Results 41 to 50 of about 2,468,103 (209)
arXiv, 2018 In this article ideas from Kit Fine's theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generic mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine's sense.
arxiv
Lessons in uncertainty quantification for turbulent dynamical systems
, 2012 The modus operandi of modern applied mathematics in developing very recent mathematical strategies for uncertainty quantification in partially observed high-dimensional turbulent dynamical systems is emphasized here.
A. Majda, M. Branicki
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Mathematics of Computation, 2010 We consider temporal approximation of stationary statistical properties of dissipative infinite-dimensional dynamical systems. We demonstrate that stationary statistical properties of the time discrete approximations, i.e., numerical scheme, converge to ...
Xiaoming Wang
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Mathematical modeling and simulation of robotic dynamic systems
Herald of the Azerbaijan Engineering Academy, 2022 The mathematical model of the robot generally consists of a nonlinear multi-link system, so varioussimplifications are used in the analysis of its properties. In particular, linear models of robots and controlsystems are commonly used to study the controllability and robustness of robots. In this case, linearmodels are built on the edges of the actions
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The Space of Mathematical Software Systems -- A Survey of Paradigmatic Systems [PDF]
arXiv, 2020 Mathematical software systems are becoming more and more important in pure and applied mathematics in order to deal with the complexity and scalability issues inherent in mathematics. In the last decades we have seen a cambric explosion of increasingly powerful but also diverging systems.
arxiv
Lectures on integrable Hamiltonian systems [PDF]
arXiv, 2013 We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. For instance, this is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and integrable systems with time-dependent parameters.
arxiv
arXiv, 2004 This article is a short introduction to the general topic of quantum spin systems. After a brief sketch of the history of the subject, the standard mathematical framework for formulating problems and results in quantum spin systems is described. Then, three short sections are devoted to Spontaneaous Symmetry Breaking, Phase transitions, and Dynamcis.
arxiv
Re-formulation of combined system wave-function formalism [PDF]
arXiv, 2006 We introduce a formulation of combined systems in orthodox non-relativistic quantum mechanics, mathematically equivalent to the usual one. For context and larger issues, see http://euclid.unh.edu/~jjohnson/axiomatics.html and http://arxiv.org/quant-ph ...
arxiv
A Mathematical Model for Social Security Systems with Dynamical Systems
Ingeniería y Ciencia, 2014 In this paper it is proposed a mathematical approach based ondynamicsystems to study the effect of the increase in the Social Security normalretirement age on the worker and on the dynamics of retiree populations.In order to simplify this initial effort, the proposed model does not includesome economic variables, such as wage growth, earnings or ...
Gilberto Gonzalez-Parra +1 more
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Chaos, 2018 Multistability refers to the coexistence of different stable states in nonlinear dynamical systems. This phenomenon has been observed in laboratory experiments and in nature.
U. Feudel, A. Pisarchik, K. Showalter
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