Chini equations and isochronous centers in three-dimensional differential systems

被引：0

作者：

Chamberl M. ^{[1
]}

Gasull A. ^{[2
]}

机构：

[1] Department of Mathematics and Statistics, Grinnell College, Grinnell

[2] Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Edifici Cc

来源：

Qualitative Theory of Dynamical Systems | 2010年 / 9卷 / 1-2期

关键词：

Abel equations; Chini equations; Isochronous centers; Limit cycles; Periodic orbits;

D O I：

10.1007/s12346-010-0019-4

中图分类号：

学科分类号：

摘要：

We study the number of limit cycles of T -periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. © Springer Basel AG 2010.

引用

页码：29 / 38

页数：9

共 50 条

[41] The three-dimensional structures of bacterial reaction centers
T. L. Olson
J. C. Williams
J. P. Allen
[J]. Photosynthesis Research, 2014, 120 : 87 - 98
[42] Oscillatory properties of solutions of three-dimensional differential systems of neutral type
Eva Špániková
[J]. Czechoslovak Mathematical Journal, 2000, 50 : 879 - 887
[43] Oscillatory properties of solutions of three-dimensional differential systems of neutral type
Spániková, E
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2000, 50 (04) : 879 - 887
[44] Lorentz covariance of three-dimensional equations
Pascalutsa, V
Tjon, JA
[J]. FEW-BODY PROBLEMS IN PHYSICS '98, 1999, 10 : 105 - 114
[45] LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS
Huang, Bo
Niu, Wei
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (03): : 943 - 961
[46] Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
Cen, Xiuli
Liu, Changjian
Yang, Lijun
Zhang, Meirong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (12) : 6083 - 6126
[47] Friedrichs systems for systems of wave equations and shear waves in a three-dimensional elastic medium
Chirkunov, Yu. A.
[J]. JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2010, 51 (06) : 877 - 886
[48] Friedrichs systems for systems of wave equations and shear waves in a three-dimensional elastic medium
Yu. A. Chirkunov
[J]. Journal of Applied Mechanics and Technical Physics, 2010, 51 : 877 - 886
[49] Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems
V. V. Amel’kin
[J]. Differential Equations, 2023, 59 : 439 - 439
[50] RETRACTED ARTICLE: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems
V. V. Amel’kin
[J]. Differential Equations, 2022, 58 : 847 - 851

← 1 2 3 4 5 →