Solution of Certain Integrable Dynamical Systems of Ruijsenaars-Schneider Type with CompletelyPeriodic Trajectories

F. Calogero; J.P. Françoise

doi:10.1007/pl00001000

Solution of Certain Integrable Dynamical Systems of Ruijsenaars-Schneider Type with CompletelyPeriodic Trajectories

Annales Henri Poincaré ◽

10.1007/pl00001000 ◽

2000 ◽

Vol 1 (1) ◽

pp. 173-191 ◽

Cited By ~ 13

Author(s):

F. Calogero ◽

J.P. Françoise

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems

Download Full-text

Matrix functional substitutions for integrable dynamical systems and the Landau–Lifshitz equations

Nelineinaya Dinamika ◽

10.20537/nd1401003 ◽

2014 ◽

pp. 35-48

Author(s):

V. M. Zhuravlev ◽

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems

Download Full-text

A Few Integrable Dynamical Systems, Recurrence Operators, Expanding Integrable Models and Hamiltonian Structures by the r -Matrix Method

Communications in Theoretical Physics ◽

10.1088/0253-6102/68/4/463 ◽

2017 ◽

Vol 68 (4) ◽

pp. 463 ◽

Cited By ~ 1

Author(s):

Yu-Feng Zhang ◽

Iqbal Muhammad ◽

Chao Yue

Keyword(s):

Dynamical Systems ◽

Matrix Method ◽

Integrable Models ◽

Hamiltonian Structures ◽

R Matrix ◽

Integrable Dynamical Systems

Download Full-text

Self-Similar Natural Boundaries of Non-Integrable Dynamical Systems in the Complex t Plane

Springer Series in Synergetics - Chaos and Statistical Methods ◽

10.1007/978-3-642-69559-9_5 ◽

1984 ◽

pp. 42-45 ◽

Cited By ~ 1

Author(s):

H. Yoshida

Keyword(s):

Dynamical Systems ◽

Self Similar ◽

Integrable Dynamical Systems ◽

Natural Boundaries

Download Full-text

ON THE EXISTENCE AND NON-EXISTENCE OF NATURAL BOUNDARIES FOR NON-INTEGRABLE DYNAMICAL SYSTEMS

Chaotic Dynamics and Fractals ◽

10.1016/b978-0-12-079060-9.50009-6 ◽

1986 ◽

pp. 69-100 ◽

Cited By ~ 3

Author(s):

D. Bessis ◽

N. Chafee

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems ◽

Natural Boundaries

Download Full-text

Quantum lie algebra of currents ? The universal algebraic structure of symmetries of completely integrable dynamical systems

Ukrainian Mathematical Journal ◽

10.1007/bf01057184 ◽

1989 ◽

Vol 40 (6) ◽

pp. 645-649

Author(s):

B. N. Fil' ◽

A. K. Prikarpatskii ◽

N. N. Pritula

Keyword(s):

Dynamical Systems ◽

Lie Algebra ◽

Algebraic Structure ◽

Completely Integrable ◽

Integrable Dynamical Systems

Download Full-text

Integrable dynamical systems and related mathematical results

Nonlinear Phenomena - Lecture Notes in Physics ◽

10.1007/3-540-12730-5_3 ◽

2008 ◽

pp. 47-109 ◽

Cited By ~ 3

Author(s):

Francesco Calogero

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems

Download Full-text

SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS

Mathematics of the USSR-Izvestiya ◽

10.1070/im1988v031n01abeh001043 ◽

1988 ◽

Vol 31 (1) ◽

pp. 47-75 ◽

Cited By ~ 18

Author(s):

O I Bogoyavlenskiĭ

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems

Download Full-text

Extension of the class of integrable dynamical systems connected with semisimple Lie algebras

Letters in Mathematical Physics ◽

10.1007/bf00398546 ◽

1985 ◽

Vol 9 (1) ◽

pp. 13-18 ◽

Cited By ~ 35

Author(s):

V. I. Inozemtsev ◽

D. V. Meshcheryakov

Keyword(s):

Dynamical Systems ◽

Lie Algebras ◽

Semisimple Lie Algebras ◽

Integrable Dynamical Systems

Download Full-text

Generalized eikonal knots and new integrable dynamical systems

Physics Letters B ◽

10.1016/j.physletb.2005.06.050 ◽

2005 ◽

Vol 621 (1-2) ◽

pp. 201-207 ◽

Cited By ~ 10

Author(s):

A. Wereszczyński

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems

Download Full-text

Geometry of integrable dynamical systems on 2-dimensional surfaces

Acta Mathematica Vietnamica ◽

10.1007/s40306-012-0005-9 ◽

2013 ◽

Vol 38 (1) ◽

pp. 79-106 ◽

Cited By ~ 1

Author(s):

Nguyen Tien Zung ◽

Nguyen Van Minh

Keyword(s):

Dynamical Systems ◽

Integrable Dynamical Systems

Download Full-text