Results 11 to 20 of about 221,112 (170)
Optimal Mathematical Models for Nonlinear Dynamical Systems [PDF]
Mathematical and Computer Modelling of Dynamical Systems, 2003 We propose a new method for the optimal causal representation of nonlinear systems. The proposed approach is based on the best constrained approximation of mappings in probability spaces by operators constructed from matrices of special form so that the approximant preserves the causality property.
Torokhti, A., Howlett, P., Pearce, C.
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Geometric Mathematical Framework for Multibody System Dynamics [PDF]
AIP Conference Proceedings, 2010 The paper surveys geometric mathematical framework for computational modeling of multibody system dynamics. Starting with the configuration space of rigid body motion and analysis of it’s Lie group structure, the elements of respective Lie algebra are addressed and basic relations pertinent to geometrical formulations of multibody system dynamics are ...
Zdravko Terze +5 more
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Mathematical modeling of continuous dynamic systems
Mathematical Modelling, 1987 AbstractMathematical models of physical systems assume several forms depending on their intended use. This paper illustrates the use of a nonlinear and linear model to describe the dynamic response of a particular physical system. A block oriented simulation program, TUTSIM, is presented as the vehicle for obtaining approximate solutions of the ...
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Bringing forth mathematical concepts: signifying sensorimotor enactment in fields of promoted action [PDF]
, 2014 Inspired by Enactivist philosophy yet in dialog with it, we ask what theory of embodied cognition might best serve in articulating implications of Enactivism for mathematics education. We offer a blend of Dynamical Systems Theory and Sociocultural Theory
Abrahamson, D, Trninic, D
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Renewal Systems, Sharp-Eyed Snakes, And Shifts Of Finite Type [PDF]
, 2002 Johnson and Madden look at collections of bi-infinite strings of symbols that occur in several different areas of mathematics and ask whether these collections are the same in some sense.
Johnson, Aimee S. A., Madden, K. M.
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Dynamical Systems, Stability, and Chaos
, 2007 In this expository and resources chapter we review selected aspects of the mathematics of dynamical systems, stability, and chaos, within a historical framework that draws together two threads of its early development: celestial mechanics and control ...
Ball, R., Holmes, P.
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On the relevance of the dam break problem in the context of nonlinear shallow water equations [PDF]
, 2009 The classical dam break problem has become the de facto standard in validating the Nonlinear Shallow Water Equations (NSWE) solvers. Moreover, the NSWE are widely used for flooding simulations.
Dutykh, Denys, Mitsotakis, Dimitrios
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Coalgebraic Quantum Computation
, 2014 Coalgebras generalize various kinds of dynamical systems occuring in mathematics and computer science. Examples of systems that can be modeled as coalgebras include automata and Markov chains.
Roumen, Frank
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An ISS Small-Gain Theorem for General Networks
, 2005 We provide a generalized version of the nonlinear small-gain theorem for the case of more than two coupled input-to-state stable (ISS) systems. For this result the interconnection gains are described in a nonlinear gain matrix and the small-gain ...
A Berman +24 more
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A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]
, 2011 The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R. +79 more
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