RECENT PROGRESS AND OUTSTANDING PROBLEMS IN HAMILTONIAN-DYNAMICS

被引：13

作者：

MACKAY, RS

机构：

[1] Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, Coventry

来源：

PHYSICA D | 1995年 / 86卷 / 1-2期

关键词：

D O I：

10.1016/0167-2789(95)00094-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Progress in Hamiltonian dynamics over the last five years is reviewed, some outstanding problems are identified, and recent work with Aubry on ''discrete breathers'' is summarised.

引用

页码：122 / 133

页数：12

共 55 条

[1]

ANGENENT S, 1993, SYMPLECTIC GEOMETRY, P5

[2]

[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]

[3] EQUIVALENCE OF UNIFORM HYPERBOLICITY FOR SYMPLECTIC TWIST MAPS AND PHONON GAP FOR FRENKEL-KONTOROVA MODELS [J].

AUBRY, S ;

MACKAY, RS ;

BAESENS, C .

PHYSICA D, 1992, 56 (2-3) :123-134

[4] CHAOTIC TRAJECTORIES IN THE STANDARD MAP - THE CONCEPT OF ANTIINTEGRABILITY [J].

AUBRY, S ;

ABRAMOVICI, G .

PHYSICA D-NONLINEAR PHENOMENA, 1990, 43 (2-3) :199-219

[5] THE DISCRETE FRENKEL-KONTOROVA MODEL AND ITS EXTENSIONS .1. EXACT RESULTS FOR THE GROUND-STATES [J].

AUBRY, S ;

LEDAERON, PY .

PHYSICA D-NONLINEAR PHENOMENA, 1983, 8 (03) :381-422

[6] UNIFORMLY TRAVELING WATER-WAVES FROM A DYNAMIC-SYSTEMS VIEWPOINT - SOME INSIGHTS INTO BIFURCATIONS FROM STOKES FAMILY [J].

BAESENS, C ;

MACKAY, RS .

JOURNAL OF FLUID MECHANICS, 1992, 241 :333-347

[7] EXPONENTIAL STABILITY OF STATES CLOSE TO RESONANCE IN INFINITE-DIMENSIONAL HAMILTONIAN-SYSTEMS [J].

BAMBUSI, D ;

GIORGILLI, A .

JOURNAL OF STATISTICAL PHYSICS, 1993, 71 (3-4) :569-606

[8] FROM DYNAMIC-SYSTEMS TO THE LANGEVIN EQUATION [J].

BECK, C ;

ROEPSTORFF, G .

PHYSICA A, 1987, 145 (1-2) :1-14

[9]

BOWEN R, 1975, LECTURE NOTES MATH, V470

[10] MARKOV PARTITIONS FOR DISPERSED BILLIARDS [J].

BUNIMOVICH, LA ;

SINAI, YG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 78 (02) :247-280

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