Results 251 to 260 of about 221,211 (268)
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Mathematical Aspects of Dynamic Systems
1991Mathematics 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.
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FUZZY MATHEMATICS IN DYNAMICAL SYSTEMS: IS THERE A PLACE FOR IT?
International Journal of General Systems, 1994A 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.
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Mathematical modeling of discrete nonconservative dynamic systems
International Journal of Solids and Structures, 1972Abstract Many studies have shown that arbitrarily small differences between two nonconservative dynamic systems can result in completely different stability characteristics of the two systems. This can be interpreted as implying that mathematical modeling is of questionable value in the analysis and design of physical nonconservative systems.
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Discrete dynamics for mathematical simulation of living systems
Chaos, Solitons & Fractals, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
Mathematical Models and Methods in Applied Sciences, 2012This 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.
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The Mathematical Theory of Turbulent Dynamical Systems
2016With the motivation from Chapter 1 and 2, here we build the mathematical theory of turbulent dynamical systems.
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Sinai’s Dynamical System Perspective on Mathematical Fluid Dynamics
2019We review some of the most remarkable results obtained by Ya.G. Sinai and collaborators on the difficult problems arising in the theory of the Navier–Stokes equations and related models. The survey is not exhaustive, and it omits important results, such as those related to “Burgers turbulence”.
C. Boldrighini, Dong Li
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Integrable dynamical systems and related mathematical results
2008Springer Lecture Notes in Physics ...
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Mathematics, Science, and Dynamical Systems: An Introduction
2020Torsten Lindström, Bharath Sriraman
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