Contents of Volume 94
Algebraic Methods in Dynamical Systems
Dedicated to Michael Singer on his 60th Birthday
Editors: Teresa Crespo and Zbigniew Hajto
ISBN: 978-83-86806-13-3,
Dedicated to Michael Singer on his 60th Birthday
Editors: Teresa Crespo and Zbigniew Hajto
ISBN: 978-83-86806-13-3,
- Preface, 5
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On the geometrization of a lemma of Singer and van der Put Banach Center Publications 94 (2011), 9-42 MSC: Primary 12H05; Secondary 13B05, 13N10. DOI: 10.4064/bc94-0-1
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Inverse problems of symbolic dynamics Banach Center Publications 94 (2011), 43-60 MSC: Primary 37B; Secondary 05E. DOI: 10.4064/bc94-0-2
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Quasialgebraic functions Banach Center Publications 94 (2011), 61-81 MSC: Primary 34C08, 32S65, 34M03, 34M56; Secondary 34C07, 34M35, 34M99. DOI: 10.4064/bc94-0-3
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Analysis of singularities and of integrability of ODE's by algorithms of Power Geometry Banach Center Publications 94 (2011), 83-98 MSC: Primary 34E05; Secondary 37G05. DOI: 10.4064/bc94-0-4
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Differential overconvergence Banach Center Publications 94 (2011), 99-129 MSC: Primary 11F32; Secondary 11F85, 11G18. DOI: 10.4064/bc94-0-5
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Branching data for algebraic functions and representability by radicals Banach Center Publications 94 (2011), 131-142 MSC: Primary 12F10; Secondary 14H05, 14H30. DOI: 10.4064/bc94-0-6
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Algebraic foliations defined by complete vector fields Banach Center Publications 94 (2011), 143-151 MSC: Primary 32M25; Secondary 32L30, 32S65. DOI: 10.4064/bc94-0-7
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Liouvillian first integrals of differential equations Banach Center Publications 94 (2011), 153-161 MSC: 34M15. DOI: 10.4064/bc94-0-8
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Drinfeld–Sokolov hierarchies on truncated current Lie algebras Banach Center Publications 94 (2011), 163-171 MSC: Primary 17B69, 37K10; Secondary 37K30. DOI: 10.4064/bc94-0-9
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Taylor obstruction to the integrability of homogeneous potentials of degree two. An application of higher order variational equations Banach Center Publications 94 (2011), 173-185 MSC: 70Hxx, 37J30. DOI: 10.4064/bc94-0-10
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Integrability and limit cycles for Abel equations Banach Center Publications 94 (2011), 187-196 MSC: Primary 34C29; Secondary 34C25, 58F22. DOI: 10.4064/bc94-0-11
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On the classical non-integrability of the Hamiltonian system for hydrogen atoms in crossed electric and magnetic fields Banach Center Publications 94 (2011), 197-204 MSC: Primary 37J30; Secondary 81V45, 70H07. DOI: 10.4064/bc94-0-12
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Linear differential equations and Hurwitz series Banach Center Publications 94 (2011), 205-213 MSC: Primary 12H05; Secondary 12H20. DOI: 10.4064/bc94-0-13
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On the problem of Baer and Kolchin in the Picard-Vessiot theory Banach Center Publications 94 (2011), 215-220 MSC: 12Hxx, 01A05. DOI: 10.4064/bc94-0-14
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Overview of the differential Galois integrability conditions for non-homogeneous potentials Banach Center Publications 94 (2011), 221-232 MSC: 37J30, 70Hxx. DOI: 10.4064/bc94-0-15
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Base change for Picard–Vessiot closures Banach Center Publications 94 (2011), 233-238 MSC: 12H05. DOI: 10.4064/bc94-0-16
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On the envelope of a vector field Banach Center Publications 94 (2011), 239-246 MSC: Primary 37C10; Secondary 34Lxx. DOI: 10.4064/bc94-0-17
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Families of linear differential equations related to the second Painlevé equation Banach Center Publications 94 (2011), 247-262 MSC: Primary 14D20; Secondary 14D22, 34M55. DOI: 10.4064/bc94-0-18
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Picard-Vessiot theory in general Galois theory Banach Center Publications 94 (2011), 263-293 MSC: Primary 12H05; Secondary 12H10. DOI: 10.4064/bc94-0-19
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A simple proof of the non-integrability of the first and the second Painlevé equations Banach Center Publications 94 (2011), 295-302 MSC: Primary 34M55; Secondary 37J30. DOI: 10.4064/bc94-0-20