Periods of self-maps on \({\mathbb{S}}^2\) via their homology
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Publication:6585753
DOI10.1007/S11253-024-02308-9MaRDI QIDQ6585753
Publication date: 12 August 2024
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Periodic orbits of vector fields and flows (37C27) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)
Cites Work
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- Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\)
- \(\mathcal{C}^{1}\) 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
- Period Three Implies Chaos
- A Note on the Set of Periods of Transversal Homological Sphere Self-maps
- Periodic points of holomorphic maps via Lefschetz numbers
- Periods of continuous maps on some compact spaces
- Fixpoints of Polynomials and Rational Functions
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