Bounding Averages Rigorously Using Semidefinite Programming: Mean Moments of the Lorenz System

We describe methods for proving bounds on infinite-time averages in differential dynamical systems. The methods rely on the construction of nonnegative polynomials with certain properties, similarly to the way nonlinear stability can be proved using Lyapunov functions. Nonnegativity is enforced by r...

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Vydané v:	Journal of nonlinear science Ročník 28; číslo 2; s. 621 - 651
Hlavný autor:	Goluskin, David
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.04.2018 Springer Nature B.V
Predmet:	Analysis Classical Mechanics Construction methods Economic Theory/Quantitative Economics/Mathematical Methods Formulations Interval arithmetic Liapunov functions Lorenz equations Lorenz system Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Orbital stability Parameters Polynomials Semidefinite programming Stability analysis Theoretical Trajectory analysis Upper bounds
ISSN:	0938-8974, 1432-1467
On-line prístup:	Získať plný text
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