메뉴 건너뛰기




Volumn 55, Issue 3, 2006, Pages 223-231

Chaos synchronization for a class of discrete dynamical systems on the N-dimensional torus

Author keywords

Chaos synchronization; Chaotic dynamical system; Cryptography; Ergodicity; N torus; Switched systems

Indexed keywords

CHAOS THEORY; CRYPTOGRAPHY; INFORMATION THEORY; MATHEMATICAL TRANSFORMATIONS; SYNCHRONIZATION;

EID: 30844470021     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.07.003     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 0036209055 scopus 로고    scopus 로고
    • Lie-algebraic stability criteria for switched systems
    • A. Agrachev, and D. Liberzon Lie-algebraic stability criteria for switched systems SIAM J. Control Optim. 40 1 2001 253 269 (electronic)
    • (2001) SIAM J. Control Optim. , vol.40 , Issue.1 , pp. 253-269
    • Agrachev, A.1    Liberzon, D.2
  • 7
    • 0003195540 scopus 로고
    • Introduction to the modern theory of dynamical systems
    • Cambridge University Press, Cambridge (With a supplementary chapter by A. Katok, L. Mendoza)
    • A. Katok, B. Hasselblatt, Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its Applications, vol. 54, Cambridge University Press, Cambridge, 1995 (With a supplementary chapter by A. Katok, L. Mendoza).
    • (1995) Encyclopedia of Mathematics and Its Applications , vol.54
    • Katok, A.1    Hasselblatt, B.2
  • 10
    • 0028375708 scopus 로고
    • On global identifiability for arbitrary model parametrizations
    • L. Ljung, and T. Glad On global identifiability for arbitrary model parametrizations Automatica 30 1994 265 276
    • (1994) Automatica , vol.30 , pp. 265-276
    • Ljung, L.1    Glad, T.2
  • 11
    • 0347909351 scopus 로고
    • Contemporary cryptology: An introduction
    • G.J. Simmons IEEE Press New York
    • J.L. Massey Contemporary cryptology: an introduction G.J. Simmons Contemporary Cryptology 1992 IEEE Press New York
    • (1992) Contemporary Cryptology
    • Massey, J.L.1
  • 14
    • 0142165165 scopus 로고    scopus 로고
    • An observer-based approach for input independent global chaos synchronization of discrete-time switched systems
    • G. Millérioux, and J. Daafouz An observer-based approach for input independent global chaos synchronization of discrete-time switched systems IEEE Trans. Circuits Systems I: Fund. Theort. Appl. 50 10 2003 1270 1279
    • (2003) IEEE Trans. Circuits Systems I: Fund. Theort. Appl. , vol.50 , Issue.10 , pp. 1270-1279
    • Millérioux, G.1    Daafouz, J.2
  • 15
    • 3843104745 scopus 로고    scopus 로고
    • Input independent chaos synchronization of switched systems
    • G. Millérioux, and J. Daafouz Input independent chaos synchronization of switched systems IEEE Trans. Automat. Control 49 7 2004 1182 1187
    • (2004) IEEE Trans. Automat. Control , vol.49 , Issue.7 , pp. 1182-1187
    • Millérioux, G.1    Daafouz, J.2
  • 18
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L.M. Pecora, and T.L. Carroll Synchronization in chaotic systems Phys. Rev. Lett. 64 1990 821 824
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 19
    • 5344269568 scopus 로고
    • Driving systems with chaotic signals
    • L.M. Pecora, and T.L. Carroll Driving systems with chaotic signals Phys. Rev. A 44 8 1991 2374 2383
    • (1991) Phys. Rev. A , vol.44 , Issue.8 , pp. 2374-2383
    • Pecora, L.M.1    Carroll, T.L.2
  • 20
    • 0000210228 scopus 로고    scopus 로고
    • Volume-preserving and volume-expanding synchronized chaotic systems
    • L.M. Pecora, T.L. Carroll, G. Johnson, and D. Mar Volume-preserving and volume-expanding synchronized chaotic systems Phys. Rev. E 56 5 1997 5090 5100
    • (1997) Phys. Rev. e , vol.56 , Issue.5 , pp. 5090-5100
    • Pecora, L.M.1    Carroll, T.L.2    Johnson, G.3    Mar, D.4
  • 21
    • 30844453763 scopus 로고
    • Presses Universitaires de France, Paris, Le Mathématicien (collection SUP)
    • G. Rauzy, Propriétés statistiques de suites arithmétiques. Presses Universitaires de France, Paris, Le Mathématicien, vol. 15, 1976 (collection SUP).
    • (1976) Propriétés Statistiques de Suites Arithmétiques , vol.15
    • Rauzy, G.1
  • 22
    • 9644259097 scopus 로고    scopus 로고
    • Chaos synchronization on the n-torus and cryptography
    • L. Rosier, G. Millérioux, and G. Bloch Chaos synchronization on the n -torus and cryptography Comptes Rendus Mécanique 332 12 2004 969 972
    • (2004) Comptes Rendus Mécanique , vol.332 , Issue.12 , pp. 969-972
    • Rosier, L.1    Millérioux, G.2    Bloch, G.3
  • 23
    • 0032155827 scopus 로고    scopus 로고
    • On the distribution of synchronization times in coupled uniform piecewise-linear Markov maps
    • R. Rovatti, and G. Setti On the distribution of synchronization times in coupled uniform piecewise-linear Markov maps IEICE Trans. Fund. 81 9 1998 1769 1776
    • (1998) IEICE Trans. Fund. , vol.81 , Issue.9 , pp. 1769-1776
    • Rovatti, R.1    Setti, G.2
  • 24
    • 0035400742 scopus 로고    scopus 로고
    • Use of chaotic dynamical systems in cryptography
    • R. Schmitz Use of chaotic dynamical systems in cryptography J. Franklin Institute 338 2001 429 441
    • (2001) J. Franklin Institute , vol.338 , pp. 429-441
    • Schmitz, R.1
  • 25
    • 85008054356 scopus 로고    scopus 로고
    • Special Issue, Chaos synchronization and control: Theory and applications
    • Special Issue, Chaos synchronization and control: theory and applications, IEEE Trans. Circuits. Systems I: Fund. Theoret Appl. 44(10) (1997) 853-1039.
    • (1997) IEEE Trans. Circuits. Systems I: Fund. Theoret Appl. , vol.44 , Issue.10 , pp. 853-1039
  • 26
    • 0037924308 scopus 로고    scopus 로고
    • Special Issue, Control of chaos and synchronization
    • Special Issue, Control of chaos and synchronization, Systems Control Lett. 31 (1997) 259-322.
    • (1997) Systems Control Lett. , vol.31 , pp. 259-322
  • 27
    • 30844435431 scopus 로고    scopus 로고
    • Special Issue, Control and synchronization of chaos
    • Special Issue, Control and synchronization of chaos, Internat. J. Bifurcation Chaos 10(4) (2000).
    • (2000) Internat. J. Bifurcation Chaos , vol.10 , Issue.4
  • 28
    • 0003319133 scopus 로고
    • Lie groups, Lie algebras, and their representations
    • Springer, New York (reprint of the 1974 edition)
    • V.S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics, vol. 102, Springer, New York, 1984 (reprint of the 1974 edition).
    • (1984) Graduate Texts in Mathematics , vol.102
    • Varadarajan, V.S.1
  • 29
    • 9644271725 scopus 로고    scopus 로고
    • An introduction to topological dynamics in dimension one
    • E. Vesentini An introduction to topological dynamics in dimension one Rend. Sem. Mat. Univ. Politec. Torino 55 4 1999 303 357 Jacobian conjecture and dynamical systems, Torino, 1997
    • (1999) Rend. Sem. Mat. Univ. Politec. Torino , vol.55 , Issue.4 , pp. 303-357
    • Vesentini, E.1
  • 30
    • 0003294438 scopus 로고
    • An introduction to ergodic theory
    • Springer, New York
    • P. Walters, An Introduction to Ergodic Theory, Graduate Texts in Mathematics, vol. 79, Springer, New York, 1982.
    • (1982) Graduate Texts in Mathematics , vol.79
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.