Periodic Motions for FPU Lattice Systems with Asymptotically Quadratic Potentials
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9639-6
Abstract: In this paper, we consider the following autonomous Fermi–Pasta–Ulam lattice dynamical system: $$\begin{aligned} \ddot{q}_{i}=\Phi '_{i-1}(q_{i-1}-q_{i})-\Phi '_{i}(q_{i}-q_{i+1}),\qquad i\in \mathbb {Z}, \end{aligned}$$q¨i=Φi-1′(qi-1-qi)-Φi′(qi-qi+1),i∈Z,where $$\Phi _{i}$$Φi denotes the interaction potential between two neighboring particles and $$q_{i}(t)$$qi(t) is the state… read more here.
Keywords: fpu lattice; lattice systems; asymptotically quadratic; periodic motions ... See more keywords
Oscillation dynamics of colloidal particles caused by surfactant in an evaporating droplet
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mechanical Science and Technology"
DOI: 10.1007/s12206-020-0128-1
Abstract: Surfactant-induced Marangoni flows can alter the typical outward capillary flows in a drying droplet. Previous studies show that intricate time-dependent periodic motions of colloidal particles, such as Marangoni eddies and back-and-forth oscillatory motions, can be… read more here.
Keywords: periodic motions; dynamics colloidal; surfactant concentration; colloidal particles ... See more keywords
Three-dimensional vibration of cantilevered fluid-conveying micropipes—Types of periodic motions and small-scale effect
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2018.04.001
Abstract: Abstract A new theoretical model is developed for the three-dimensional (3D) nonlinear vibration analysis of fluid-conveying cantilevered micropipes. Particular attention is given on the derivation and analysis of the reduced equations, and the small-scale effect… read more here.
Keywords: three dimensional; periodic motions; small scale; types periodic ... See more keywords
Periodic motions and homoclinic orbits in a discontinuous dynamical system on a single domain with multiple vector fields.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0085548
Abstract: In this paper, periodic motions and homoclinic orbits in a discontinuous dynamical system on a single domain with two vector fields are discussed. Constructing periodic motions and homoclinic orbits in discontinuous dynamical systems is very… read more here.
Keywords: homoclinic orbits; periodic motions; discontinuous dynamical; dynamical system ... See more keywords
Period-3 motions to chaos in a periodically forced nonlinear-spring pendulum.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0121990
Abstract: In this paper, the complete bifurcation dynamics of period-3 motions to chaos are obtained semi-analytically through the implicit mapping method. Such an implicit mapping method employs discrete implicit maps to construct mapping structures of periodic… read more here.
Keywords: spring pendulum; periodic motions; period motions; motions chaos ... See more keywords
Robust Heart Rate Monitoring for Quasi-Periodic Motions by Wrist-Type PPG Signals
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Journal of Biomedical and Health Informatics"
DOI: 10.1109/jbhi.2019.2912708
Abstract: Heart rate (HR) monitoring using photoplethysmography (PPG) is a promising feature in modern wearable devices. PPG is easily contaminated by motion artifacts (MA), hindering estimation of HR. For quasi-periodic motions, previous works generally focused on… read more here.
Keywords: periodic motions; quasi periodic; heart rate;
Generalized-periodic motions of nonautonomous systems
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DOI: 10.1134/s0012266117010013
Abstract: The definition and existence criterion are given for the generalized-periodic motions of a certain wide class of systems. The class contains all the systems that can be characterized by the classical periodic operator of displacement,… read more here.
Keywords: motions nonautonomous; periodic motions; generalized periodic; nonautonomous systems ... See more keywords
Novel hybrid visual stimuli incorporating periodic motions into conventional flickering or pattern-reversal visual stimuli for steady-state visual evoked potential-based brain-computer interfaces
Sign Up to like & getrecommendations! Published in 2022 at "Frontiers in Neuroinformatics"
DOI: 10.3389/fninf.2022.997068
Abstract: In this study, we proposed a new type of hybrid visual stimuli for steady-state visual evoked potential (SSVEP)-based brain-computer interfaces (BCIs), which incorporate various periodic motions into conventional flickering stimuli (FS) or pattern reversal stimuli… read more here.
Keywords: ssvep based; periodic motion; visual stimuli; hybrid visual ... See more keywords