Liouville Classification of Integrable Systems with Two Degrees of Freedom in Four-Dimensional Neighborhoods of Singular Points

2000 ◽

pp. 97-107

Author(s):

A. V. Bolsinov ◽

A. T. Fomenko

Keyword(s):

Integrable Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Trajectory Classification

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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

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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

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Quantum revivals in two degrees of freedom integrable systems: The torus case

Asymptotic Analysis ◽

10.3233/asy-2011-1069 ◽

2012 ◽

Vol 77 (1-2) ◽

pp. 1-41

Author(s):

Olivier Lablée

Keyword(s):

Integrable Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom ◽

Quantum Revivals

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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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Smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom. The case of systems with planar atoms

Russian Mathematical Surveys ◽

10.1070/rm1994v049n03abeh002260 ◽

1994 ◽

Vol 49 (3) ◽

pp. 181-182

Author(s):

A V Bolsinov

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom ◽

Trajectory Classification

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Classification of Local Surface Using Neural Network and Object Rotation of Two Degrees of Freedom

Lecture Notes in Computer Science - Knowledge-Based Intelligent Information and Engineering Systems ◽

10.1007/978-3-540-85565-1_112 ◽

2008 ◽

pp. 903-910

Author(s):

Takashi Kojima ◽

Yuji Iwahori ◽

Tsuyoshi Nakamura ◽

Shinji Fukui ◽

Robert J. Woodham ◽

...

Keyword(s):

Neural Network ◽

Degrees Of Freedom ◽

Local Surface ◽

Two Degrees Of Freedom ◽

Object Rotation

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Orbital Classification of Integrable Hamiltonian Systems with Two Degrees of Freedom. The Second Step

Integrable Hamiltonian Systems ◽

10.1201/9780203643426-12 ◽

2004 ◽

pp. 271-314

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Second Step ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom

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Modeling Nondegenerate Bifurcations of Closures of Solutions for Integrable Systems with Two Degrees of Freedom by Integrable Topological Billiards

Doklady Mathematics ◽

10.1134/s1064562418020230 ◽

2018 ◽

Vol 97 (2) ◽

pp. 174-176 ◽

Cited By ~ 6

Author(s):

V. V. Vedyushkina ◽

A. T. Fomenko ◽

I. S. Kharcheva

Keyword(s):

Integrable Systems ◽

Degrees Of Freedom ◽

Two Degrees Of Freedom

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Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity

Russian Mathematical Surveys ◽

10.1070/rm1990v045n02abeh002344 ◽

1990 ◽

Vol 45 (2) ◽

pp. 59-94 ◽

Cited By ~ 34

Author(s):

A V Bolsinov ◽

S V Matveev ◽

A T Fomenko

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Topological Classification ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom

Download Full-text

Liouville Classification of Integrable Systems with Two Degrees of Freedom in Four-Dimensional Neighborhoods of Singular Points

Trajectory Classification of Integrable Systems with Two Degrees of Freedom

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

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

Quantum revivals in two degrees of freedom integrable systems: The torus case

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

Smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom. The case of systems with planar atoms

Classification of Local Surface Using Neural Network and Object Rotation of Two Degrees of Freedom

Orbital Classification of Integrable Hamiltonian Systems with Two Degrees of Freedom. The Second Step

Modeling Nondegenerate Bifurcations of Closures of Solutions for Integrable Systems with Two Degrees of Freedom by Integrable Topological Billiards

Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity

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