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Volumn 7, Issue 7, 1997, Pages 1617-1634

Noninvertible piecewise linear maps applied to chaos synchronization and secure communications

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EID: 21944443605     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001254     Document Type: Article
Times cited : (7)

References (47)
  • 1
    • 0001775901 scopus 로고
    • Noninvertibility and the structure of basins of attraction in a model adaptive control system
    • Adomaitis, R. A. & Kevrekidis, I. G. [1991] "Noninvertibility and the structure of basins of attraction in a model adaptive control system," J. Nonlinear Sci. 1, 95-105.
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 95-105
    • Adomaitis, R.A.1    Kevrekidis, I.G.2
  • 2
    • 0027042823 scopus 로고
    • Global stability analysis of an adaptively-controlled mixing tank experiment
    • presented Chicago
    • Adomaitis, R. A., Frouzakis C. E. &: Kevrekidis, I. G. [1992] "Global stability analysis of an adaptively-controlled mixing tank experiment," presented at the 1992 American Control Conference, Chicago.
    • (1992) 1992 American Control Conference
    • Adomaitis, R.A.1    Frouzakis, C.E.2    Kevrekidis, I.G.3
  • 3
    • 21844489729 scopus 로고
    • Discrete reconstruction of strange attractors of Chua's circuit
    • Aguirre, L. A. & Billings, S. A. [1994] "Discrete reconstruction of strange attractors of Chua's circuit," Int. J. Bifurcation and Chaos 4(4), 853-864.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , Issue.4 , pp. 853-864
    • Aguirre, L.A.1    Billings, S.A.2
  • 5
    • 0029247560 scopus 로고
    • Communicating with use of filtered, synchronized, chaotic signals
    • Carroll, T. L. [1995] "Communicating with use of filtered, synchronized, chaotic signals," IEEE Trans. Circuits Syst. 42, 105-110.
    • (1995) IEEE Trans. Circuits Syst. , vol.42 , pp. 105-110
    • Carroll, T.L.1
  • 9
    • 12044251580 scopus 로고
    • Circuits implementation of synchronized chaos with applications to communications
    • Cuomo, K. M. & Oppenheim, A. V. [1993] "Circuits implementation of synchronized chaos with applications to communications," Phys. Rev. Lett. 71, 65-68.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 65-68
    • Cuomo, K.M.1    Oppenheim, A.V.2
  • 10
    • 0027696302 scopus 로고
    • Dynamic phenomena in chain interconnections of Chua's circuits, IEEE Trans
    • Dabrowski, A. M., Dabrowski, W. R. & Ogorzalek, M. J. [1993] "Dynamic phenomena in chain interconnections of Chua's circuits," IEEE Trans. Circuits Syst. 40, 868-871.
    • (1993) Circuits Syst. , vol.40 , pp. 868-871
    • Dabrowski, A.M.1    Dabrowski, W.R.2    Ogorzalek, M.J.3
  • 11
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann, J.-P. & Ruelle, D. [1985] "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617-626.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-626
    • Eckmann, J.-P.1    Ruelle, D.2
  • 12
    • 0000937020 scopus 로고
    • On the global bifurcation of two-dimensional endomorphisms by use of critical lines
    • Gardini, L. [1991a], "On the global bifurcation of two-dimensional endomorphisms by use of critical lines," Nonlin. Anal. T., M. & A. 18(4), 361-399.
    • (1991) Nonlin. Anal. T., M. & A. , vol.18 , Issue.4 , pp. 361-399
    • Gardini, L.1
  • 13
    • 0001946175 scopus 로고
    • Global analysis and bifurcations in two-dimensional endomorphisms by use of critical lines
    • Austria, September 1991 World Scientific
    • Gardini, L. [1991a], "Global analysis and bifurcations in two-dimensional endomorphisms by use of critical lines," Proc. ECIT (European conference on Iteration Theory) Batschuns, Austria, September 1991 (World Scientific, 1992), pp. 112-125.
    • (1991) Proc. ECIT (European Conference on Iteration Theory) Batschuns , pp. 112-125
    • Gardini, L.1
  • 15
    • 0001360617 scopus 로고
    • Bifurcation déstabilisant une solution chaotique d'un endomorphisme du 2nd ordre
    • Gumowski, I. & Mira, C. [1978], "Bifurcation déstabilisant une solution chaotique d'un endomorphisme du 2nd ordre," Comptes Rendus Acad. Sc. Paris, Série A 286, 427-431.
    • (1978) Comptes Rendus Acad. Sc. Paris, Série A , vol.286 , pp. 427-431
    • Gumowski, I.1    Mira, C.2
  • 18
    • 4444281406 scopus 로고
    • Analysis and synthesis of synchronous periodic and chaotic systems
    • He, R. & Vaidya, P. G. [1992] "Analysis and synthesis of synchronous periodic and chaotic systems," Phys. Rev. A46, 7387-7392.
    • (1992) Phys. Rev. , vol.A46 , pp. 7387-7392
    • He, R.1    Vaidya, P.G.2
  • 19
    • 0029388842 scopus 로고
    • Synchronization of a one-dimensional array of Chua's circuits by feedback control and noise
    • Hu, G., Pivka, L. & Zheleznyak, A. L. [1995] "Synchronization of a one-dimensional array of Chua's circuits by feedback control and noise," IEEE Trans. Circuits Syst. 42(10).
    • (1995) IEEE Trans. Circuits Syst. , vol.42 , Issue.10
    • Hu, G.1    Pivka, L.2    Zheleznyak, A.L.3
  • 21
    • 0000383132 scopus 로고
    • Mathematical description of linear systems
    • Kalman, R. E. [1963] "Mathematical description of linear systems," SIAM J. Control 1, 152-192.
    • (1963) SIAM J. Control , vol.1 , pp. 152-192
    • Kalman, R.E.1
  • 23
    • 0018727610 scopus 로고
    • New results in realization theory for linear time-varying analytic systems
    • Kamen, E. W. [1979] "New results in realization theory for linear time-varying analytic systems," IEEE Trans. Automat. Control AC-24, 866-878.
    • (1979) IEEE Trans. Automat. Control , vol.AC-24 , pp. 866-878
    • Kamen, E.W.1
  • 24
    • 0018494435 scopus 로고
    • Algebraic theory of linear time-varying systems
    • Kamen, E. W. & Hafez, K. M. [1979] "Algebraic theory of linear time-varying systems," SIAM J. Contr. Optim. 17, 500-510.
    • (1979) SIAM J. Contr. Optim. , vol.17 , pp. 500-510
    • Kamen, E.W.1    Hafez, K.M.2
  • 25
    • 0000072208 scopus 로고
    • Experimental demonstration of secure communications via chaotic synchronization
    • Kocarev, Lj., Halle, K. S., Eckert, K. & Chua, L. O. [1992] "Experimental demonstration of secure communications via chaotic synchronization," Int. J. Bifurcation and Chaos 2(3), 709-713.
    • (1992) Int. J. Bifurcation and Chaos , vol.2 , Issue.3 , pp. 709-713
    • Kocarev, L.1    Halle, K.S.2    Eckert, K.3    Chua, L.O.4
  • 26
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz, E. N. [1963] "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 27
    • 26644453439 scopus 로고
    • Secure communications via chaotic synchronization II: Noise reduction by cascading two identical receivers
    • Lozi, R. & Chua, L. O. [1993] "Secure communications via chaotic synchronization II: Noise reduction by cascading two identical receivers," Int. J. Bifurcation and Chaos 2(4), 973-977.
    • (1993) Int. J. Bifurcation and Chaos , vol.2 , Issue.4 , pp. 973-977
    • Lozi, R.1    Chua, L.O.2
  • 28
    • 0030627422 scopus 로고
    • Homoclinic and heteroclinic situations specific to two-dimensional noninvertible maps
    • Millerioux, G. & Mira, C. [1977] "Homoclinic and heteroclinic situations specific to two-dimensional noninvertible maps," Int. J. Bifurcation and Chaos 7(1), 39-70.
    • (1977) Int. J. Bifurcation and Chaos , vol.7 , Issue.1 , pp. 39-70
    • Millerioux, G.1    Mira, C.2
  • 29
    • 0003805342 scopus 로고
    • World Scientific, Singapore
    • Mira, C. [1987] Chaotic Dynamics (World Scientific, Singapore).
    • (1987) Chaotic Dynamics
    • Mira, C.1
  • 31
    • 21344481049 scopus 로고
    • On two behaviours of two-dimensional endomorphisms: Role of the critical curves
    • Mira, C. & Narayaninsamy, T. [1993] "On two behaviours of two-dimensional endomorphisms: Role of the critical curves," Int. J. Bifurcation and Chaos 3(1), 187-194.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.1 , pp. 187-194
    • Mira, C.1    Narayaninsamy, T.2
  • 37
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 38
    • 5344269568 scopus 로고
    • Driving systems with chaotic signals
    • Pecora, L. M. & Carroll, T. L. [1991] "Driving systems with chaotic signals," Phys. Rev. A44, 2374-2383.
    • (1991) Phys. Rev. , vol.A44 , pp. 2374-2383
    • Pecora, L.M.1    Carroll, T.L.2
  • 39
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • Rossler, O. E. [1976] "An equation for continuous chaos," Phys. Lett. A57, 397-399.
    • (1976) Phys. Lett. , vol.A57 , pp. 397-399
    • Rossler, O.E.1
  • 41
    • 0038906504 scopus 로고
    • Stability criterion for nonlinear discrete systems
    • Rozenvasser, [1967] "Stability criterion for nonlinear discrete systems," Avtomatika i Telemecanika 12, 58-69.
    • (1967) Avtomatika i Telemecanika , vol.12 , pp. 58-69
    • Rozenvasser1
  • 43
    • 0008088350 scopus 로고
    • Steps toward unmasking secure communications
    • Short, K. M. [1994] "Steps toward unmasking secure communications," Int. J. Bifurcation and Chaos 4(4), 959-977.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , Issue.4 , pp. 959-977
    • Short, K.M.1
  • 44
    • 0002642971 scopus 로고
    • Controllability and observability in time-variable linear systems
    • Silverman, L. M. & Meadows, H. E. [1967] "Controllability and observability in time-variable linear systems," SIAM J. Control 5, 64-73.
    • (1967) SIAM J. Control , vol.5 , pp. 64-73
    • Silverman, L.M.1    Meadows, H.E.2
  • 45
    • 0011224204 scopus 로고
    • A simple way to synchronize chaotic systems with applications to secure communication systems
    • Wu, C. W. & Chua, L. O. [1993] "A simple way to synchronize chaotic systems with applications to secure communication systems," Int. J. Bifurcation and Chaos 3(6), 1619-1627.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.6 , pp. 1619-1627
    • Wu, C.W.1    Chua, L.O.2
  • 46
    • 0041988793 scopus 로고
    • A unified framework for synchronization and control of dynamical systems
    • Wu, C. W. & Chua, L. O. [1994] "A unified framework for synchronization and control of dynamical systems," Int. J. Bifurcation and Chaos 4(4), 979-998.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , Issue.4 , pp. 979-998
    • Wu, C.W.1    Chua, L.O.2
  • 47
    • 0029358909 scopus 로고
    • Synchronization in an array of linearly coupled dynamical systems
    • Wu, C. W. & Chua, L. O. [1995] "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. Circuits Syst. 42, 430-447.
    • (1995) IEEE Trans. Circuits Syst. , vol.42 , pp. 430-447
    • Wu, C.W.1    Chua, L.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.