Approximate First Integrals of a Hamiltonian System with  Two-Degrees of  Freedom

Gazanfer Ünal

doi:10.3390/mca8020151

Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom

Mathematical and Computational Applications ◽

10.3390/mca8020151 ◽

2003 ◽

Vol 8 (2) ◽

pp. 151-158

Author(s):

Gazanfer Ünal

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

First Integrals ◽

Two Degrees Of Freedom ◽

Approximate First Integrals

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Large excursions of action within the resonance of a degenerate Hamiltonian system with two degrees of freedom

Physical Review E ◽

10.1103/physreve.80.026216 ◽

2009 ◽

Vol 80 (2) ◽

Author(s):

Jian Li ◽

Wei-Dong Li ◽

Jie Liu ◽

Yi-Sui Sun

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

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Integrable Hamiltonian system with two degrees of freedom. The topological structure of saturated neighbourhoods of points of focus-focus and saddle-saddle type

Sbornik Mathematics ◽

10.1070/sm1996v187n04abeh000122 ◽

1996 ◽

Vol 187 (4) ◽

pp. 495-524 ◽

Cited By ~ 25

Author(s):

V S Matveev

Keyword(s):

Hamiltonian System ◽

Topological Structure ◽

Degrees Of Freedom ◽

Integrable Hamiltonian System ◽

Two Degrees Of Freedom ◽

Saddle Type

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On the stability of a nonautonomous hamiltonian system with two degrees of freedom

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(69)90071-9 ◽

1969 ◽

Vol 33 (3) ◽

pp. 550-557 ◽

Cited By ~ 1

Author(s):

A.P. Markeev

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

The Stability

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On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(77)90083-1 ◽

1977 ◽

Vol 41 (1) ◽

pp. 20-28 ◽

Cited By ~ 17

Author(s):

A.G. Sokol'skii

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Order Resonance ◽

First Order ◽

Autonomous Hamiltonian System

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On the Constructive Algorithm for Stability Investigation of an Equilibrium Point of a Periodic Hamiltonian System with Two Degrees of Freedom in First-Order Resonance Case

Mechanics of Solids ◽

10.3103/s0025654418050023 ◽

2018 ◽

Vol 53 (S2) ◽

pp. 15-25

Author(s):

B. S. Bardin ◽

E. A. Chekina

Keyword(s):

Hamiltonian System ◽

Equilibrium Point ◽

Degrees Of Freedom ◽

Resonance Case ◽

Two Degrees Of Freedom ◽

Order Resonance ◽

Stability Investigation ◽

First Order ◽

Constructive Algorithm ◽

Periodic Hamiltonian System

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Asymptotic trajectories and the stability of the periodic motions of an autonomous hamiltonian system with two degrees of freedom

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(88)90079-2 ◽

1988 ◽

Vol 52 (3) ◽

pp. 283-289

Author(s):

A.P. Markeyev

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

Periodic Motions ◽

Two Degrees Of Freedom ◽

Autonomous Hamiltonian System ◽

The Stability

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On the non-existence of a supplementary meromorphic first integral in a Hamiltonian system with two degrees of freedom in the case of a bifurcation of solutions of an inhomogeneous reduced variational system

Russian Mathematical Surveys ◽

10.1070/rm1998v053n05abeh000087 ◽

1998 ◽

Vol 53 (5) ◽

pp. 1108-1109

Author(s):

S L Ziglin

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

First Integral ◽

Variational System ◽

Two Degrees Of Freedom ◽

Bifurcation Of Solutions

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The Classification of the Bifurcations Emerging in the case of an Integrable Hamiltonian System with Two Degrees of Freedom when an Isoenergetic Surface is Non-Compact

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2004.11.s1.16 ◽

2004 ◽

Vol 11 (sup1) ◽

pp. 122-129

Author(s):

Galina Goujvina

Keyword(s):

Hamiltonian System ◽

Degrees Of Freedom ◽

Integrable Hamiltonian System ◽

Two Degrees Of Freedom ◽

Isoenergetic Surface

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SPLITTING OF THE SEPARATRICES AND THE NONEXISTENCE OF FIRST INTEGRALS IN SYSTEMS OF DIFFERENTIAL EQUATIONS OF HAMILTONIAN TYPE WITH TWO DEGREES OF FREEDOM

Mathematics of the USSR-Izvestiya ◽

10.1070/im1988v031n02abeh001082 ◽

1988 ◽

Vol 31 (2) ◽

pp. 407-421 ◽

Cited By ~ 4

Author(s):

S L Ziglin

Keyword(s):

Differential Equations ◽

Degrees Of Freedom ◽

First Integrals ◽

Two Degrees Of Freedom ◽

Systems Of Differential Equations

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Self-intersection of complex asymptotic manifolds of hyperbolic equilibrium, position and non-existence of first integrals in the systems of the type of Hamiltonian with two degrees of freedom.

Journal of Radio Electronics ◽

10.30898/1684-1719.2019.5.5 ◽

2019 ◽

Vol 2019 (5) ◽

Author(s):

S.L. Ziglin ◽

Keyword(s):

Equilibrium Position ◽

Degrees Of Freedom ◽

First Integrals ◽

Two Degrees Of Freedom ◽

Hyperbolic Equilibrium ◽

Asymptotic Manifolds

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