Results 191 to 200 of about 115,141 (223)
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LYAPUNOV EXPONENTS ON METRIC SPACES
Bulletin of the Australian Mathematical Society, 2017We use the pointwise Lipschitz constant to define an upper Lyapunov exponent for maps on metric spaces different to that given by Kifer [‘Characteristic exponents of dynamical systems in metric spaces’, Ergodic Theory Dynam. Systems3(1) (1983), 119–127].
C. A. MORALES +2 more
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Lyapunov exponents in unstable systems
Physical Review E, 1999We investigate the dynamical behavior of unstable systems in the vicinity of the critical point associated with a liquid-gas phase transition. By considering a mean-field treatment, we first perform a linear analysis and discuss the instability growth times.
M, Colonna, A, Bonasera
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Semigroups and Moment Lyapunov Exponents
Journal of Lie Theory, 2020Summary: Let \(G\) be a noncompact semi-simple Lie group with finite center and \(\mu\) a probability measure on \(G\). We consider (i) the semigroup \(S_{\mu}\) generated by the support of \(\mu\) (with the assumption that \(\mathrm{int} S_{\mu}\neq \emptyset\)); (ii) The spectral radii \(r_{\lambda}\) of the operators \(U_{\lambda}\left( \mu \right)\)
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Local and Global Lyapunov exponents
Journal of Dynamics and Differential Equations, 1991The authors relate various properties of local and global Lyapunov exponents, which were used in the study of the Hausdorff dimension of the global attractor for the 2D Navier-Stokes equations [cf. \textit{P. Constantin} and \textit{C. Foias}, Commun. Pure Appl. Math. 38, 1-27 (1985; Zbl 0582.35092), \textit{P. Constantin}, \textit{C.
Eden, A., Foias, C., Temam, R.
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2015
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in ...
Arkady Pikovsky, Antonio Politi
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Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in ...
Arkady Pikovsky, Antonio Politi
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The bullwhip effect and Lyapunov exponent
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad Makui, Alireza Madadi
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Lyapunov exponents for hydromagnetic convection
Physical Review A, 1991We estimate the two largest Lyapunov exponents in a three-dimensional simulation of hydromagnetic convection in which there is dynamo action. It turns out that these first two exponents (from a total of 8\ifmmode\times\else\texttimes\fi{}${63}^{3}$) are positive and of similar magnitude. Thus we conclude that the dynamo is chaotic.
, Kurths, , Brandenburg
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Stability Radii and Lyapunov Exponents
1990In the state space approach to stability of uncertain systems the concept of stability radius plays a central role. In this paper we use the classical concept of Lyapunov exponents, which describe the exponential growth behavior, in order to define a variety of stability and instability radii for families of linear systems ẋ = [A + u(t)]x, u(t) ∈ U ρ ,
Colonius, Fritz, Kliemann, Wolfgang
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