Results 221 to 230 of about 21,395 (266)

Mathematical Description of Linear Dynamical Systems

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1963
There are two different ways of describing uynamicu systems: (i) bymeans of state variables and (ii) by input/output relations. The first method may be regarded as an axiornatization of Newton’s laws of mechanics and is taken to be the basic definition of a system.It is then shown (in the linear case) that the input/output relations determine only one ...
openaire   +2 more sources

Symbolic mathematical computing of bifurcations in dynamical systems

Journal of Computational Methods in Sciences and Engineering, 2004
In this paper we present a specific software package to bifurcation analysis. Specifically for locating fixed points of maps defined on R and their variation with respect to parameters. Also this program allows both detecting and analyzing bifurcations under higher order conditions.
José C. Valverde, Fernando L. Pelayo, Juan A. Martinez, Juan José Miralles Canals   +3 more
openaire   +2 more sources

ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

Mathematical Models and Methods in Applied Sciences, 2012
This paper deals with the modeling and simulation of swarms viewed as a living, hence complex, system. The approach is based on methods of kinetic theory and statistical mechanics, where interactions at the microscopic scale are nonlinearly additive and modeled by stochastic games.
BELLOMO, Nicola, SOLER J.
openaire   +2 more sources

Mathematical Dynamical Systems and Computational Systems

1997
The main thesis of this chapter is that a dynamical viewpoint allows us to better understand some important foundational issues of computation theory. Effective procedures are traditionally studied from two different but complementary points of view.
openaire   +1 more source

A Novel Dynamic Mathematics System Based on the Internet

2018
In this paper, we introduce a novel dynamic mathematics system called NetPad for teaching and learning mathematics in elementary and secondary school. NetPad is a product of Internet Plus Education and can be launched directly from the internet using a web browser.
Yongsheng Rao, Hao Guan, Ruxian Chen, Yu Zuo, Ying Wang   +4 more
openaire   +1 more source

Mathematical simulation of Earth system dynamics

Izvestiya, Atmospheric and Oceanic Physics, 2015
The mathematical simulation of the Earth system, the dynamics of which depends on physical, chemical, biological, and other processes and which requires interdisciplinary approaches to studying this problem, is considered. The term “the Earth system” extends the concept “the climatic system,” since additional geospheres (lithosphere, heliosphere, etc.)
V. P. Dymnikov, V. N. Lykosov, E. M. Volodin   +2 more
openaire   +1 more source

Mathematical insight through system dynamics

Transactions of the Institute of Measurement and Control, 1989
This paper considers how the precise world of mathematics is applied to fuzzy ambiguous real-life problems. System dynamics modelling for novice modellers is described, and a comparison made with mathematical modelling, using a simple physics problem as an example. The special place of time in modelling is examined.
Donald E. Prior, Alfredo O. Moscardini
openaire   +1 more source

FUZZY MATHEMATICS IN DYNAMICAL SYSTEMS: IS THERE A PLACE FOR IT?

International Journal of General Systems, 1994
A critical evaluation is presented of current attempts to introduce a fuzzification into dynamical systems theory, and, in general, to physics. The applicability and interpretation of these fuzzification methods is analysed. A new heuristic approach is suggested and discussed, which is based on the idea of the finite resolution limit.
exaly   +2 more sources

Dynamical Systems and Mathematical Economics

1986
The modern mathematical economics literature is permeated with dynamics. This starts with a simple tatonnement story of how prices adjust according to supply and demand, and it continues with the more sophisticated price adjustment models which involve speculation, etc.
openaire   +1 more source

Mathematical Aspects of Dynamic Systems

1991
Mathematics is the handmaiden of modern sciences. Many of today’s profound insights into nature could hardly be obtained from the sciences without the help of mathematics. On the other hand, mathematics has its own life. The works of Newton, Leibnitz and von Neumann provide good examples of interactions between mathematics and the sciences.
openaire   +1 more source