Set-Valued Chaos in Linear Dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-017-2394-6
Abstract: We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator $$T : X \rightarrow X$$T:X→X on a topological vector space X, and the… read more here.
Keywords: space; chaos linear; set valued; valued chaos ... See more keywords
Arithmetic Progressions and Chaos in Linear Dynamics
Sign Up to like & getrecommendations! Published in 2022 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-022-02687-3
Abstract: We characterize chaotic linear operators on reflexive Banach spaces in terms of the existence of long arithmetic progressions in the sets of return times. To achieve this, we study $\mathcal F$-hypercyclicity for two families of… read more here.
Keywords: chaos linear; progressions chaos; linear dynamics; arithmetic progressions ... See more keywords
Influence Of Performance Level Of Male Runners On Non-linear Dynamics Of Heart Rate Variability During a 10Km Race
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Performance Analysis in Sport"
DOI: 10.1080/24748668.2020.1764746
Abstract: ABSTRACT The present study examines the influence of a 10 km race of runners with different performance levels on time-domain measures and non-linear dynamics of HRV. Twenty-two male recreational to elite runners performed a self-paced… read more here.
Keywords: non linear; linear dynamics; performance; influence ... See more keywords
Non-linear dynamics of multimode semiconductor lasers: dispersion-based phase instability and route to single-frequency operation.
Sign Up to like & getrecommendations! Published in 2023 at "Optics letters"
DOI: 10.1364/ol.482138
Abstract: Emission dynamics of a multimode broadband interband semiconductor laser have been investigated experimentally and theoretically. Non-linear dynamics of a III-V semiconductor quantum well surface-emitting laser reveal the existence of a modulational instability, observed in the… read more here.
Keywords: linear dynamics; single frequency; dynamics multimode; semiconductor ... See more keywords