Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья › Рецензирование
Antiquantization as a specific way from the Statistical physics to the Regular physics. / Slavyanov, Sergey; Stesik, Olga.
в: Physica A: Statistical Mechanics and its Applications, Том 521, 01.05.2019, стр. 512-518.Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья › Рецензирование
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TY - JOUR
T1 - Antiquantization as a specific way from the Statistical physics to the Regular physics
AU - Slavyanov, Sergey
AU - Stesik, Olga
PY - 2019/5/1
Y1 - 2019/5/1
N2 - An extended analysis is given of links between linear Heun class equations and the nonlinear Painlevé equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlevé equations in an nonconventional manner is presented.
AB - An extended analysis is given of links between linear Heun class equations and the nonlinear Painlevé equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlevé equations in an nonconventional manner is presented.
KW - Antiquantization
KW - Apparent singularity
KW - Confluent Heun equation
KW - Fuchsian singularity
KW - Heun equation
KW - Isomonodromic property
KW - Painlevé equation
KW - Painleve equation
UR - http://www.scopus.com/inward/record.url?scp=85060906782&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/antiquantization-specific-way-statistical-physics-regular-physics
U2 - 10.1016/j.physa.2019.01.061
DO - 10.1016/j.physa.2019.01.061
M3 - Review article
AN - SCOPUS:85060906782
VL - 521
SP - 512
EP - 518
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
ER -
ID: 38730170