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Dynamics characterization of modified Gross-Pitaevskii equation
(2013-07-15)
The dynamics of dissipative and coherent N-body systems, such as a Bose-Einstein condensate, which can be described by an extended Gross-Pitaevskii formalism, is investigated. In order to analyze chaotic and unstable ...
Dynamics characterization of modified Gross-Pitaevskii equation
(2013-07-15)
The dynamics of dissipative and coherent N-body systems, such as a Bose-Einstein condensate, which can be described by an extended Gross-Pitaevskii formalism, is investigated. In order to analyze chaotic and unstable ...
Central Lyapunov exponent of partially hyperbolic diffeomorphisms of ’T POT.3’
(American Mathematical Society - AMSProvidence, 2014-09)
In this paper we construct some "pathological'' volume preserving partially hyperbolic diffeomorphisms on 'T POT.3' such that their behavior in small scales in the central direction (Lyapunov exponent) is opposite to the ...
Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain
(Springer, 2016)
The general theory of Lyapunov stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in the previous paper (Adly et al. in Nonlinear Anal 75(3): 985-1008, 2012). This new ...
Lyapunov theorems for measure functional differential equations via Kurzweil-equations
(Wiley-VCH Verlag GmbHWeinheim, 2015)
We consider measure functional differential equations (we write measure FDEs) of the form Dx = f ('X IND. T', t)Dg, where f is Perron–Stieltjes integrable, 'X IND. T' is given by 'X IND. T'(θ) = x(t + θ), θ ∈ [−r, 0], with ...
A necessary and sufficient condition for the stability of interval difference equation via interval Lyapunov equation
(2022-01-01)
Interval difference equations can be used for modeling biological, economic, or physical systems that, due to lack of information or measurement errors in the input data from real-world applications, contain uncertainties. ...
The Lyapunov order for real matrices
(Elsevier Science IncNew YorkEUA, 2009)