Zobrazeno 1 - 4
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pro vyhledávání: '"Buend��a, Jos�� Gin��s Esp��n"'
A topological classification of plane polynomial systems having a globally attracting singular point
In this paper, plane polynomial systems having a singular point attracting all orbits in positive time are classified up to topological equivalence. This is done by assigning a combinatorial invariant to the system (a so-called "feasible set" consist
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https://explore.openaire.eu/search/publication?articleId=doi_________::2145039943054f0a646209a6e9a5387a
We characterize the limit periodic sets of families of polynomial planar vector fields up to homeomorphisms. We show that any limit periodic set is topologically equivalent to a compact and connected semialgebraic set of the sphere with empty interio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b22b95550fd808dbb7a7041573de5d9
A well-known result by L. Markus, later extended by D. A. Neumann, states that two continuous flows on a surface are equivalent if and only if there is a surface homeomorphism preserving orbits and time directions of their separatrix configurations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fda864c7cc568b00760beccfd283765
In [15], V. Jimenez and J. Llibre characterized, up to homeomorphism, the omega limit sets of analytic vector fields on the sphere and the projective plane. The authors also studied the same problem for open subsets of these surfaces. Unfortunately,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::347565c9b84e8502915278653f1d7be9