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Volumn 1, Issue 4, 1999, Pages 517-533

Aubry-Mather theory and idempotent eigenfunctions of Bellman operator

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EID: 22844456446     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199799000195     Document Type: Article
Times cited : (4)

References (18)
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    • (1983) Physica , vol.D7 , pp. 240-258
    • Aubry, S.1
  • 2
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    • The discrete Frenkel-Kontorova model and its extensions I: Exact results for the ground states
    • S. Aubry and P. Y. LeDaeron, The discrete Frenkel-Kontorova model and its extensions I: Exact results for the ground states, Physica D8 (1983) 381-422.
    • (1983) Physica , vol.D8 , pp. 381-422
    • Aubry, S.1    LeDaeron, P.Y.2
  • 3
    • 0009374613 scopus 로고
    • Quelques théorèmes sur les mouvements des systèmes dynamiques
    • G. D. Birkhoff, Quelques théorèmes sur les mouvements des systèmes dynamiques, Bull. Soc. Math. de France 40 (1912).
    • (1912) Bull. Soc. Math. de France , vol.40
    • Birkhoff, G.D.1
  • 6
    • 26844542036 scopus 로고
    • in Russian
    • Izv. Akad. Nauk SSSR, ser. math. 55 (1991) N. 1, pp. 93-109 (in Russian);
    • (1991) Izv. Akad. Nauk SSSR, Ser. Math. , vol.55 , Issue.1 , pp. 93-109
  • 7
    • 0003184343 scopus 로고
    • English transl.
    • English transl. in Math. USSR Izvestiya 38 (1992) 91-105.
    • (1992) Math. USSR Izvestiya , vol.38 , pp. 91-105
  • 8
    • 85034497601 scopus 로고    scopus 로고
    • Aubry-Mather theory and periodic solutions of the forced Burgers equation
    • to appear
    • E Weinan, Aubry-Mather theory and periodic solutions of the forced Burgers equation, to appear in Comm. Pure Appl. Math.
    • Comm. Pure Appl. Math.
    • Weinan, E.1
  • 9
    • 0000704689 scopus 로고
    • Geodesics on two-dimensional Riemann manifold with periodic coefficients
    • G. A. Hedlund, Geodesics on two-dimensional Riemann manifold with periodic coefficients, Ann. of Math. 33 (1932) 719-739.
    • (1932) Ann. of Math. , vol.33 , pp. 719-739
    • Hedlund, G.A.1
  • 12
    • 0000456667 scopus 로고
    • Existence of quasi-periodic orbits for twist homeomorphism of the annulus
    • J. N. Mather, Existence of quasi-periodic orbits for twist homeomorphism of the annulus, Topology 21 (1982) 457-467.
    • (1982) Topology , vol.21 , pp. 457-467
    • Mather, J.N.1
  • 13
    • 0002818813 scopus 로고
    • Action minimizing orbits in Hamiltonian systems
    • Springer-Verlag
    • J. N. Mather and G. Forni, Action minimizing orbits in Hamiltonian systems, Lecture Notes in Math. 1589, Springer-Verlag, 1994.
    • (1994) Lecture Notes in Math. , vol.1589
    • Mather, J.N.1    Forni, G.2
  • 14
    • 0001788461 scopus 로고
    • A fundamental class of geodesics on any closed surface of genus greater than one
    • M. Morse, A fundamental class of geodesics on any closed surface of genus greater than one, Trans. Amer. Math. Soc. 26 (1924) 25-60.
    • (1924) Trans. Amer. Math. Soc. , vol.26 , pp. 25-60
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  • 16
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    • On periodic solutions of Hamilton-Jacobi equation with periodic force
    • in Russian
    • A. N. Sobolevskiǐ, On periodic solutions of Hamilton-Jacobi equation with periodic force, Uspekhi Mat. Nauk 53 (1998) N. 6, 265-266 (in Russian).
    • (1998) Uspekhi Mat. Nauk , vol.53 , Issue.6 , pp. 265-266
    • Sobolevskiǐ, A.N.1
  • 17
    • 85034511678 scopus 로고    scopus 로고
    • Periodic solutions of Hamilton-Jacobi equation with periodic forcing and Aubry-Mather theory
    • submitted (in Russian)
    • A. N. Sobolevskiǐ, Periodic solutions of Hamilton-Jacobi equation with periodic forcing and Aubry-Mather theory, submitted to Mat. Sbornik (in Russian).
    • Mat. Sbornik
    • Sobolevskiǐ, A.N.1
  • 18
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    • Fixed points of the Bellman operator semi-groups and invariant manifolds of subdifferential Hamiltonian equations
    • in Russian
    • S. Yu. Yakovenko, Fixed points of the Bellman operator semi-groups and invariant manifolds of subdifferential Hamiltonian equations, Avtomatika i Telemekhanika (1989) N. 6, 43-52 (in Russian).
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    • Yakovenko, S.Yu.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.