du Z. Chen Z. Yuan 2005 Analysis of a new chaotic system Physica A 352 295 308 10.1016/j.physa.2004.12.040
    • (2005) Physica A , vol.352 , pp. 295-308
    • Qi, G.1    Chen, G.2    Du, S.3    Chen, Z.4    Yuan, Z.5
  • 5
    • 33751234196 scopus 로고    scopus 로고
    • A novel hyperchaos system only with one equilibrium
    • 2287760 10.1016/j.physleta.2006.08.085
    • Z. Chen Y. Yang G. Qi Z. Yuan 2007 A novel hyperchaos system only with one equilibrium Phys. Lett. A 360 696 701 2287760 10.1016/j.physleta.2006.08.085
    • (2007) Phys. Lett. A , vol.360 , pp. 696-701
    • Chen, Z.1    Yang, Y.2    Qi, G.3    Yuan, Z.4
  • 6
    • 67349148897 scopus 로고    scopus 로고
    • 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system
    • 1204.70021 10.1007/s11071-008-9417-4
    • L. Wang 2009 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system Nonlinear Dyn. 56 453 462 1204.70021 10.1007/s11071-008-9417-4
    • (2009) Nonlinear Dyn. , vol.56 , pp. 453-462
    • Wang, L.1
  • 7
    • 63849188557 scopus 로고    scopus 로고
    • Yet another 3D quadratic autonomous system generating three-wing and four-wing chaotic attractors
    • 013107 2513755 10.1063/1.3070648
    • L. Wang 2009 Yet another 3D quadratic autonomous system generating three-wing and four-wing chaotic attractors Chaos 19 013107 2513755 10.1063/1.3070648
    • (2009) Chaos , vol.19
    • Wang, L.1
  • 8
    • 77953358076 scopus 로고    scopus 로고
    • A new type of four-wing chaotic attractors in 3-D quadratic autonomous systems
    • 1189.34100 10.1007/s11071-009-9607-8
    • Z. Wang G. Qi Y. Sun M.A. van Wyk B.J. van Wyk 2010 A new type of four-wing chaotic attractors in 3-D quadratic autonomous systems Nonlinear Dyn. 60 443 457 1189.34100 10.1007/s11071-009-9607-8
    • (2010) Nonlinear Dyn. , vol.60 , pp. 443-457
    • Wang, Z.1    Qi, G.2    Sun, Y.3    Van Wyk, M.A.4    Van Wyk, B.J.5
  • 9
    • 78049530202 scopus 로고    scopus 로고
    • Analysis of a new 3D smooth autonomous system with different wing chaotic attractors and transient chaos
    • 2737002 05841014 10.1007/s11071-010-9726-2
    • S. Dadras H. Momeni G. Qi 2010 Analysis of a new 3D smooth autonomous system with different wing chaotic attractors and transient chaos Nonlinear Dyn. 62 391 405 2737002 05841014 10.1007/s11071-010-9726-2
    • (2010) Nonlinear Dyn. , vol.62 , pp. 391-405
    • Dadras, S.1    Momeni, H.2    Qi, G.3
  • 10
    • 75149118777 scopus 로고    scopus 로고
    • Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system
    • 10.1016/j.physleta.2010.01.030
    • S. Dadras H. Momeni 2010 Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system Phys. Lett. A 374 1368 1373 10.1016/j.physleta.2010.01.030
    • (2010) Phys. Lett. A , vol.374 , pp. 1368-1373
    • Dadras, S.1    Momeni, H.2
  • 11
    • 77953558703 scopus 로고    scopus 로고
    • Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system
    • 060506 10.1088/1674-1056/19/6/060506
    • S. Dadras H. Momeni 2010 Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system Chin. Phys. B 19 060506 10.1088/1674-1056/19/6/060506
    • (2010) Chin. Phys. B , vol.19
    • Dadras, S.1    Momeni, H.2
  • 12
    • 67650999692 scopus 로고    scopus 로고
    • Analysis and control for a new chaotic system via piecewise linear feedback
    • 1198.93023 10.1016/j.chaos.2009.03.158
    • J. Zhang W. Tang 2009 Analysis and control for a new chaotic system via piecewise linear feedback Chaos Solitons Fractals 42 2181 2190 1198.93023 10.1016/j.chaos.2009.03.158
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 2181-2190
    • Zhang, J.1    Tang, W.2
  • 13
    • 70450237361 scopus 로고    scopus 로고
    • Control and synchronization for a class of new chaotic systems via linear feedback
    • 2514331 1183.70075 10.1007/s11071-009-9509-9
    • J. Zhang W. Tang 2009 Control and synchronization for a class of new chaotic systems via linear feedback Nonlinear Dyn. 58 675 686 2514331 1183.70075 10.1007/s11071-009-9509-9
    • (2009) Nonlinear Dyn. , vol.58 , pp. 675-686
    • Zhang, J.1    Tang, W.2
  • 14
    • 70350343545 scopus 로고    scopus 로고
    • Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions
    • 2557684 1176.93033 10.1016/j.jmaa.2009.03.041
    • F. Xu P. Yu 2010 Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions J. Math. Anal. Appl. 362 252 274 2557684 1176.93033 10.1016/j.jmaa.2009.03.041
    • (2010) J. Math. Anal. Appl. , vol.362 , pp. 252-274
    • Xu, F.1    Yu, P.2
  • 15
    • 78049481218 scopus 로고    scopus 로고
    • A chaotic system with Hölder continuity
    • 2745938 1215.37026 10.1007/s11071-010-9760-0
    • J. Zhang W. Tang 2010 A chaotic system with Hölder continuity Nonlinear Dyn. 62 761 768 2745938 1215.37026 10.1007/s11071-010-9760-0
    • (2010) Nonlinear Dyn. , vol.62 , pp. 761-768
    • Zhang, J.1    Tang, W.2
  • 16
    • 0035640984 scopus 로고    scopus 로고
    • Bound for attractors and the existence of homoclinic orbit in the Lorenz system
    • 1830478 10.1016/S0021-8928(01)00004-1
    • G. Leonov 2001 Bound for attractors and the existence of homoclinic orbit in the Lorenz system J. Appl. Math. Mech. 65 19 32 1830478 10.1016/S0021- 8928(01)00004-1
    • (2001) J. Appl. Math. Mech. , vol.65 , pp. 19-32
    • Leonov, G.1
  • 17
    • 67651219016 scopus 로고    scopus 로고
    • Estimating the ultimate bound and positively invariant set for a new chaotic system and its application in chaos synchronization
    • 1198.93152 10.1016/j.chaos.2009.04.003
    • Y. Shu H. Xu Y. Zhao 2009 Estimating the ultimate bound and positively invariant set for a new chaotic system and its application in chaos synchronization Chaos Solitons Fractals 42 2852 2857 1198.93152 10.1016/j.chaos.2009.04.003
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 2852-2857
    • Shu, Y.1    Xu, H.2    Zhao, Y.3
  • 18
    • 33750613088 scopus 로고    scopus 로고
    • On the global basin of attraction and positively invariant set for the Lorenz chaotic system and its application in chaos control and synchronization
    • X. Liao 2004 On the global basin of attraction and positively invariant set for the Lorenz chaotic system and its application in chaos control and synchronization Sci. China Ser. E 34 1404 1419
    • (2004) Sci. China Ser. e , vol.34 , pp. 1404-1419
    • Liao, X.1
  • 19
    • 33750606677 scopus 로고    scopus 로고
    • Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system
    • 2260147 1104.37024 10.1016/j.jmaa.2005.11.008
    • D. Li J. Lu X. Wu G. Chen 2006 Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system J. Math. Anal. Appl. 323 844 853 2260147 1104.37024 10.1016/j.jmaa.2005.11.008
    • (2006) J. Math. Anal. Appl. , vol.323 , pp. 844-853
    • Li, D.1    Lu, J.2    Wu, X.3    Chen, G.4
  • 20
    • 40849098833 scopus 로고    scopus 로고
    • A butterfly-shaped localization set for the Lorenz attractor
    • 2405991 1220.37013 10.1016/j.physleta.2007.11.067
    • M. Suzuki N. Sakamoto T. Yasukochi 2008 A butterfly-shaped localization set for the Lorenz attractor Phys. Lett. A 372 2614 2617 2405991 1220.37013 10.1016/j.physleta.2007.11.067
    • (2008) Phys. Lett. A , vol.372 , pp. 2614-2617
    • Suzuki, M.1    Sakamoto, N.2    Yasukochi, T.3
  • 21
    • 77949491885 scopus 로고    scopus 로고
    • Bounds of the hyper-chaotic Lorenz-Stenflo system
    • 2602736 1222.37036 10.1016/j.cnsns.2009.09.015
    • P. Wang D. Li Q. Hu 2010 Bounds of the hyper-chaotic Lorenz-Stenflo system Commun. Nonlinear Sci. Numer. Simul. 15 2514 2520 2602736 1222.37036 10.1016/j.cnsns.2009.09.015
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 2514-2520
    • Wang, P.1    Li, D.2    Hu, Q.3
  • 22
    • 68049144648 scopus 로고    scopus 로고
    • A hyperchaotic system from a chaotic system with one saddle and two stable node-foci
    • 2548384 1179.37054 10.1016/j.jmaa.2009.06.051
    • Q. Yang Y. Liu 2009 A hyperchaotic system from a chaotic system with one saddle and two stable node-foci J. Math. Anal. Appl. 360 293 306 2548384 1179.37054 10.1016/j.jmaa.2009.06.051
    • (2009) J. Math. Anal. Appl. , vol.360 , pp. 293-306
    • Yang, Q.1    Liu, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.