메뉴 건너뛰기




Volumn 219, Issue , 2000, Pages 181-187

The standard map and a probabilistic conjecture

Author keywords

Probabilistic conjecture; Standard map

Indexed keywords


EID: 0034361258     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200011)219:1<181::AID-MANA181>3.0.CO;2-1     Document Type: Article
Times cited : (1)

References (14)
  • 1
    • 34250588943 scopus 로고
    • Surface transformations and their dynamical applications
    • BIRKHOFF, G. D.: Surface Transformations and Their Dynamical Applications, Acta Math. 43 (1920), 1-119
    • (1920) Acta Math. , vol.43 , pp. 1-119
    • Birkhoff, G.D.1
  • 2
    • 0012097571 scopus 로고
    • A universal instability of many-dimensional oscillator systems
    • CHIRIKOV, B. V.: A Universal Instability of Many-Dimensional Oscillator Systems, Phys. Rep. 52 (1979), 263-379
    • (1979) Phys. Rep. , vol.52 , pp. 263-379
    • Chirikov, B.V.1
  • 3
    • 36749116209 scopus 로고
    • A method for determining a stochastic transformation
    • GREEN, J. M.: A Method for Determining a Stochastic Transformation, J. Math. Phys. 20, No. 6 (1984), 1183-1201
    • (1984) J. Math. Phys. , vol.20 , Issue.6 , pp. 1183-1201
    • Green, J.M.1
  • 4
    • 84926873799 scopus 로고
    • Non-existence of invariant circles
    • MATHER, J. N.: Non-Existence of Invariant Circles, Ergodic Theory Dynam. Syst. 4 (1984), 301-309
    • (1984) Ergodic Theory Dynam. Syst. , vol.4 , pp. 301-309
    • Mather, J.N.1
  • 5
    • 0002096334 scopus 로고
    • On the asymptotic behaviour of trajectories of the standard mappings
    • PUSTYL'NIKOV, L. D.: On the Asymptotic Behaviour of Trajectories of the Standard Mappings, Mat. Zametki 39 (1986), 719-726; English transl.: Math. Notes 39 (1986)
    • (1986) Mat. Zametki , vol.39 , pp. 719-726
    • Pustyl'nikov, L.D.1
  • 6
    • 0002076704 scopus 로고
    • English transl.
    • PUSTYL'NIKOV, L. D.: On the Asymptotic Behaviour of Trajectories of the Standard Mappings, Mat. Zametki 39 (1986), 719-726; English transl.: Math. Notes 39 (1986)
    • (1986) Math. Notes , vol.39
  • 7
    • 0002091651 scopus 로고    scopus 로고
    • Investigation of the standard map and its probabilistic analog
    • Preprint (Russian)
    • PUSTYL'NIKOV, L. D.: Investigation of the Standard Map and Its Probabilistic Analog, Keldysh Institute of Applied Mathematics, Preprint 29 (1997) (Russian)
    • (1997) Keldysh Institute of Applied Mathematics , vol.29
    • Pustyl'nikov, L.D.1
  • 8
    • 0004192457 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • SINAI, YA. G.: Topics in Ergodic Theory, Princeton University Press, Princeton, New Jersey, 1994
    • (1994) Topics in Ergodic Theory
    • Sinai, Ya.G.1
  • 9
    • 0004243194 scopus 로고
    • Springer-Verlag, Berlin-Heidelberg
    • SINAI, YA. G.: Probability Theory, Springer-Verlag, Berlin-Heidelberg, 1992
    • (1992) Probability Theory
    • Sinai, Ya.G.1
  • 13
    • 0001851184 scopus 로고
    • On invariant curves of area preserving mappings of an annulus
    • MOSER, J.: On Invariant Curves of Area Preserving Mappings of an Annulus, Nachr. Akad. Wiss. Göttingen, Math. Phys. KI. II (1962), 1-20
    • (1962) Nachr. Akad. Wiss. Göttingen, Math. Phys. KI , vol.2 , pp. 1-20
    • Moser, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.