Results 131 to 140 of about 9,353 (233)
Lyapunov Characteristic Exponents are Nonnegative [PDF]
Proceedings of the American Mathematical Society, 1993 We prove that, for an arbitrary rational map f f on the Riemann sphere and an arbitrary probability invariant measure on ...
openaire +1 more source
Dynamical determinants and their applications [PDF]
This thesis is concerned with situations where we can define trace-class transfer oper- ators, and extract useful information from their determinants. The first topic is on Lyapunov exponents of random products of matrices.
Felton, Philip
core
Symmetry-breaking in local Lyapunov exponents
, 2002 Integrable dynamical systems, namely those having as many independent conserved quantities as freedoms, have all Lyapunov exponents equal to zero. Locally, the instantaneous or finite time Lyapunov exponents are nonzero, but owing to a symmetry, their ...
R. Ramaswamy, Ramaswamy, R.
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Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 4957-4970, June 2026.ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
wiley +1 more source
Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
, 2020 It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps.
Yunping Jiang, Aihua Fan
core
Lyapunov Exponents of a Micro Chaotic Mixer
, 2002 In this paper, we study the Lyapunov exponents of a micro chaotic mixer to understand the mixing effectiveness under different operating parameters.
Lee, Yi Kuen
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Examples on Perron effects in autonomous discrete systems
ESAIM: Proceedings and Surveys, 2014 We construct examples proving that there exist C1-dynamical systems in [0,1) having forward orbits instable in the sense of Lyapunov with negative Lyapunov exponent and forward orbits stable in the same sense, but having positive ...
Balibrea Francisco, Caballero M.V.
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International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 5069-5086, June 2026.ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam +2 more
wiley +1 more source
Lyapunov exponents calculated from WLC behavior.
, 2013 Evolution in the calculation of the two positive Lyapunov exponents in the statocyst model under the action of the hunting neuron. The existence of two positive Lyapunov exponents means that the activity in the network is chaotic during hunting behavior.
Rafael Levi (282008) +2 more
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