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Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
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The article was published on 1963-01-01 and is currently open access. It has received 837 citations till now. The article focuses on the topics: Stochastic partial differential equation & Asymptotic analysis.read more
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Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory
TL;DR: In this paper, a method for computing all of the Lyapunov characteristic exponents of order greater than one is presented, which is related to the increase of volumes of a dynamical system.
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Liquid Sloshing Dynamics
TL;DR: In this article, the authors present a detailed review of liquid sloshing dynamics in rigid containers, including linear forced and non-linear interaction under external and parametric excitations.
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Statistical physics of vaccination
Zhen Wang,Zhen Wang,Chris T. Bauch,Samit Bhattacharyya,Alberto d’Onofrio,Piero Manfredi,Matjaz Perc,Nicola Perra,Marcel Salathé,Dawei Zhao +9 more
TL;DR: This report reviews the developmental arc of theoretical epidemiology with emphasis on vaccination, as it led from classical models assuming homogeneously mixing populations and ignoring human behavior, to recent models that account for behavioral feedback and/or population spatial/social structure.
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Classical and quantum mechanics of the damped harmonic oscillator
TL;DR: The relation between various treatments of the classical linearly damped harmonic oscillator and its quantization is investigated in this paper, where it is shown how imposing a restriction on the classical trajectories in order to connect the Hamiltonian with the energy leads to the time-independent Bateman-Morse-Feshbach-Bopp Hamiltonian.
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A survey of stability of stochastic systems
TL;DR: The main purpose of this manuscript is to give some understanding of the subject of stability of stochastic systems by presenting some of the basic ideas as well as a survey of results that have appeared in the literature.