dorsal/arxiv
View SchemaFinsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems
| Authors | Valery S. Dryuma, Makoto Matsumoto |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9803003 |
| URL | https://arxiv.org/abs/solv-int/9803003 |
Abstract
A two dimensional Finsler space associated with the differential equation $y''=Y_3 y'^3+Y_2 y'^2+Y_1 y'+Y_0$ is characterized by a tensor equation and called the Douglas space. An application to the Lorenz nonlinear dynamical equation is discussed from the standpoint of Finsler geometry.
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"abstract": "A two dimensional Finsler space associated with the differential equation\n$y\u0027\u0027=Y_3 y\u0027^3+Y_2 y\u0027^2+Y_1 y\u0027+Y_0$ is characterized by a tensor equation and\ncalled the Douglas space. An application to the Lorenz nonlinear dynamical\nequation is discussed from the standpoint of Finsler geometry.",
"arxiv_id": "solv-int/9803003",
"authors": [
"Valery S. Dryuma",
"Makoto Matsumoto"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems",
"url": "https://arxiv.org/abs/solv-int/9803003"
},
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