Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Algebraic Methods in Dynamical Systems

The Guest Editors for this special issue are

Teresa Crespo (Universitat de Barcelona, Spain)
Andrzej Maciejewski (Zielona Góra University, Poland)
Juan J. Morales-Ruiz (Universidad Politécnica de Madrid, Spain)
Emmanuel Paul (Université Paul Sabatier, France)
Alexei Tsygvintsev (l'Ecole Normale Supérieure de Lyon, France)

Topics for this special issue will include:

  • differential and difference Galois theory;
  • integrability of dynamical systems and PDE's;
  • integrability in quantum mechanics and spectral theory;
  • special functions;
  • Painlevé transcendents;
  • other topics related to differential Galois theory.

This issue is related to the International Conference on Algebraic Methods in Dynamical Systems which was held at Universidad Politécnica de Madrid, Spain in June 18–22, 2018.

Conference participants and others whose work is concerned with the above topics are invited to submit papers to the special issue. For this issue, both original research articles and review papers are welcome.

How to Submit an Article to the Issue.

There are no paper length limits to the submitted works. Deadline for the submission is January 31, 2019.

All articles will go through the standard peer reviewing procedure of SIGMA.

Papers in this Issue:

Variations for Some Painlevé Equations
Primitivo B. Acosta-Humánez, Marius van der Put and Jaap Top
SIGMA 15 (2019), 088, 10 pages   [ abs   pdf ]
The Ramificant Determinant
Kingshook Biswas and Ricardo Pérez-Marco
SIGMA 15 (2019), 086, 28 pages   [ abs   pdf ]
Stratified Bundles on Curves and Differential Galois Groups in Positive Characteristic
Marius van der Put
SIGMA 15 (2019), 071, 24 pages   [ abs   pdf ]
Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification
Moulay A. Barkatou and Renat R. Gontsov
SIGMA 15 (2019), 058, 15 pages   [ abs   pdf ]
Differential Galois Theory and Isomonodromic Deformations
David Blázquez Sanz, Guy Casale and Juan Sebastián Díaz Arboleda
SIGMA 15 (2019), 055, 35 pages   [ abs   pdf ]
Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers
Kazuyuki Yagasaki and Shogo Yamanaka
SIGMA 15 (2019), 049, 17 pages   [ abs   pdf ]
Rational KdV Potentials and Differential Galois Theory
Sonia Jiménez, Juan J. Morales-Ruiz, Raquel Sánchez-Cauce and María-Ángeles Zurro
SIGMA 15 (2019), 047, 40 pages   [ abs   pdf ]
Jacobian Conjecture via Differential Galois Theory
Elżbieta Adamus, Teresa Crespo and Zbigniew Hajto
SIGMA 15 (2019), 034,   7 pages   [ abs   pdf ]

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