Numerical Calculation Of Lyapunov Exponents In Various Nonlinear Chaotic SystemsIn this paper we study the meaning and importance of Lyapunov exponents through methods of analysis of experimental data applied in physics, and especially in chaotic circuits. The Lyapunov exponents play a very important ...
a你们也可以成为我的朋友只要你们乐意 You also may become the friend of mine so long as you are glad[translate] a节瓜 Half yellow pumpkin[translate] anumerical computation of the Lyapunov characteristic exponents (LCEs) Lyapunov特征指数(LCEs的)数字计算[translate]...
We will show how this approach also applies to ODEs on the Stiefel manifold and the orthogonal factorization of the Lorentz group will be derived. Furthermore, we will consider the numerical solution of important problems such as the Penrose regression problem, the calculation of Lyapunov exponents...
It follows from an easy calculation that if λmax is the largest generalized eigenvalue of the pair (A,B), then0⪰A−μBif and only ifμ≥λmax. Also note that 0⪰A−μB+αI for an α≥0 clearly implies 0⪰A−μB. Since B≻0, the smallest eigenvalue of B is ...
(1991). An adaptive algorithm for the approximate calculation of multiple integrals. ACM Transactions on Mathematical Software, 17, 437–451. Article MATH MathSciNet Google Scholar Butcher, J. C., Corless, R. M., Gonzalez-Vega, L., & Shakoori, A. (2011). Polynomial algebra for Birkhoff...
If the linearization of the problem is regular in the sense of Lyapunov, these exponents may be used to assess stability of the investigated solution. Beyond the numerical calculation of Lyapunov-exponents, an approach is presented which allows to check Lyapunov-regularity numerically. Together, both...
free boundarychaosattractorspectral methodLyapunov exponentThis paper is interested in the motion and its control of a geometrically nonlinear elastic beam. First, a mathematical model based on the Timoshenko beam theory is introduced. Next, some numerical simulation results are presented to understand ...
Rigorous Numerical Estimation of Lyapunov Exponents and Invariant Measures of Iterated Function Systems - Froyland - 2000 () Citation Context ...ade-off with problem (i). However, we have better control of the approximate evolution, and in some cases are able to provide convergence rates and ...
We present a fast, simple matrix method of computing the unique invariant measure and associated Lyapunov exponents of a nonlinear iterated function system. Analytic bounds for the error in our approximate invariant measure (in terms of the Hutchinson metric) are provided, while convergence of the ...
D.: Optimal conditions for the numerical calculation of the largest Lyapunov exponent for systems of ordinary differential equations. International Journal of Modern Physics C 25 (7), 1450024 (2014).F.L. Dubeibe, L.D. Bermudez-Almanza, Optimal conditions for the numerical calculation of the ...