integrable mappings
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A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property

Proceedings of the American Mathematical Society ◽

10.1090/proc/15657 ◽

2021 ◽

pp. 1

Author(s):

Zhichao Ma ◽

Junxiang Xu

Keyword(s):

Intersection Property ◽

Integrable Mappings ◽

Twist Theorem

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Integrable Mappings from a Unified Perspective

Integrable Systems and Algebraic Geometry ◽

10.1017/9781108773287.011 ◽

2020 ◽

pp. 217-264

Keyword(s):

Integrable Mappings

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Integrable mappings and the notion of anticonfinement

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aac578 ◽

2018 ◽

Vol 51 (26) ◽

pp. 265201 ◽

Cited By ~ 2

Author(s):

T Mase ◽

R Willox ◽

A Ramani ◽

B Grammaticos

Keyword(s):

Integrable Mappings

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Analytic methods to generate integrable mappings

Pramana ◽

10.1007/s12043-015-1102-9 ◽

2015 ◽

Vol 85 (5) ◽

pp. 807-821

Author(s):

C UMA MAHESWARI ◽

R SAHADEVAN

Keyword(s):

Analytic Methods ◽

Integrable Mappings

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Law of large numbers and Ergodic Theorem for convex weak star compact valued Gelfand-integrable mappings

Advances in Mathematical Economics - Advances in Mathematical Economics Volume 17 ◽

10.1007/978-4-431-54324-4_1 ◽

2013 ◽

pp. 1-37 ◽

Cited By ~ 2

Author(s):

C. Castaing ◽

P. Raynaud de Fitte

Keyword(s):

Ergodic Theorem ◽

Law Of Large Numbers ◽

Large Numbers ◽

Weak Star ◽

Integrable Mappings ◽

Star Compact

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A classification of two-dimensional integrable mappings and rational elliptic surfaces

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/45/15/155206 ◽

2012 ◽

Vol 45 (15) ◽

pp. 155206 ◽

Cited By ~ 4

Author(s):

A S Carstea ◽

T Takenawa

Keyword(s):

Two Dimensional ◽

Elliptic Surfaces ◽

Integrable Mappings ◽

Rational Elliptic Surfaces

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Growth of degrees of integrable mappings

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2010.510137 ◽

2012 ◽

Vol 18 (3) ◽

pp. 447-460 ◽

Cited By ~ 5

Author(s):

Peter H. van der Kamp

Keyword(s):

Integrable Mappings

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CONVERGENCE THEOREMS FOR SET-VALUED DENJOY-PETTIS INTEGRABLE MAPPINGS

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2009.24.2.227 ◽

2009 ◽

Vol 24 (2) ◽

pp. 227-237

Author(s):

Chun-Kee Park

Keyword(s):

Convergence Theorems ◽

Integrable Mappings

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Higher dimensional integrable mappings derived from coupled discrete nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.3100207 ◽

2009 ◽

Vol 50 (4) ◽

pp. 043502 ◽

Cited By ~ 1

Author(s):

R. Sahadevan ◽

S. Rajakumar

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Higher Dimensional ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations ◽

Integrable Mappings

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INTEGRABLE DISCRETIZATIONS OF A TWO-DIMENSIONAL HAMILTONIAN SYSTEM WITH A QUARTIC POTENTIAL

International Journal of Modern Physics B ◽

10.1142/s0217979208039228 ◽

2008 ◽

Vol 22 (12) ◽

pp. 1911-1922

Author(s):

BAO-FENG FENG ◽

KEN-ICHI MARUNO

Keyword(s):

Hamiltonian System ◽

Separation Of Variables ◽

Bilinear Forms ◽

Two Dimensional ◽

Quartic Potential ◽

Integrable Mappings

In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable mappings for the first three among four integrable cases.

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