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Volumn 6, Issue 8, 1996, Pages 1563-1573

Probabilistic control of chaos: The β-adic Renyi map under control

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Indexed keywords


EID: 0030207776     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496000928     Document Type: Article
Times cited : (12)

References (25)
  • 3
    • 0001338733 scopus 로고
    • From probabilistic description to deterministic dynamics
    • Antoniou, I. & Gustafson, K. [1993] "From probabilistic description to deterministic dynamics," Physica A197, 153-166.
    • (1993) Physica , vol.A197 , pp. 153-166
    • Antoniou, I.1    Gustafson, K.2
  • 5
    • 84990727688 scopus 로고
    • Generalized spectral decompositions of mixing dynamical systems
    • Antoniou, I. & Tasaki, S. [1993a] "Generalized spectral decompositions of mixing dynamical systems," Int. J. Quantum Chemistry 46, 425-474.
    • (1993) Int. J. Quantum Chemistry , vol.46 , pp. 425-474
    • Antoniou, I.1    Tasaki, S.2
  • 6
    • 17844380546 scopus 로고
    • Spectral decomposition of the Renyi map
    • Antoniou, I. & Tasaki, S. [1993b] "Spectral decomposition of the Renyi map," J. Phys. A: Math. Gen. 26, 73-94.
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 73-94
    • Antoniou, I.1    Tasaki, S.2
  • 8
    • 0011285982 scopus 로고
    • Design of 1-d chaotic maps with prescribed statistical properties
    • to appear in
    • Baranovsky, A. & Daems, D. [1995] "Design of 1-d chaotic maps with prescribed statistical properties," to appear in Int. J. of Bifurcation and Chaos 9.
    • (1995) Int. J. of Bifurcation and Chaos , vol.9
    • Baranovsky, A.1    Daems, D.2
  • 10
    • 0141478640 scopus 로고
    • From chaos to order - Perspectives and methodologies in controlling chaotic nonlinear dynamical systems
    • Chen, G. & Dong, X. [1993] "From chaos to order - Perspectives and methodologies in controlling chaotic nonlinear dynamical systems," Int. J. of Bifurcation and Chaos 3(6), 1363-1409.
    • (1993) Int. J. of Bifurcation and Chaos , vol.3 , Issue.6 , pp. 1363-1409
    • Chen, G.1    Dong, X.2
  • 11
    • 0346779701 scopus 로고
    • r-adic one-dimensional maps and the Euler Summation Formula
    • Gaspard, P. [1992] "r-adic one-dimensional maps and the Euler Summation Formula," J. Phys. A25, L483.
    • (1992) J. Phys. , vol.A25
    • Gaspard, P.1
  • 12
    • 0000725096 scopus 로고
    • Decaying eigenstates for simple chaotic systems Ruelle resonances and subdynamics
    • Hasegawa, H. H. & Saphir, W. C. [1992] "Decaying eigenstates for simple chaotic systems Ruelle resonances and subdynamics," Phys. Lett. A161, 471-476.
    • (1992) Phys. Lett. , vol.A161 , pp. 471-476
    • Hasegawa, H.H.1    Saphir, W.C.2
  • 13
    • 0003037291 scopus 로고
    • The general temporally discrete Markov process
    • Hopf, E. [1954] "The general temporally discrete Markov process," J. Rat. Mech. Analysis 3, 13-44.
    • (1954) J. Rat. Mech. Analysis , vol.3 , pp. 13-44
    • Hopf, E.1
  • 16
    • 0011286818 scopus 로고
    • Intelligent control, ergodicity and chaos
    • Simtech-Wnn-Fnn 93, San Francisco, CA, USA
    • Luzeaux, D. [1993] "Intelligent control, ergodicity and chaos," in Int. Simulation Technology Multiconference, Simtech-Wnn-Fnn 93, San Francisco, CA, USA.
    • (1993) Int. Simulation Technology Multiconference
    • Luzeaux, D.1
  • 18
    • 0002570798 scopus 로고
    • Controlling chaotic dynamical systems
    • ed. Campell, D. K. (American Institute of Physics, New York)
    • Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Controlling chaotic dynamical systems," in Chaos - Soviet-American Perspectives on Nonlinear Science, ed. Campell, D. K. (American Institute of Physics, New York), pp. 153-172.
    • (1990) Chaos - Soviet-American Perspectives on Nonlinear Science , pp. 153-172
    • Ott, E.1    Grebogi, C.2    Yorke, J.A.3
  • 20
    • 0040341424 scopus 로고
    • Representations of real numbers and their ergodic properties
    • Renyi, A. [1957] "Representations of real numbers and their ergodic properties," Acta Math. Acad. Sci. Hungary 8, 477.
    • (1957) Acta Math. Acad. Sci. Hungary , vol.8 , pp. 477
    • Renyi, A.1
  • 21
    • 0002787955 scopus 로고
    • Exact endomorphisms of a Lebesque space
    • Rokhlin, V. [1964] "Exact endomorphisms of a Lebesque space," Am. Math. Soc. Trans. 39(2), 1-36.
    • (1964) Am. Math. Soc. Trans. , vol.39 , Issue.2 , pp. 1-36
    • Rokhlin, V.1
  • 22
    • 0000601493 scopus 로고
    • Using small perturbations to control chaos
    • Shinbrot, T., Grebogi, C., Ott, E., Yorke, E. [1993] "Using small perturbations to control chaos," Nature 363, 3.
    • (1993) Nature , vol.363 , pp. 3
    • Shinbrot, T.1    Grebogi, C.2    Ott, E.3    Yorke, E.4
  • 24
  • 25
    • 0000637551 scopus 로고
    • Operator-theoretical treatment of Markov processes and mean ergodic theorem
    • Yosida, K. & Kakutani, S. [1941] "Operator-theoretical treatment of Markov processes and mean ergodic theorem," Annals of Mathematics 42, 188-229.
    • (1941) Annals of Mathematics , vol.42 , pp. 188-229
    • Yosida, K.1    Kakutani, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.