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pro vyhledávání: '"Pereira, Pedro C. C. R."'
When a dynamical system is subject to a periodic perturbation, the averaging method can be applied to obtain an autonomous leading order `guiding system', placing the time dependence at higher orders. Recent research focused on investigating invarian
Externí odkaz:
http://arxiv.org/abs/2409.11054
Publikováno v:
Bulletin des Sciences Mathematiques, Volume 190, 2024, 103378
Floquet's Theorem is a celebrated result in the theory of ordinary differential equations. Essentially, the theorem states that, when studying a linear differential system with $T$-periodic coefficients, we can apply a, possibly complex, $T$-periodic
Externí odkaz:
http://arxiv.org/abs/2312.05608
Publikováno v:
Mathematische Annalen (2024) 389:543-590
Important information about the dynamical structure of a differential system can be revealed by looking into its invariant compact manifolds, such as equilibria, periodic orbits, and invariant tori. This knowledge is significantly increased if asympt
Externí odkaz:
http://arxiv.org/abs/2305.11821
Hilbert's 16th Problem, about the maximum number of limit cycles of planar polynomial vector fields of a given degree $m$, has been one of the most important driving forces for new developments in the qualitative theory of vector fields. Increasing t
Externí odkaz:
http://arxiv.org/abs/2212.12006
Publikováno v:
Journal de Math\'ematiques Pures et Appliqu\'ees, 2023
Determining the existence of compact invariant manifolds is a central quest in the qualitative theory of differential equations. Singularities, periodic solutions, and invariant tori are examples of such invariant manifolds. A classical and useful re
Externí odkaz:
http://arxiv.org/abs/2208.10989
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Publikováno v:
Mathematische Annalen; May2024, Vol. 389 Issue 1, p543-590, 48p
Akademický článek
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The 16th Hilbert's Problem, about the maximum number of limit cycles of planar polynomial vector fields of a given degree $m$, has been one of the most important driving forces for new developments in the qualitative theory of vector fields. Increasi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7db1ff2b2494a9db228606cff930da3f