Web Geometry of a System of First-Order Autonomous Ordinary Differential Equations

被引：0

作者：

Mehdi Nadjafikhah

Rohollah Bakhshandeh-Chamazkoti

机构：

[1] Iran University of Science and Technology,School of Mathematics

[2] Babol University of Technology,Department of Mathematics, Faculty of Basic Science

来源：

Journal of Dynamical and Control Systems | 2015年 / 21卷

关键词：

Cartan equivalence problem; Web geometry; Autonomous ordinary differential equations; Normalization; Lorentz system; 53A55; 58A15; 37C80;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The goal of this paper is to propose Cartan equivalence problem for a system of n first-order autonomous ordinary differential equations (ODEs) under a Web transformation. In fact, we obtain the necessary and sufficient conditions in the form of differential invariants of this system of n first-order ODEs in the Web geometry.

引用

页码：655 / 663

页数：8

共 50 条

[1] Web Geometry of a System of First-Order Autonomous Ordinary Differential Equations
Nadjafikhah, Mehdi
Bakhshandeh-Chamazkoti, Rohollah
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2015, 21 (04) : 655 - 663
[2] PROBABILISTIC SOLUTION OF RANDOM AUTONOMOUS FIRST-ORDER LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Cortes, J-C
Navarro-Quiles, A.
Romero, J-V
Rosello, M-D
[J]. ROMANIAN REPORTS IN PHYSICS, 2016, 68 (04) : 1397 - 1406
[3] Conformal symmetries of first-order ordinary differential equations
Hydon, PE
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (02): : 385 - 392
[4] On the Lie Symmetries of First-order Ordinary Differential Equations
Bildik, Necdet
Accl, Mehmet
[J]. 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 2575 - 2578
[5] Lie Point Symmetries of Autonomous Scalar First-Order Itô Stochastic Delay Ordinary Differential Equations
Aminu Ma’aruf Nass
[J]. Journal of Theoretical Probability, 2022, 35 : 1939 - 1951
[6] A Study of Movable Singularities in Non-Algebraic First-Order Autonomous Ordinary Differential Equations
Liu, Xingyu
[J]. MATHEMATICS, 2024, 12 (13)
[7] Differential inequalities for functional perturbations of first-order ordinary differential equations
Nieto, JJ
[J]. APPLIED MATHEMATICS LETTERS, 2002, 15 (02) : 173 - 179
[8] On Liouvillian integrability of the first-order polynomial ordinary differential equations
Gine, Jaume
Llibre, Jaume
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (02) : 802 - 805
[9] Symmetries of first-order stochastic ordinary differential equations revisited
Fredericks, E.
Mahomed, F. M.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (16) : 2013 - 2025
[10] First-order impulsive ordinary differential equations with advanced arguments
Jankowski, Tadeusz
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 1 - 12

← 1 2 3 4 5 →