Discussion: “A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems” (Staffeld, S. E., 1962, ASME J. Eng. Ind., 84, pp. 418–421) [PDF]
, 1962 E. H. Stepp
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Charge transport and determinants [PDF]
, 2008 We review some known facts in the transport theory of mesoscopic systems, including counting statistics, and discuss its relation with the mathematical treatment of open systems.
arxiv +1 more source
PHYSICAL AND MATHEMATICAL FOUNDATIONS OF MEASUREMENTS IN NONLINEAR DYNAMIC SYSTEMS [PDF]
Telecommunications and Radio Engineering, 2018 Physical and mathematical bases of measurements in physical non-linear dynamical systems are formulated. Physical properties, common to different systems, include: interval physical values; different modes of dynamics (including chaotic); strong dependence on the initial conditions; exposure to noise.
Machekhin, Yu. P. +2 more
openaire +1 more source
On the controllability of fractional dynamical systems
International Journal of Applied Mathematics and Computer Sciences, 2012 This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder’s fixed point theorem and the controllability ...
K. Balachandran, J. Kokila
semanticscholar +1 more source
A Mathematical Modeling In Computer Algebra Systems (CAS) As A Base For A Development of The Mathematics Education [PDF]
arXiv, 2014 Information technologies for studying physical-mathematical disciplines on base of mathematical modeling in the computer algebra system Maple are described.
arxiv
Dynamic mathematical model of the lubrication system
Journal of Dynamics and Vibroacoustics, 2014 The object of research is the lubrication system with supply and scavenges oil gear pumps with electric drives. Analyzed the features of the workflow in aggregates lubrication systems, and evaluated the possibility of applying a homogeneous model for the description of a two-phase mixture of "oil foam".
Yuri. M. Shchurovskiy +1 more
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arXiv, 2017 Proof theory began in the 1920's as a part of Hilbert's program, which aimed to secure the foundations of mathematics by modeling infinitary mathematics with formal axiomatic systems and proving those systems consistent using restricted, finitary means. The program thus viewed mathematics as a system of reasoning with precise linguistic norms, governed
arxiv
Mathematical Knowledge and the Role of an Observer: Ontological and epistemological aspects [PDF]
arXiv, 2017 As David Berlinski writes (1997), the existence and nature of mathematics is a more compelling and far deeper problem than any of the problems raised by mathematics itself. Here we analyze the essence of mathematics making the main emphasis on mathematics as an advanced system of knowledge.
arxiv
Dynamical System of the Mathematical Model for Tuberculosis with Vaccination
ComTech: Computer, Mathematics and Engineering Applications, 2019 This research focused on the modification of deterministic mathematical models for tuberculosis with vaccination. It also aimed to see the effect of giving the vaccine. It was done by adding vaccine compartments to people who were given the vaccine in the susceptible compartment. The population was divided into nine different groups.
E. H. Nugrahani +2 more
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Systematic construction of separable systems with quadratic in momenta first integrals [PDF]
arXiv, 2003 Liouville integrable separable systems with quadratic in momenta first integrals are considered. Particular attention is paid to the systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems.
arxiv