Symmetries of Hamiltonian systems with two degrees of freedom

P. A. Damianou; C. Sophocleous

doi:10.1063/1.532769

Symmetries of Hamiltonian systems with two degrees of freedom

Journal of Mathematical Physics ◽

10.1063/1.532769 ◽

1999 ◽

Vol 40 (1) ◽

pp. 210-235 ◽

Cited By ~ 25

Author(s):

P. A. Damianou ◽

C. Sophocleous

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

Download Full-text

A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom

Sbornik Mathematics ◽

10.1070/sm1995v186n01abeh000001 ◽

1995 ◽

Vol 186 (1) ◽

pp. 1-27 ◽

Cited By ~ 4

Author(s):

A V Bolsinov

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom ◽

Trajectory Classification

Download Full-text

On the Stability of an Equilibrium Solution in Hamiltonian Systems of Two Degrees of Freedom

Instabilities in Dynamical Systems ◽

10.1007/978-94-009-9423-2_38 ◽

1979 ◽

pp. 303-305 ◽

Cited By ~ 1

Author(s):

H. Rüssmann

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Equilibrium Solution ◽

Two Degrees Of Freedom ◽

The Stability

Download Full-text

LIST OF ALL INTEGRABLE HAMILTONIAN SYSTEMS OF GENERAL TYPE WITH TWO DEGREES OF FREEDOM.: “PHYSICAL ZONE” IN THIS TABLE

Integrable and Superintegrable Systems ◽

10.1142/9789812797179_0007 ◽

1990 ◽

pp. 134-164 ◽

Cited By ~ 1

Author(s):

A. T. FOMENKO

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

General Type ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom

Download Full-text

A note on integrable two-degrees-of-freedom Hamiltonian systems with a second integral quartic in the momenta

Journal of Physics A General Physics ◽

10.1088/0305-4470/28/19/017 ◽

1995 ◽

Vol 28 (19) ◽

pp. 5633-5642 ◽

Cited By ~ 7

Author(s):

F J Romeiras

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

Download Full-text

Reversible maps in two-degrees of freedom Hamiltonian systems

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.1499595 ◽

2002 ◽

Vol 12 (3) ◽

pp. 699-705 ◽

Cited By ~ 3

Author(s):

K. Zare ◽

K. Tanikawa

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

Download Full-text

The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom

Topological Classification of Integrable Systems - ADVSOV ◽

10.1090/advsov/006/01 ◽

1991 ◽

pp. 1-36 ◽

Cited By ~ 11

Author(s):

A. Fomenko

Keyword(s):

Hamiltonian Systems ◽

Integrable Systems ◽

Degrees Of Freedom ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom ◽

Theory Of Invariants

Download Full-text

Lagrangian projections of invariant tori of Hamiltonian systems with two degrees of freedom

Functional Analysis and Its Applications ◽

10.1007/bf01078576 ◽

1989 ◽

Vol 23 (1) ◽

pp. 54-55

Author(s):

M. L. Byalyi ◽

L. V. Polterovich

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Invariant Tori ◽

Two Degrees Of Freedom

Download Full-text

A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM

Mathematics of the USSR-Izvestiya ◽

10.1070/im1991v036n03abeh002035 ◽

1991 ◽

Vol 36 (3) ◽

pp. 567-596 ◽

Cited By ~ 44

Author(s):

A T Fomenko ◽

Kh Tsishang

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Topological Invariant ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom

Download Full-text

Stability criteria for periodic solutions of autonomous Hamiltonian systems with two degrees of freedom

Nonlinearity ◽

10.1088/0951-7715/11/1/003 ◽

1998 ◽

Vol 11 (1) ◽

pp. 19-26

Author(s):

A A Zevin

Keyword(s):

Periodic Solutions ◽

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Stability Criteria ◽

Two Degrees Of Freedom

Download Full-text

On degenerate resonances in Hamiltonian systems with two degrees of freedom

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2014.10.002 ◽

2014 ◽

Vol 69 ◽

pp. 201-208 ◽

Cited By ~ 3

Author(s):

A. Karabanov ◽

A.D. Morozov

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Degenerate Resonances

Download Full-text