Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials
Sign Up to like & getrecommendations! Published in 2021 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2021.133050
Abstract: aResearch Center for Astronomy, Academy of Athens, Soranou Efessiou 4, 115 27 Athens, Greece bLaboratoire de Physique Théorique et Modélisation, CY Cergy Paris Université, CNRS, UMR 8089, 95302 Cergy-Pontoise cedex, France cAstronomical Observatory, University of… read more here.
Keywords: mathematics; complex unstable; unstable periodic; chaoticity vicinity ... See more keywords
Irreversible mixing by unstable periodic orbits in buoyancy dominated stratified turbulence
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.695
Abstract: We consider turbulence driven by a large-scale horizontal shear in Kolmogorov flow (i.e. with sinusoidal body forcing) and a background linear stable stratification with buoyancy frequency $N_{B}^{2}$ imposed in the third, vertical direction in a… read more here.
Keywords: unstable periodic; periodic orbits; buoyancy; unicode stix ... See more keywords
Leveraging neural differential equations and adaptive delayed feedback to detect unstable periodic orbits based on irregularly sampled time series.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0143839
Abstract: Detecting unstable periodic orbits (UPOs) based solely on time series is an essential data-driven problem, attracting a great deal of attention and arousing numerous efforts, in nonlinear sciences. Previous efforts and their developed algorithms, though… read more here.
Keywords: time; periodic orbits; time series; unstable periodic ... See more keywords
Data-driven guessing and gluing of unstable periodic orbits.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/9vjc-g86s
Abstract: Unstable periodic orbits (UPOs) are believed to be the underlying dynamical structures of spatiotemporal chaos and turbulence. Finding these UPOs is, however, notoriously difficult. Matrix-free loop convergence algorithms deform entire space-time fields (loops) until they… read more here.
Keywords: unstable periodic; space; periodic orbits; data driven ... See more keywords
Quantum many-body scars from unstable periodic orbits
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.110.144302
Abstract: Unstable periodic orbits (UPOs) play a key role in the theory of chaos, constituting the"skeleton"of classical chaotic systems and"scarring"the eigenstates of the corresponding quantum system. Recently, nonthermal many-body eigenstates embedded in an otherwise thermal spectrum… read more here.
Keywords: quantum many; unstable periodic; periodic orbits; body scars ... See more keywords
Data-Driven Stabilization of Unstable Periodic Orbits of the Three-Body Problem
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Access"
DOI: 10.1109/access.2025.3634743
Abstract: Many different models of the physical world exhibit chaotic dynamics, from fluid flows and chemical reactions to celestial mechanics. The study of the three-body problem (3BP) and its many different families of unstable periodic orbits… read more here.
Keywords: unstable periodic; periodic orbits; three body; data driven ... See more keywords