Top PDF Computability and dynamical systems
Computability and dynamical systems
... for systems of definite interest in prob- lems of physics, engineering or mathematical sciences in general, showing that these low-dimensional deterministic systems apparently exhibited, in a persistent ...
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Computability and dynamical systems: a perspective
... stable systems are not dense ...stable systems are no longer seen as the ade- quate class of “robust ...Guckenheimer and Holmes wrote in their book [GH83, ...unstable systems were regarded as ...
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Computability in planar dynamical systems
... A point that we would like to emphasize throughout this paper is our belief that some sort of stability is needed (but not sufficient) in a dynamical system to guarantee the computability of its main ...
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Computability of ordinary differential equations
... applications and are used to describe a large variety of ...ODE and, in some cases, we can also use some qualitative results to better understand the dynamics of the ...on dynamical systems ...
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Computability with polynomial differential equations
... in Dynamical Systems theory, are based on systems of ordinary dif- ferential equations (ODEs) with analytic, indeed very often polynomial, right ...classical systems like the van der Pol equa- ...
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The connection between computability of a nonlinear problem and its linearization: the Hartman-Grobman theorem revisited
... [5] and Hartman [6,7] (in 1959 and 1960, respectively), who showed the conjugacy of solutions as described in the paragraph above, but without constructive ...
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Time-Dependent Billiards
... context dynamical properties of billiards play a principal role: if it is chaotic, then the boundary perturbation may lead to the particle ...17 and for annular billiards 18. Lately, using the theory of ...
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Computability with polynomial differential equations
... many systems of ordinary differential equations that are not written in terms of polynomials, but rather with functions involving the composition of trigonometric functions, exponentials, ...studying ...
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TEMA (São Carlos) vol.13 número2
... nonlinear dynamical systems possessing saddle-node equilibrium points on it is ...boundary and the stable, stable center and center manifolds of the saddle-node equilibrium points on the ...
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GROUPOIDS AND IRREVERSIBLE DISCRETE DYNAMICAL
... Groupoids and uniformities associated to irreversible dynamical systems , Fiabilitate şi durabilitate (Fiability & durability), ...Exel and J. Renault, Semigroups of local homeomorphisms ...
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Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
... nonsmooth systems. Our main concern is understanding the dynamics of such systems by means of tools in the geometric singular perturbation ...observed, and a comparative study of the two categories ...
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Nonautonomous Di fference Equations with Applications
... Elaydi and Sacker [28, 29, 30, ...Sacker and Sell ...results and new developments concerning the periodicity of the system and its stability is ...periodic systems of the main stability ...
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Comput. Appl. Math. vol.31 número3
... Legendre and Chebyshev polynomials are used for solving optimal control prob- lems (see [2], [3], [4] and ...Razzaghi and Yousefi [6] defined functions which they called Legendre wavelets for solving ...
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MARKOV GRAPHS OF ONE–DIMENSIONAL DYNAMICAL SYSTEMS AND THEIR DISCRETE ANALOGUES AND THEIR DISCRETE ANALOGUES
... This paper deals with finite topological graphs. The closed interval [x, y] is called an edge. Its two end–points x and y are called vertices. Thus, a graph X is a finite collection of edges with the property that ...
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The population dynamical implications of male-biased parasitism in different mating systems.
... rate and fecundity due to parasitic disease may also ...[54], and may often affect the sexes ...healthy and parasitized ...analysis and our aim here has been to identify a difference rather ...
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Computability, noncomputability and undecidability of maximal intervals of IVPs
... study computability and noncomputability in initial-value problems (henceforth abbreviated to IVPs) of ordinary differential equations based on the model of computable ...t and ˙ x denotes the ...
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Local Linearization-Runge-Kutta methods: a class of A-stable explicit integrators for dynamical systems
... RK) and conventional splitting methods (see ...linear and nonlinear ...splitting and IMEX methods the vector field decomposition is global instead of local, and it is not based on a ...
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An Error Bound for Low Order Approximation of Dynamical Systems Subjected to Initial Conditions
... for the impulse response of Multi-Input-Multi-Output (MIMO) dynamical systems [26]. MOR methods based on modal truncation have advantages compared to other methods due to the physical interpretation of the ...
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UNIVERSAL REGULAR AUTONOMOUS ASYNCHRONOUS SYSTEMS: ω-LIMIT SETS, INVARIANCE AND BASINS OF ATTRACTION
... asynchronous systems are the non-deterministic real time- binary models of the asynchronous circuits from electrical ...circuits and their models have no ...the dynamical systems, thus such ...
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Chapter III Identify Dynamical Systems Properties in Team Sports of Rugby Union
... of dynamical systems properties, there was a need to identify parameters to measure those properties, and the data appeared to reveal two parameters that might be key variables in a successful ...
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