메뉴 건너뛰기




Volumn 2, Issue 3, 2002, Pages 389-399

Quasi periodic breathers in Hamiltonian lattices with symmetries

Author keywords

Discrete breathers; Quasiperiodic solutions; Systems with symmetry

Indexed keywords


EID: 0000691808     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2002.2.389     Document Type: Article
Times cited : (36)

References (17)
  • 1
    • 22244486688 scopus 로고    scopus 로고
    • Breathers in nonlinear lattices: Existence, linear stability and quantization
    • S. Aubry, BREATHERS IN NONLINEAR LATTICES: EXISTENCE, LINEAR STABILITY AND QUANTIZATION, Phys. D, 103 (1997), 201-250.
    • (1997) Phys. D , vol.103 , pp. 201-250
    • Aubry, S.1
  • 2
    • 0001745384 scopus 로고    scopus 로고
    • Variational proof for hard discrete breathers in some classes of hamiltonian dynamical systems
    • S. Aubry, G. Kopidakis, V. Kadelburg, VARIATIONAL PROOF FOR HARD DISCRETE BREATHERS IN SOME CLASSES OF HAMILTONIAN DYNAMICAL SYSTEMS, DCDS-B, 1 (2001), 271-298.
    • (2001) DCDS-B , vol.1 , pp. 271-298
    • Aubry, S.1    Kopidakis, G.2    Kadelburg, V.3
  • 3
    • 0001613693 scopus 로고    scopus 로고
    • Exponential stability of breathers in hamiltonian networks of weakly coupled oscillators
    • D. Bambusi, EXPONENTIAL STABILITY OF BREATHERS IN HAMILTONIAN NETWORKS OF WEAKLY COUPLED OSCILLATORS, Nonlinearity, 9 (1996), 433-457.
    • (1996) Nonlinearity , vol.9 , pp. 433-457
    • Bambusi, D.1
  • 4
    • 0033241149 scopus 로고    scopus 로고
    • On the dynamics of the Holstein model from the anticontinuous limit
    • D. Bambusi, ON THE DYNAMICS OF THE HOLSTEIN MODEL FROM THE ANTICONTINUOUS LIMIT, J. Math. Phys., 40 (1999), 3710-3717.
    • (1999) J. Math. Phys. , vol.40 , pp. 3710-3717
    • Bambusi, D.1
  • 5
    • 0002887702 scopus 로고    scopus 로고
    • On persistence of invariant tori and a theorem by nekhoroshev
    • paper 1
    • D. Bambusi, G. Gaeta: ON PERSISTENCE OF INVARIANT TORI AND A THEOREM BY NEKHOROSHEV. MPEJ, 8 (2002), paper 1. Available at http://www.maia.ub.es/mpej/MPEJ.html
    • (2002) MPEJ , vol.8
    • Bambusi, D.1    Gaeta, G.2
  • 6
    • 0040859457 scopus 로고
    • Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
    • R.S. MacKay, S. Aubry, PROOF OF EXISTENCE OF BREATHERS FOR TIME-REVERSIBLE OR HAMILTONIAN NETWORKS OF WEAKLY COUPLED OSCILLATORS, Nonlinearity. 7 (1994), 1623-1643.
    • (1994) Nonlinearity , vol.7 , pp. 1623-1643
    • MacKay, R.S.1    Aubry, S.2
  • 7
    • 0031097269 scopus 로고    scopus 로고
    • Persistance d'orbites périodiques relatives dans les systèmes Hamiltoniens symétriques
    • J. Montaldi, PERSISTANCE D'ORBITES PÉRIODIQUES RELATIVES DANS LES SYSTÈMES HAMILTONIENS SYMÉTRIQUES, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), 553-558.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , pp. 553-558
    • Montaldi, J.1
  • 8
    • 0001443815 scopus 로고
    • The Poincaré-Lyapounov-Liouville-Arnol'd theorem
    • N.N. Nekhoroshev, THE POINCARÉ-LYAPOUNOV-LIOUVILLE-ARNOL'D THEOREM, Funct. Anal. Appl. 28 (1994), 128-129
    • (1994) Funct. Anal. Appl. , vol.28 , pp. 128-129
    • Nekhoroshev, N.N.1
  • 9
    • 0009811485 scopus 로고    scopus 로고
    • Existence of breathers on FPU lattices
    • G. James, EXISTENCE OF BREATHERS ON FPU LATTICES, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), 581-586.
    • (2001) C. R. Acad. Sci. Paris Sér. I Math. , vol.332 , pp. 581-586
    • James, G.1
  • 10
    • 0000576831 scopus 로고    scopus 로고
    • Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
    • M. Johansson, S. Aubry, EXISTENCE AND STABILITY OF QUASIPERIODIC BREATHERS IN THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION, Nonlinearity. 10 (1997), 1151-1178.
    • (1997) Nonlinearity , vol.10 , pp. 1151-1178
    • Johansson, M.1    Aubry, S.2
  • 11
  • 13
    • 0026856869 scopus 로고
    • AN infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations
    • S.B. Kuksin, AN INFINITESIMAL LIOUVILLE-ARNOLD THEOREM AS A CRITERION OF REDUCIBILITY FOR VARIATIONAL HAMILTONIAN EQUATIONS, Chaos, Solitons & Fractals. 2 (1992) 259-269.
    • (1992) Chaos, Solitons & Fractals. , vol.2 , pp. 259-269
    • Kuksin, S.B.1
  • 14
    • 0001836195 scopus 로고
    • Nearly integrable infinite-dimensional hamiltonian systems
    • Springer
    • S.B. Kuksin: Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Lect. Notes Math. 1556 (Springer 1994)
    • (1994) Lect. Notes Math. , vol.1556
    • Kuksin, S.B.1
  • 15
    • 0001573592 scopus 로고    scopus 로고
    • Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
    • J.A. Sepulchre, R.S. MacKay, LOCALIZED OSCILLATIONS IN CONSERVATIVE OR DISSIPATIVE NETWORKS OF WEAKLY COUPLED AUTONOMOUS OSCILLATORS, Nonlinearity. 10 (1997), 679-713.
    • (1997) Nonlinearity , vol.10 , pp. 679-713
    • Sepulchre, J.A.1    MacKay, R.S.2
  • 16
    • 85039637746 scopus 로고    scopus 로고
    • Hamiltonian systems near relative periodic orbits
    • to appear
    • C. Wulff, M. Roberts, HAMILTONIAN SYSTEMS NEAR RELATIVE PERIODIC ORBITS, SIAM J. Dyn. Syst., to appear.
    • SIAM J. Dyn. Syst.
    • Wulff, C.1    Roberts, M.2
  • 17
    • 85039633161 scopus 로고    scopus 로고
    • Construction of quasiperiodic breathers via Kam thechnique
    • to appear
    • X. Yuan, CONSTRUCTION OF QUASIPERIODIC BREATHERS VIA KAM THECHNIQUE, Commun. Math. Phys., to appear.
    • Commun. Math. Phys.
    • Yuan, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.