Zobrazeno 1 - 10
of 1 003
pro vyhledávání: '"autonomous ODEs"'
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations (ODEs). Under the specific form of the principal term of blow-up solu
Externí odkaz:
http://arxiv.org/abs/2211.06865
In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-time blow-ups for ODEs with quasi-homogeneity in an asymptotic sense. As
Externí odkaz:
http://arxiv.org/abs/2211.06868
Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials
Publikováno v:
Bulletin of Computational Applied Mathematics, Vol 7, Iss 1, Pp 83-106 (2020)
In this paper, a new practical formulas of Adomian polynomials has been adapted to resolve nonlinear and non-autonomous ordinary differential equations by the Adomian decomposition method, a simple computational for this new polynomials has been sugg
Externí odkaz:
https://doaj.org/article/ac40cfd74ff244a8bf01fa3585c48e25
Autor:
Matsue, Kaname
Geometric treatments of blow-up solutions for autonomous ordinary differential equations and their blow-up rates are concerned. Our approach focuses on the type of invariant sets at infinity via compactifications of phase spaces, and dynamics on thei
Externí odkaz:
http://arxiv.org/abs/1806.08487
Autor:
Matsue, Kaname
Publikováno v:
In Journal of Differential Equations 5 December 2019 267(12):7313-7368
Autor:
Yue Liu, Herbert Ho-Ching Iu
Publikováno v:
IEEE Access, Vol 8, Pp 77171-77178 (2020)
Three-dimensional autonomous ordinary differential equations (ODEs) are the simplest and most important chaotic systems in nonlinear dynamics. In fact, they have been applied in many fields. In this paper, a systematic methodology for analyzing compl
Externí odkaz:
https://doaj.org/article/66aeea8b14374e329e930f888fc665d2
Akademický článek
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Autor:
Magne Stensland
Publikováno v:
Journal of Applied Mathematics and Physics. 11:115-134
Autor:
Magne Stensland
Publikováno v:
Journal of Applied Mathematics and Physics. 11:1077-1097
Akademický článek
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