Formal first integrals of general dynamical systems (Q310455)
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scientific article; zbMATH DE number 6625330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal first integrals of general dynamical systems |
scientific article; zbMATH DE number 6625330 |
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Formal first integrals of general dynamical systems (English)
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8 September 2016
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Summary: The goal of this paper is trying to make a complete study on the integrability for general analytic nonlinear systems by first integrals. We will firstly give an exhaustive discussion on analytic planar systems. Then a class of higher dimensional systems with invariant manifolds will be considered; we will develop several criteria for existence of formal integrals and give some applications to illustrate our results at last.
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integrability
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general analytic nonlinear systems
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criteria for existence of formal integrals
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