Chaotic dynamics in the seasonally forced SIR epidemic model
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-017-1130-9
Abstract: We prove analytically the existence of chaotic dynamics in the forced SIR model. Although numerical experiments have already suggested that this model can exhibit chaotic dynamics, a rigorous proof (without computer-aided) was not given before.… read more here.
Keywords: seasonally forced; chaotic dynamics; forced sir; sir epidemic ... See more keywords
Generation of Chaotic Dynamics and Local Equilibrium for the Carleman Equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-017-3449-6
Abstract: We study local equilibrium of solutions to the Cauchy problem with bounded energy and generation of chaotic dynamics. read more here.
Keywords: dynamics local; chaotic dynamics; generation chaotic; local equilibrium ... See more keywords
Chaotic dynamics of a continuous and discrete generalized Ziegler pendulum
Sign Up to like & getrecommendations! Published in 2024 at "Meccanica"
DOI: 10.1007/s11012-024-01848-5
Abstract: We present analytical and numerical results on integrability and transition to chaotic motion for a generalized Ziegler pendulum, a double pendulum subject to an angular elastic potential and a follower force. Several variants of the… read more here.
Keywords: chaotic dynamics; pendulum; dynamics continuous; generalized ziegler ... See more keywords
Chaotic Dynamics Mediate Brain State Transitions, Driven by Changes in Extracellular Ion Concentrations.
Sign Up to like & getrecommendations! Published in 2017 at "Cell systems"
DOI: 10.1016/j.cels.2017.11.011
Abstract: Previous studies have suggested that changes in extracellular ion concentrations initiate the transition from an activity state that characterizes sleep in cortical neurons to states that characterize wakefulness. However, because neuronal activity and extracellular ion… read more here.
Keywords: state; chaotic dynamics; changes extracellular; ion concentrations ... See more keywords
Entraining chaotic dynamics: A novel movement sonification paradigm could promote generalization.
Sign Up to like & getrecommendations! Published in 2018 at "Human movement science"
DOI: 10.1016/j.humov.2018.06.016
Abstract: Tasks encountered in daily living may have instabilities and more dimensions than are sampled by the senses such as when carrying a cup of coffee and only the surface motion and overall momentum are sensed,… read more here.
Keywords: generalization; chaotic dynamics; movement; non interactive ... See more keywords
Chaotic dynamics of a piecewise linear model of credit cycles
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Economics"
DOI: 10.1016/j.jmateco.2018.11.001
Abstract: By incorporating information imperfection into the model of Asano et al. (2012), which is a special case of Matsuyama's (2007) model, we develop a model of endogenous business cycles to analyze how information imperfection affects… read more here.
Keywords: chaotic dynamics; piecewise linear; model; dynamics piecewise ... See more keywords
Synchronized, periodic, and chaotic dynamics in spin torque oscillator with two free layers
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2019.03.090
Abstract: Abstract A phase diagram of the magnetization dynamics is studied by numerically solving the Landau-Lifshitz-Gilbert (LLG) equation in a spin torque oscillator consisting of asymmetric two free layers that are magnetized in in-plane direction. We… read more here.
Keywords: chaotic dynamics; spin torque; two free; torque oscillator ... See more keywords
Nonlinear resonances and transitions to chaotic dynamics of a driven magnetic moment
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2019.166352
Abstract: Abstract We examine a magnetic moment subject to a static external magnetic field and a time dependent driving magnetic field. Taking the system in the highly anisotropic limit, like that of a thin film, we… read more here.
Keywords: moment; chaotic dynamics; nonlinear resonances; resonances transitions ... See more keywords
Chaotic dynamics applied in time prediction of photovoltaic production
Sign Up to like & getrecommendations! Published in 2019 at "Renewable Energy"
DOI: 10.1016/j.renene.2018.09.098
Abstract: Abstract The advantage of accurate forecasts is that it solves the main problem related to renewable energies: their variability. Indeed, while renewable energies has not yet replaced fossil fuels, in spite of the efforts of… read more here.
Keywords: photovoltaic production; dynamics applied; prediction; chaotic dynamics ... See more keywords
Chaotic Dynamics of Inner Ear Hair Cells
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DOI: 10.1038/s41598-018-21538-z
Abstract: Experimental records of active bundle motility are used to demonstrate the presence of a low-dimensional chaotic attractor in hair cell dynamics. Dimensionality tests from dynamic systems theory are applied to estimate the number of independent… read more here.
Keywords: chaotic dynamics; inner ear; hair cell; hair ... See more keywords
Accuracy of neural networks for the simulation of chaotic dynamics: precision of training data vs precision of the algorithm
Sign Up to like & getrecommendations! Published in 2020 at "Chaos"
DOI: 10.1063/5.0021264
Abstract: We explore the influence of precision of the data and the algorithm for the simulation of chaotic dynamics by neural network techniques. For this purpose, we simulate the Lorenz system with different precisions using three… read more here.
Keywords: chaotic dynamics; network; simulation chaotic; precision training ... See more keywords