Generic properties of magnetic flows

2016/01/05 by Alexander Arbieto, Arbieto, Alexander, Freddy H. Castro +2
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Characterization and Applications of Magnetic Nanoparticles #Dynamical Systems (math.DS) #FOS: Mathematics #Geomagnetism and Paleomagnetism Studies #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.1601.00935

arXiv admin note: text overlap with arXiv:1502.01145 by other authors

arxiv created 2016/01/05 · openalex publication_date 2016/01/05 · arxiv updated 2016/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain Kupka-Smale theorem and Franks lemma for magnetic flows on manifolds with any dimension. This improves Miranda result on surfaces. However our methods relies on geometric control theory, like in Rifford and Ruggiero articles.

Citations

• Franks' Lemma for C²-Mané Perturbations of Riemannian Metrics and Applications to Persistence

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