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Volumn 296, Issue 1, 2010, Pages 215-249

From limit cycles to strange attractors

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EID: 77949659246     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-010-0994-y     Document Type: Article
Times cited : (26)

References (21)
  • 2
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • Benedicks M., Carleson L.: The dynamics of the Hénon map. Ann. of Math. (2) 133(1), 73-169 (1991).
    • (1991) Ann. Of Math. (2) , vol.133 , Issue.1 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 3
    • 28844486373 scopus 로고    scopus 로고
    • Two distinct mechanisms of coherence in randomly perturbed dynamical systems
    • DeVille R. E. L., Vanden-Eijnden E., Muratov C. B.: Two distinct mechanisms of coherence in randomly perturbed dynamical systems. Phys. Rev. E (3) 72(3), 031105 (2005).
    • (2005) Phys. Rev. E (3) , vol.72 , Issue.3 , pp. 031105
    • Deville, R.E.L.1    Vanden-Eijnden, E.2    Muratov, C.B.3
  • 4
    • 57249111948 scopus 로고    scopus 로고
    • Application of the 0-1 test for chaos to experimental data
    • (electronic)
    • Falconer I., Gottwald G. A., Melbourne I., Wormnes K.: Application of the 0-1 test for chaos to experimental data. SIAM J. Appl. Dyn. Syst. 6(2), 395-402 (2007) (electronic).
    • (2007) SIAM J. Appl. Dyn. Syst. , vol.6 , Issue.2 , pp. 395-402
    • Falconer, I.1    Gottwald, G.A.2    Melbourne, I.3    Wormnes, K.4
  • 6
    • 84967728280 scopus 로고
    • Prevalence: A translation-invariant "almost every" on infinite-dimensional spaces
    • Hunt B. R., Sauer T., Yorke J. A.: Prevalence: a translation-invariant "almost every" on infinite-dimensional spaces. Bull. Amer. Math. Soc. (N. S.) 27(2), 217-238 (1992).
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , Issue.2 , pp. 217-238
    • Hunt, B.R.1    Sauer, T.2    Yorke, J.A.3
  • 7
    • 84967782914 scopus 로고
    • Prevalence. An addendum to: Prevalence: A translation-invariant 'almost every' on infinite-dimensional spaces
    • Hunt B. R., Sauer T., Yorke J. A.: Prevalence. An addendum to: Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces. Bull. Amer. Math. Soc. (N. S.) 28(2), 306-307 (1993).
    • (1993) Bull. Amer. Math. Soc. (N.S.) , vol.28 , Issue.2 , pp. 306-307
    • Hunt, B.R.1    Sauer, T.2    Yorke, J.A.3
  • 8
    • 0002053804 scopus 로고
    • Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
    • Jakobson M. V.: Absolutely continuous invariant measures for one-parameter families of one-dimensional maps. Commun. Math. Phys. 81(1), 39-88 (1981).
    • (1981) Commun. Math. Phys. , vol.81 , Issue.1 , pp. 39-88
    • Jakobson, M.V.1
  • 9
    • 43049129652 scopus 로고    scopus 로고
    • Shear-induced chaos
    • Lin K. K., Young L.-S.: Shear-induced chaos. Nonlinearity 21(5), 899-922 (2008).
    • (2008) Nonlinearity , vol.21 , Issue.5 , pp. 899-922
    • Lin, K.K.1    Young, L.-S.2
  • 11
    • 0001748121 scopus 로고
    • Positive Lyapunov exponent for generic one-parameter families of unimodal maps
    • Thieullen Ph., Tresser C., Young L.-S.: Positive Lyapunov exponent for generic one-parameter families of unimodal maps. J. Anal. Math. 64, 121-172 (1994).
    • (1994) J. Anal. Math. , vol.64 , pp. 121-172
    • Thieullen, P.1    Tresser, C.2    Young, L.-S.3
  • 12
    • 0005054205 scopus 로고
    • Exposant de Lyapunov positif dans des familles à un paramètre d'applications unimodales
    • Thieullen P., Tresser C., Young L.-S.: Exposant de Lyapunov positif dans des familles à un paramètre d'applications unimodales. C. R. Acad. Sci. Paris Sér. I Math. 315(1), 69-72 (1992).
    • (1992) C. R. Acad. Sci. Paris Sér. I Math. , vol.315 , Issue.1 , pp. 69-72
    • Thieullen, P.1    Tresser, C.2    Young, L.-S.3
  • 13
    • 0002061016 scopus 로고    scopus 로고
    • A rigorous ODE solver and Smale's 14th problem
    • Tucker W.: A rigorous ODE solver and Smale's 14th problem. Found. Comput. Math. 2(1), 53-117 (2002).
    • (2002) Found. Comput. Math. , vol.2 , Issue.1 , pp. 53-117
    • Tucker, W.1
  • 14
    • 77949658904 scopus 로고    scopus 로고
    • Wang, Q., Young, L.-S.: In preparation
    • Wang, Q., Young, L.-S.: In preparation.
  • 15
    • 0035531747 scopus 로고    scopus 로고
    • Strange attractors with one direction of instability
    • Wang Q., Young L.-S.: Strange attractors with one direction of instability. Commun. Math. Phys. 218(1), 1-97 (2001).
    • (2001) Commun. Math. Phys. , vol.218 , Issue.1 , pp. 1-97
    • Wang, Q.1    Young, L.-S.2
  • 16
    • 0036117030 scopus 로고    scopus 로고
    • From invariant curves to strange attractors
    • Wang Q., Young L.-S.: From invariant curves to strange attractors. Commun. Math. Phys. 225(2), 275-304 (2002).
    • (2002) Commun. Math. Phys. , vol.225 , Issue.2 , pp. 275-304
    • Wang, Q.1    Young, L.-S.2
  • 17
    • 0141792292 scopus 로고    scopus 로고
    • Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
    • Wang Q., Young L.-S.: Strange attractors in periodically-kicked limit cycles and Hopf bifurcations. Commun. Math. Phys. 240(3), 509-529 (2003).
    • (2003) Commun. Math. Phys. , vol.240 , Issue.3 , pp. 509-529
    • Wang, Q.1    Young, L.-S.2
  • 18
    • 43049124591 scopus 로고    scopus 로고
    • Toward a theory of rank one attractors
    • Wang Q., Young L.-S.: Toward a theory of rank one attractors. Ann. of Math. (2) 167(2), 349-480 (2008).
    • (2008) Ann. Of Math. (2) , vol.167 , Issue.2 , pp. 349-480
    • Wang, Q.1    Young, L.-S.2
  • 19
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • Young L.-S.: Statistical properties of dynamical systems with some hyperbolicity. Ann. of Math. (2) 147(3), 585-650 (1998).
    • (1998) Ann. Of Math. (2) , vol.147 , Issue.3 , pp. 585-650
    • Young, L.-S.1
  • 20
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • Young L.-S.: Recurrence times and rates of mixing. Israel J. Math. 110, 153-188 (1999).
    • (1999) Israel J. Math. , vol.110 , pp. 153-188
    • Young, L.-S.1
  • 21
    • 0000027441 scopus 로고
    • The simplest case of a strange attractor
    • Zaslavsky G. M.: The simplest case of a strange attractor. Phys. Lett. A 69(3), 145-147 (1978/79).
    • (1978) Phys. Lett. A , vol.69 , Issue.3 , pp. 145-147
    • Zaslavsky, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.