CONVEX HAMILTONIAN ENERGY SURFACES AND THEIR PERIODIC TRAJECTORIES

被引：107

作者：

EKELAND, I

HOFER, H

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

[2] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1987年 / 113卷 / 03期

关键词：

D O I：

10.1007/BF01221255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：419 / 469

页数：51

共 34 条

[1] SADDLE POINTS AND MULTIPLE SOLUTIONS OF DIFFERENTIAL-EQUATIONS [J].

AMANN, H .

MATHEMATISCHE ZEITSCHRIFT, 1979, 169 (02) :127-166

[2]

AMBROSETTI A, J DIFFER EQUATIONS

[3] EXISTENCE OF MULTIPLE PERIODIC-ORBITS ON STAR-SHAPED HAMILTONIAN SURFACES [J].

BERESTYCKI, H ;

LASRY, JM ;

MANCINI, G ;

RUF, B .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (03) :253-289

[4] LECTURES ON MORSE-THEORY, OLD AND NEW [J].

BOTT, R .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 7 (02) :331-358

[5] SUBHARMONIC SOLUTIONS AND MORSE-THEORY [J].

CONLEY, C ;

ZEHNDER, E .

PHYSICA A, 1984, 124 (1-3) :649-657

[6]

Conley C., 1984, COMMUN PURE APPL MAT, V27, P211

[7]

CUSHMAN R, 1977, ADV MATH, V23, P1, DOI 10.1016/0001-8708(77)90107-4

[8] MORSE INDEX IN VARIATIONAL CALCULUS [J].

DUISTERMAAT, JJ .

ADVANCES IN MATHEMATICS, 1976, 21 (02) :173-195

[9]

EKELAND I, 1984, ANN I H POINCARE-AN, V1, P19

[10] PERIODIC-SOLUTIONS WITH PRESCRIBED MINIMAL PERIOD FOR CONVEX AUTONOMOUS HAMILTONIAN-SYSTEMS [J].

EKELAND, I ;

HOFER, H .

INVENTIONES MATHEMATICAE, 1985, 81 (01) :155-188

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