[PDF] Top 20 Computability and dynamical systems
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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 ... See full document
13
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 ... See full document
14
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 ... See full document
22
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 ... See full document
11
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- ... See full document
20
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 ... See full document
10
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 ... See full document
5
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 ... See full document
98
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 ... See full document
12
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 ... See full document
6
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 ... See full document
20
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 ... See full document
147
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 ... See full document
24
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 ... See full document
9
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 ... See full document
8
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 ... See full document
16
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 ... See full document
21
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 ... See full document
12
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 ... See full document
22
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 ... See full document
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