\(\mathcal{C}^{1}\) self-maps on \(\mathbb {S}^{n}\), \(\mathbb {S}^{n} \times \mathbb {S}^{m}\), \(\mathbb {C}\mathbf P^{n}\) and \(\mathbb {H}\mathbf P^{n}\) with all their periodic orbits hyperbolic

DOI10.11650/TWJM/1500406543zbMATH Open1243.37023OpenAlexW4240455728MaRDI QIDQ763738

Jaume Llibre, Juan Luis García Guirao

Publication date: 29 March 2012

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/1596

zbMATH Keywords

spherecomplex projective spaceLefschetz zeta functionhyperbolic periodic orbitleast period

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Periods of self-maps on \({\mathbb{S}}^2\) via their homology

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