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Volumn 39, Issue 11, 1998, Pages 5952-5963

Transition to criticality in circle maps at the golden mean

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EID: 0032343051     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532607     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 0001405884 scopus 로고
    • Scaling behavior in map of a circle onto itself: Empirical results
    • S. J. Shenker, "Scaling behavior in map of a circle onto itself: Empirical results," Physica D 5, 405-411 (1982).
    • (1982) Physica D , vol.5 , pp. 405-411
    • Shenker, S.J.1
  • 2
    • 0001540965 scopus 로고
    • Quasiperiodicity in dissipative systems: A renormalization group analysis
    • M. J. Feigenbaum, L. P. Kadanoff, and S. J. Shenker, "Quasiperiodicity in dissipative systems: A renormalization group analysis," Physica D 5, 370-386 (1982).
    • (1982) Physica D , vol.5 , pp. 370-386
    • Feigenbaum, M.J.1    Kadanoff, L.P.2    Shenker, S.J.3
  • 3
    • 0002909346 scopus 로고
    • Universal and asymptotic limits of the scaling exponents in circle maps
    • B. Hu, A. Valinia, and O. Piro, "Universal and asymptotic limits of the scaling exponents in circle maps," Phys. Lett. A 144, 7-10 (1990).
    • (1990) Phys. Lett. A , vol.144 , pp. 7-10
    • Hu, B.1    Valinia, A.2    Piro, O.3
  • 4
    • 0032008442 scopus 로고    scopus 로고
    • Analytic solutions of the Cvitanović-Feigenbaum and Feigenbaum-Kadanoff-Shenker equations
    • K. M. Briggs, T. W. Dixon, and G. Szekeres, "Analytic solutions of the Cvitanović-Feigenbaum and Feigenbaum-Kadanoff-Shenker equations," Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 347-357 (1998).
    • (1998) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.8 , pp. 347-357
    • Briggs, K.M.1    Dixon, T.W.2    Szekeres, G.3
  • 5
    • 0000336550 scopus 로고
    • Universal transition from quasiperiodicity to chaos in dissipative systems
    • D. Rand, S. Ostlund, J. Sethna, and E. D. Siggia, "Universal transition from quasiperiodicity to chaos in dissipative systems," Phys. Rev. Lett. 49, 132-135 (1982).
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 132-135
    • Rand, D.1    Ostlund, S.2    Sethna, J.3    Siggia, E.D.4
  • 6
    • 0020810173 scopus 로고
    • Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
    • S. Ostlund, D. Rand, J. Sethna, and E. D. Siggia, "Universal properties of the transition from quasi-periodicity to chaos in dissipative systems," Physica D 8, 303-342 (1983).
    • (1983) Physica D , vol.8 , pp. 303-342
    • Ostlund, S.1    Rand, D.2    Sethna, J.3    Siggia, E.D.4
  • 8
    • 0001816458 scopus 로고
    • Quantitative universality for a class of nonlinear transformations
    • M. J. Feigenbaum, "Quantitative universality for a class of nonlinear transformations," J. Stat. Phys. 19, 25-52 (1978).
    • (1978) J. Stat. Phys. , vol.19 , pp. 25-52
    • Feigenbaum, M.J.1
  • 9
    • 0347447535 scopus 로고
    • The universal metric properties of nonlinear transformations
    • M. J. Feigenbaum, "The universal metric properties of nonlinear transformations," J. Stat. Phys. 21, 669-702 (1979).
    • (1979) J. Stat. Phys. , vol.21 , pp. 669-702
    • Feigenbaum, M.J.1
  • 10
    • 0002603916 scopus 로고
    • Universal properties of maps of the circle with ε-singularities
    • L. Jonker and D. A. Rand, "Universal properties of maps of the circle with ε-singularities," Commun. Math. Phys. 90, 273-292 (1983).
    • (1983) Commun. Math. Phys. , vol.90 , pp. 273-292
    • Jonker, L.1    Rand, D.A.2
  • 11
    • 0012005192 scopus 로고
    • Fractal dimensions and holomorphic conjugacies
    • A. Arneodo and M. Holschneider, "Fractal dimensions and holomorphic conjugacies," J. Stat. Phys. 50, 995-1020 (1988).
    • (1988) J. Stat. Phys. , vol.50 , pp. 995-1020
    • Arneodo, A.1    Holschneider, M.2
  • 12
    • 0000459748 scopus 로고
    • Relations between universal scaling constants for the circle map near the golden mean
    • R. Delbourgo and B. G. Kenny, "Relations between universal scaling constants for the circle map near the golden mean," J. Math. Phys. 32, 1045-1051 (1991).
    • (1991) J. Math. Phys. , vol.32 , pp. 1045-1051
    • Delbourgo, R.1    Kenny, B.G.2
  • 14
    • 0001111309 scopus 로고    scopus 로고
    • On the universality of singular circle maps
    • T. W. Dixon, B. G. Kenny, and K. M. Briggs, "On the universality of singular circle maps," Phys. Lett. A 231, 359-366 (1997).
    • (1997) Phys. Lett. A , vol.231 , pp. 359-366
    • Dixon, T.W.1    Kenny, B.G.2    Briggs, K.M.3
  • 15
    • 0039955796 scopus 로고
    • The onset of chaos
    • Statistical and Particle Physics, Edinburgh, August edited by K. C. Bowler and A. J. McKane (SUSSP Publ.)
    • M. J. Feigenbaum and R. D. Kenway, "The onset of chaos," in Statistical and Particle Physics, Proceedings of the 26th Scottish Universities Summer School in Physics, Edinburgh, August 1983, edited by K. C. Bowler and A. J. McKane (SUSSP Publ.), pp. 1-100.
    • (1983) Proceedings of the 26th Scottish Universities Summer School in Physics , pp. 1-100
    • Feigenbaum, M.J.1    Kenway, R.D.2
  • 16
    • 0000419598 scopus 로고
    • Universal scaling behaviour for iterated maps in the complex plane
    • N. S. Manton and M. Nauenberg, "Universal scaling behaviour for iterated maps in the complex plane," Commun. Math. Phys. 89, 555-570 (1983).
    • (1983) Commun. Math. Phys. , vol.89 , pp. 555-570
    • Manton, N.S.1    Nauenberg, M.2
  • 17
    • 0001329401 scopus 로고
    • Renormalization group analysis of quasi-periodicity in analytic maps
    • M. Widom, "Renormalization group analysis of quasi-periodicity in analytic maps," Commun. Math. Phys. 92, 121-136 (1983).
    • (1983) Commun. Math. Phys. , vol.92 , pp. 121-136
    • Widom, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.