[PDF] Top 20 Computability in planar dynamical systems

... However, in practical applications, it is usually more important to know that a certain compact set C indeed contains one or more attractors, and to determine the union of domains of all attractors in ... See full document

... a dynamical system evolves after a long enough ...DSs in the real world tend to be dissipative, which leads the system to some typical ...the dynamical system corresponding to the typical behavior is ... See full document

... examples 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 ... See full document

... appear in many applications and are used to describe a large variety of ...etc., in practice we need other methods to analyze non-linear ...and, in some cases, we can also use some qualitative ... See full document

... mentioned in [28], but previously seen in other classes [38], [39], ...size, in the limit one can show rigourously that we compute the domain of attraction, even though exact computation takes ... See full document

... solutions in the context of FRW cosmologies with flat spatial curva- ture (k = 0) for the cases of de Sitter models and warm ...as planar dynamical systems plus a constraint ... See full document

... The approximate period of the periodic orbit to be de- tected is known in advance, but the stability exponent such as Floquet exponent (Chicone, 2006) is unknown. Hence it is necessary to try some damping ... See full document

... model in this paper agree quite well with experimental data at different driving speeds, indicating that the presented dynamic mod- el is an effective method to model planar multibody system with joint ... See full document

... involved in the ...Shannon in 1941 in the paper [Sha41] as an idealization of the differential ...operator in Bush’s differential analyzer in order to make some ...model. In ... See full document

... believe in technical and fundamental analysis to forecast prices on financial ...awhile. In the bear (undervalued) market, when the mar- ket prices are smaller than their fundamental value, fundamentalists ... See full document

... or surface shape is outlined by a “control polygon” that is formed by connecting the control points. Since the control point structure captures important geometric features of the Bezier or B-spline shape, it is tempting ... See full document

... Acknowledgments. The author would like to thank Manuel Campagnolo, Jos´e F´elix Costa, Vasco Brattka, and the anonymous referee for their helpful comments on this paper. This work was partially supported by Funda¸c˜ao ... See full document

... Abstract: In this paper, assessment of acceleration schemes in the solution of systems of linear equations has been ...Banded systems, Tridiagonal systems and Dense Symmetric positive ... See full document

... literature in Rugby provides detailed descriptions of optimal ways to tackle an opponent ...arrive in balance” ...“arrive in balance” the dyad formed between an attacker and a defender would maintain ... See full document

... This domain deserves special attention as in this case we have some analytic results of rate equations to be compared to the results of numerical simulation.. Th[r] ... See full document

... [5] I. D. Chueshov, Introduction of the Theory of Infinite-Dimensional Dissipative Systems, ACTA, Ukraine, (2002). [6] La´ecio C. de Barros, Rodney C. Bassanezi, Pedro A. Tonelli, On the Continuity of The Zadeh’s ... See full document

... To assess the effects of chamber geometry on the durations of Drosophila walking and sta- tionary bouts, we computed the distance correlation (DC) [50] between either (a) walking or (b) stationary intervals start/end ... See full document

... role in Quantum Measurements, but it must be understood as more than simple probabilities associated to stochastic phenomena, in other words, knowledge constructed to understand nature is probabilistic, but ... See full document

... ported in Table ...excitation in different modes of the graded-index waveguide, allows one to selectively study the three ...fication in the reference waveguide, but a residual porosity was present ... See full document

... equation in two parts: the solution of a linear ordinary differential equation plus the solution of an auxiliary ...scheme in such a way that A-stability is ensured, while the second one can be approximated ... See full document