Two new recurrent levels for \(C ^{0}\)-flows

DOI10.1007/s10440-012-9681-7zbMath1246.37027OpenAlexW2044785334MaRDI QIDQ411463

Yu Huang, Zuo Ling Zhou

Publication date: 4 April 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9681-7

zbMATH Keywords

minimal center of attractionweakly almost periodic point\(C ^{0}\)-semiflowlevels of orbitsmeasure centerquasi-weakly periodic point

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Periodic orbits of vector fields and flows (37C27) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items

On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows ⋮ On quasi-weakly almost periodic points of continuous flows ⋮ Recurrence and the minimal center of attraction with respect to a Følner sequence ⋮ Chaotic dynamics of minimal center of attraction of discrete amenable group actions ⋮ Unnamed Item ⋮ Banach upper density recurrent points of \(C^{0}\)-flows ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weakly Birkhoff recurrent switching signals, almost sure and partial stability of linear switched dynamical systems
• Measure centre and minimal centre of attraction
• On the concept of attractor
• On the concept of attractor: correction and remarks
• Weakly almost periodic point and ergodic measure
• Level of the orbit's topological structure and topological semi-conjugacy
• Almost periodic points with respect to transformation semi-groups
• Attractors: Persistence, and Density of Their Basins
• A characterization of recurrent motions