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Volumn 63, Issue 1-2, 2011, Pages 263-275

Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control

Author keywords

(Anti )synchronization; Adaptive control; Chaotic systems; Different structure; Fully uncertain parameters

Indexed keywords

(ANTI-)SYNCHRONIZATION; ADAPTIVE CONTROL; ADAPTIVE LAWS; ADAPTIVE SYNCHRONIZATIONS; ANALYTIC EXPRESSIONS; DIFFERENT STRUCTURE; LYAPUNOV STABILITY THEORY; MATHEMATICAL EXPRESSIONS; MEAN SQUARED ERROR; NOISE IMMUNITY; UNCERTAIN PARAMETERS;

EID: 78650778640     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9802-7     Document Type: Article
Times cited : (63)

References (41)
  • 1
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • 10.1103/PhysRevLett.64.821 1038263
    • L.M. Pecora T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 8 821 824 10.1103/PhysRevLett.64.821 1038263
    • (1990) Phys. Rev. Lett. , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 2
    • 0000929946 scopus 로고    scopus 로고
    • Generalized synchronization, predictability and equivalence of unidirectionally coupled systems
    • 10.1103/PhysRevLett.76.1816
    • L. Kocarev U. Parlitz 1996 Generalized synchronization, predictability and equivalence of unidirectionally coupled systems Phys. Rev. Lett. 76 11 1816 1819 10.1103/PhysRevLett.76.1816
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.11 , pp. 1816-1819
    • Kocarev, L.1    Parlitz, U.2
  • 3
    • 15044359758 scopus 로고    scopus 로고
    • Phase synchronization in unidirectionally coupled chaotic ratchets
    • DOI 10.1063/1.1803673
    • U.E. Vincent A.N. Njah O. Akinlade A.R.T. Solarin 2004 Phase synchronization in unidirectionally coupled chaotic ratchets Chaos 14 4 1018 1025 1080.37039 10.1063/1.1803673 2106516 (Pubitemid 40382386)
    • (2004) Chaos , vol.14 , Issue.4 , pp. 1018-1025
    • Vincent, U.E.1    Njah, A.N.2    Akinlade, O.3    Solarin, A.R.T.4
  • 4
    • 0031548743 scopus 로고    scopus 로고
    • From phase to lag synchronization in coupled chaotic oscillators
    • M.G. Rosenblum A.S. Pikovsky J. Kurths 1997 From phase to lag synchronization in coupled chaotic oscillators Phys. Rev. Lett. 78 22 4193 4196 10.1103/PhysRevLett.78.4193 (Pubitemid 127655459)
    • (1997) Physical Review Letters , vol.78 , Issue.22 , pp. 4193-4196
    • Rosenblum, M.G.1    Pikovsky, A.S.2    Kurths, J.3
  • 5
    • 31144438685 scopus 로고    scopus 로고
    • Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems-A symbolic-numeric computation approach
    • DOI 10.1063/1.1876612, 023902
    • Z.Y. Yan 2005 Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic system-A symbolic-numeric computation approach Chaos 15 023902 0239029 10.1063/1.1876612 2150228 (Pubitemid 43127619)
    • (2005) Chaos , vol.15 , Issue.2 , pp. 1-9
    • Yan, Z.1
  • 6
    • 0002959919 scopus 로고    scopus 로고
    • Synchronization of two Lorenz systems using active control
    • 1079.37515 10.1016/S0960-0779(96)00060-4
    • E.W. Bai E.E. Lonngran 1997 Synchronization of two Lorenz systems using active control Chaos Solitons Fractals 8 1 51 58 1079.37515 10.1016/S0960- 0779(96)00060-4
    • (1997) Chaos Solitons Fractals , vol.8 , Issue.1 , pp. 51-58
    • Bai, E.W.1    Lonngran, E.E.2
  • 7
    • 21744449163 scopus 로고    scopus 로고
    • Synchronization of Rikitake chaotic attractor using active control
    • DOI 10.1016/j.physleta.2005.06.003, PII S0375960105008327
    • U.E. Vincent 2005 Synchronization of Rikitake chaotic attractor using active control Phys. Lett. A 343 133 138 1194.34091 10.1016/j.physleta.2005.06. 003 (Pubitemid 40941637)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.343 , Issue.1-3 , pp. 133-138
    • Vincent, U.E.1
  • 8
    • 52049085749 scopus 로고    scopus 로고
    • ∞ synchronization of time-delayed chaotic systems
    • 1152.93027 10.1016/j.amc.2008.06.012 2458352
    • ∞ synchronization of time-delayed chaotic systems Appl. Math. Comput. 204 1 170 177 1152.93027 10.1016/j.amc.2008.06.012 2458352
    • (2008) Appl. Math. Comput. , vol.204 , Issue.1 , pp. 170-177
    • Park Ju, H.1    Ji, D.H.2    Won, S.C.3    Lee, S.M.4
  • 9
    • 72249086058 scopus 로고    scopus 로고
    • ∞ approach to anti-synchronization for chaotic systems
    • 10.1016/j.physleta.2009.03.032 2517615
    • ∞ approach to anti-synchronization for chaotic systems Phys. Lett. A 373 1729 1733 10.1016/j.physleta.2009.03.032 2517615
    • (2009) Phys. Lett. A , vol.373 , pp. 1729-1733
    • Choon, K.A.1
  • 10
    • 65349124119 scopus 로고    scopus 로고
    • ∞ synchronization of unified chaotic systems
    • 1179.37123 10.1142/S021798490901934X 2523577
    • ∞ synchronization of unified chaotic systems Modern Phys. Lett. B 23 1157 1169 1179.37123 10.1142/S021798490901934X 2523577
    • (2009) Modern Phys. Lett. B , vol.23 , pp. 1157-1169
    • Park Ju, H.1    Ji, D.H.2    Won, S.C.3    Lee, S.M.4
  • 11
    • 0001399571 scopus 로고    scopus 로고
    • Anticipating chaotic synchronization
    • 10.1103/PhysRevE.61.5115
    • H.U. Voss 2000 Anticipating chaotic synchronization Phys. Rev. E 61 5 5115 5119 10.1103/PhysRevE.61.5115
    • (2000) Phys. Rev. e , vol.61 , Issue.5 , pp. 5115-5119
    • Voss, H.U.1
  • 12
    • 36148950168 scopus 로고    scopus 로고
    • Exponential synchronization of the Genesio-Tesi chaotic system via a novel feedback control
    • DOI 10.1088/0031-8949/76/6/004, PII S0031894906476064
    • Ju H. Park 2007 Exponential synchronization of the Genesio-Tesi chaotic system via a novel feedback control Phys. Scr. 76 6 617 622 1134.81372 10.1088/0031-8949/76/6/004 (Pubitemid 350115887)
    • (2007) Physica Scripta , vol.76 , Issue.6 , pp. 617-622
    • Park, J.H.1
  • 13
    • 0032155291 scopus 로고    scopus 로고
    • Adaptive synchronization of two Lorenz systems
    • 1047.37502 10.1016/S0960-0779(97)00161-6
    • T.L. Liao 1998 Adaptive synchronization of two Lorenz systems Chaos Solitons Fractals 9 1555 1561 1047.37502 10.1016/S0960-0779(97)00161-6
    • (1998) Chaos Solitons Fractals , vol.9 , pp. 1555-1561
    • Liao, T.L.1
  • 14
    • 68249155204 scopus 로고    scopus 로고
    • Anti-synchronization of Liu system and Lorenz system with known or unknown parameters
    • 1176.70037 10.1007/s11071-008-9452-1 2520221
    • Z.L. Wang X.R. Shi 2009 Anti-synchronization of Liu system and Lorenz system with known or unknown parameters Nonlinear Dyn. 57 425 430 1176.70037 10.1007/s11071-008-9452-1 2520221
    • (2009) Nonlinear Dyn. , vol.57 , pp. 425-430
    • Wang, Z.L.1    Shi, X.R.2
  • 16
    • 53949123366 scopus 로고    scopus 로고
    • Chaos synchronization between two novel different hyperchaotic systems with unknown parameters
    • 1161.34338 10.1016/j.na.2007.10.045 2463363
    • J. Huang 2008 Chaos synchronization between two novel different hyperchaotic systems with unknown parameters Nonlinear Anal. 69 11 4174 4181 1161.34338 10.1016/j.na.2007.10.045 2463363
    • (2008) Nonlinear Anal. , vol.69 , Issue.11 , pp. 4174-4181
    • Huang, J.1
  • 17
    • 18844368833 scopus 로고    scopus 로고
    • Adaptive synchronization of hyperchaotic Chen system with uncertain parameters
    • DOI 10.1016/j.chaos.2005.02.002, PII S0960077905001736
    • Ju H. Park 2005 Adaptive synchronization of hyperchaotic Chen system with uncertain parameters Chaos Solitons Fractals 26 959 964 1093.93537 10.1016/j.chaos.2005.02.002 2145432 (Pubitemid 40682527)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.3 , pp. 959-964
    • Park, J.H.1
  • 18
    • 17844366331 scopus 로고    scopus 로고
    • Adaptive synchronization of a unified chaotic systems with an uncertain parameter
    • Ju H. Park 2005 Adaptive synchronization of a unified chaotic systems with an uncertain parameter Int. J. Nonlinear Sci. Numer. Simul. 6 2 201 206
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 201-206
    • Park Ju, H.1
  • 19
    • 77955770836 scopus 로고    scopus 로고
    • Adaptive synchronization of identical chaotic and hyper-chaotic systems with uncertain parameters
    • 10.1016/j.nonrwa.2009.06.011
    • X.F. Li Andrew C.S. Leung X.J. Liu X.P. Han Y.D. Chu 2009 Adaptive synchronization of identical chaotic and hyper-chaotic systems with uncertain parameters Nonlinear Anal. 10.1016/j.nonrwa.2009.06.011
    • (2009) Nonlinear Anal.
    • Li, X.F.1    Leung Andrew, C.S.2    Liu, X.J.3    Han, X.P.4    Chu, Y.D.5
  • 20
    • 31144433846 scopus 로고    scopus 로고
    • Adaptive synchronization between two different chaotic systems with unknown parameters
    • DOI 10.1016/j.physleta.2005.10.033, PII S0375960105015999
    • H.G. Zhang H. Wei Z.L. Wang T.Y. Chai 2006 Adaptive synchronization between two different chaotic systems with uncertain parameters Phys. Lett. A 350 363 366 1195.93121 10.1016/j.physleta.2005.10.033 (Pubitemid 43129366)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.350 , Issue.5-6 , pp. 363-366
    • Zhang, H.1    Huang, W.2    Wang, Z.3    Chai, T.4
  • 21
    • 34247115066 scopus 로고    scopus 로고
    • Adaptive controller design for modified projective synchronization of Genesio-Tesi chaotic system with uncertain parameters
    • DOI 10.1016/j.chaos.2006.04.053, PII S0960077906004310
    • Ju H. Park 2007 Adaptive controller design for modified projective synchronization of Genesio-Tesi chaotic system with uncertain parameters Chaos Solitons Fractals 34 1154 1159 1142.93428 10.1016/j.chaos.2006.04.053 2331272 (Pubitemid 46601950)
    • (2007) Chaos, Solitons and Fractals , vol.34 , Issue.4 , pp. 1154-1159
    • Park, J.H.1
  • 22
    • 35748960816 scopus 로고    scopus 로고
    • Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control
    • 10.1016/j.physleta.2007.06.020 2287792
    • Ju H. Park S.M. Lee O.M. Kwon 2007 Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control Phys. Lett. A 371 4 263 270 10.1016/j.physleta.2007.06.020 2287792
    • (2007) Phys. Lett. A , vol.371 , Issue.4 , pp. 263-270
    • Park Ju, H.1    Lee, S.M.2    Kwon, O.M.3
  • 23
    • 30644480295 scopus 로고    scopus 로고
    • Adaptive chaos control and synchronization for uncertain new chaotic dynamical system
    • DOI 10.1016/j.physleta.2005.09.076, PII S0375960105015379
    • M.T. Yassen 2006 Adaptive chaos control and synchronization for uncertain new chaotic dynamical system Phys. Lett. A 350 36 43 1195.34092 10.1016/j.physleta.2005.09.076 (Pubitemid 43087665)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.350 , Issue.1-2 , pp. 36-43
    • Yassen, M.T.1
  • 24
    • 34248357177 scopus 로고    scopus 로고
    • Adaptive synchronization of chaotic systems with unknown bounded uncertainties via backstepping approach
    • DOI 10.1007/s11071-006-9103-3
    • S. Bowong 2007 Adaptive synchronization of chaotic systems with unknown bounded uncertainties via backstepping approach Nonlinear Dyn. 49 59 70 1181.70043 10.1007/s11071-006-9103-3 2323199 (Pubitemid 46739702)
    • (2007) Nonlinear Dynamics , vol.49 , Issue.1-2 , pp. 59-70
    • Bowong, S.1
  • 25
    • 56749160098 scopus 로고    scopus 로고
    • Chaos synchronization of two different chaotic complex Chen and Lü systems
    • 1170.70011 10.1007/s11071-008-9343-5
    • G.M. Mahmoud T. Bountis G.M. AbdEl-atif E.E. Mahmoud 2009 Chaos synchronization of two different chaotic complex Chen and Lü systems Nonlinear Dyn. 55 43 53 1170.70011 10.1007/s11071-008-9343-5
    • (2009) Nonlinear Dyn. , vol.55 , pp. 43-53
    • Mahmoud, G.M.1    Bountis, T.2    Abdel-Atif, G.M.3    Mahmoud, E.E.4
  • 26
    • 13544276567 scopus 로고    scopus 로고
    • Adaptive synchronization of Rossler system with uncertain parameters
    • DOI 10.1016/j.chaos.2004.12.007, PII S096007790400709X
    • Ju H. Park 2005 Adaptive synchronization of Rossler system with uncertain parameters Chaos Solitons Fractals 25 333 338 1125.93470 10.1016/j.chaos.2004. 12.007 (Pubitemid 40220233)
    • (2005) Chaos, Solitons and Fractals , vol.25 , Issue.2 , pp. 333-338
    • Park, J.H.1
  • 27
    • 61449185536 scopus 로고    scopus 로고
    • Practical adaptive synchronization of a class of uncertain chaotic systems
    • 1170.93330
    • B. Samuel J.J. Tewa 2009 Practical adaptive synchronization of a class of uncertain chaotic systems Nonlinear Dyn. 56 1-2 57 68 1170.93330
    • (2009) Nonlinear Dyn. , vol.56 , Issue.12 , pp. 57-68
    • Samuel, B.1    Tewa, J.J.2
  • 28
    • 44649088711 scopus 로고    scopus 로고
    • Adaptive synchronization between two different hyperchaotic systems
    • 1151.34041 10.1016/j.na.2006.12.028 2381675
    • X.Y. Wu Z.H. Guan Z.P. Wu 2008 Adaptive synchronization between two different hyperchaotic systems Nonlinear Anal. 68 5 1346 1351 1151.34041 10.1016/j.na.2006.12.028 2381675
    • (2008) Nonlinear Anal. , vol.68 , Issue.5 , pp. 1346-1351
    • Wu, X.Y.1    Guan, Z.H.2    Wu, Z.P.3
  • 29
    • 37549065538 scopus 로고    scopus 로고
    • Adaptive control for modified projective synchronization of a four-dimensional chaotic system with uncertain parameters
    • 1137.93035 10.1016/j.cam.2006.12.003
    • Ju H. Park 2008 Adaptive control for modified projective synchronization of a four-dimensional chaotic system with uncertain parameters J. Comput. Appl. Math. 213 1 288 293 1137.93035 10.1016/j.cam.2006.12.003
    • (2008) J. Comput. Appl. Math. , vol.213 , Issue.1 , pp. 288-293
    • Park Ju, H.1
  • 30
    • 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
  • 31
    • 62249200922 scopus 로고    scopus 로고
    • Yet another chaotic attractor
    • 0962.37013 10.1142/S0218127499001024 1729683
    • G.R. Chen T. Ueta 1999 Yet another chaotic attractor Int. J. Bifurc. Chaos 9 1465 1466 0962.37013 10.1142/S0218127499001024 1729683
    • (1999) Int. J. Bifurc. Chaos , vol.9 , pp. 1465-1466
    • Chen, G.R.1    Ueta, T.2
  • 33
    • 38649114696 scopus 로고    scopus 로고
    • Analysis of a 3D chaotic system
    • DOI 10.1016/j.chaos.2006.07.052, PII S0960077906007958
    • G. Tigan D. Opris 2008 Analysis of a 3D chaotic system Chaos Solitons Fractals 36 5 1315 1319 1148.37027 10.1016/j.chaos.2006.07.052 2388973 (Pubitemid 351172780)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.5 , pp. 1315-1319
    • Tigan, G.1    Opris, D.2
  • 34
    • 67649378978 scopus 로고    scopus 로고
    • Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor
    • 1198.37048 10.1016/j.chaos.2008.09.011
    • X.F. Li Y.D. Chu J.G. Zhang Y.X. Chang 2009 Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor Chaos Solitons Fractals 41 5 2360 2370 1198.37048 10.1016/j.chaos.2008.09.011
    • (2009) Chaos Solitons Fractals , vol.41 , Issue.5 , pp. 2360-2370
    • Li, X.F.1    Chu, Y.D.2    Zhang, J.G.3    Chang, Y.X.4
  • 36
    • 10844273950 scopus 로고    scopus 로고
    • A comparison of correlation and Lyapunov dimensions
    • 10.1016/j.physd.2004.10.006
    • K.E. Chlouverakis J.C. Sprott 2004 A comparison of correlation and Lyapunov dimensions Physica D 200 156 164 10.1016/j.physd.2004.10.006
    • (2004) Physica D , vol.200 , pp. 156-164
    • Chlouverakis, K.E.1    Sprott, J.C.2
  • 37
    • 34548222516 scopus 로고    scopus 로고
    • Nonlinear dynamics analysis of a new autonomous chaotic system
    • DOI 10.1631/jzus.2007.A1408
    • Y.D. Chu X.F. Li J.G. Zhang Y.X. Chang 2007 Nonlinear dynamics analysis of a new autonomous chaotic system J. Zhejiang Univ. (Ser. A) 8 9 1408 1413 1128.37023 10.1631/jzus.2007.A1408 (Pubitemid 47329195)
    • (2007) Journal of Zhejiang University: Science A , vol.8 , Issue.9 , pp. 1408-1413
    • Chu, Y.-D.1    Li, X.-F.2    Zhang, J.-G.3    Chang, Y.-X.4
  • 38
    • 60749118352 scopus 로고    scopus 로고
    • Synchronization of uncertain hyperchaotic and chaotic systems by adaptive control
    • 1165.34371 10.1142/S0218127408022688 2502512
    • Z.Y. Liu C.J. Liu M.C. Ho, et al. 2008 Synchronization of uncertain hyperchaotic and chaotic systems by adaptive control Int. J. Bifurc. Chaos 18 12 3731 3736 1165.34371 10.1142/S0218127408022688 2502512
    • (2008) Int. J. Bifurc. Chaos , vol.18 , Issue.12 , pp. 3731-3736
    • Liu, Z.Y.1    Liu, C.J.2    Ho, M.C.3
  • 39
    • 37649026967 scopus 로고    scopus 로고
    • Chaos-based secure communications in a large community
    • 1002.37022
    • S. Wang J. Kuang J. Li, et al. 2002 Chaos-based secure communications in a large community Phys. Rev. E 66 1 4 1002.37022
    • (2002) Phys. Rev. e , vol.66 , pp. 1-4
    • Wang, S.1    Kuang, J.2    Li, J.3
  • 40
    • 2442614717 scopus 로고    scopus 로고
    • Stability analysis for the synchronization of chaotic systems with different order: Application to secure communications
    • 1161.94389 10.1016/j.physleta.2004.04.004 2065892
    • B. Samuel 2004 Stability analysis for the synchronization of chaotic systems with different order: Application to secure communications Phys. Lett. A 326 102 113 1161.94389 10.1016/j.physleta.2004.04.004 2065892
    • (2004) Phys. Lett. A , vol.326 , pp. 102-113
    • Samuel, B.1
  • 41
    • 0013261906 scopus 로고    scopus 로고
    • Communicating with optical hyperchaos: information encryption and decryption in delayed nonlinear feedback systems
    • DOI 10.1103/PhysRevLett.86.1892
    • V.S. Udaltsov J.P. Goedgebuer L. Largeer, et al. 2001 Communicating with optical hyperchaos: Information encryption and decryption in delayed nonlinear feedback systems Phys. Rev. Lett. 86 1892 1895 10.1103/PhysRevLett.86.1892 (Pubitemid 32252803)
    • (2001) Physical Review Letters , vol.86 , Issue.9 , pp. 1892-1895
    • Udaltsov, V.S.1    Goedgebuer, J.-P.2    Larger, L.3    Rhodes, W.T.4


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