Periodic Orbits of Continuous Mappings of the Circle

DOI10.2307/1998021zbMath0497.54040OpenAlexW4244574613MaRDI QIDQ3962182

Louis Stuart Block

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998021

zbMATH Keywords

periodic orbitsspace of continuous maps on the circle

Mathematics Subject Classification ID

Related Items

Forcing among patterns with no block structure, A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle, The full periodicity kernel of the trefoil, Transitivity and the centre for maps of the circle, Periods of Periodic Points of Maps of the Circle which Have a Fixed Point, Minimal Periodic Orbits of Continuous Mappings of the Circle, Coexistence of subharmonic periodic solutions having various periods of differential inclusions on the circle with admissible impulses of degrees \(D=-1,0,1\), Randomization of Sharkovsky-type results on the circle, No Division Implies Chaos, Sharkovsky-Type Theorems on S1 Applicable to Differential Equations, Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions, Period sets of linear toral endomorphisms on \(\mathbb{T}^2\), Sets of periods of dynamical systems, Sharp Block–Sharkovsky Type Theorem for Multivalued Maps on the Circle and Its Application to Differential Equations and Inclusions, Renormalization towers and their forcing, Minimizing topological entropy for maps of the circle, Rotational chaos and strange attractors on the 2-torus, Global convergence of the method of successive approximations on \(S^ 1\), Periodic orbits of continuous mappings of the circle without fixed points

Cites Work

• The Periodic Points of Morse-Smale Endomorphisms of the Circle
• Period Three Implies Chaos