Results 151 to 160 of about 4,627 (196)

Terahertz semiconductor laser chaos. [PDF]

Nat Commun
Liu B, Silvestri C, Zhou K, Ma X, Wu S, Li Z, Wan W, Zhang Z, Zhang Y, Peng J, Zeng H, Wang C, Brambilla M, Columbo LL, Li H.   +14 more
europepmc   +1 more source

Exploring Overall and Component Complexities via Relative Complexity Change and Interacting Complexity Amplitudes in the Kolmogorov Plane: A Case Study of U.S. Rivers. [PDF]

Entropy (Basel)
Mihailović DT, Malinović-Milićević S.   +1 more
europepmc   +1 more source

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Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1999
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. This reveals in a quantitative way the complexity of the dynamics determined by such maps.
Fan, Aihua, Jiang, Yunping
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Differentiability of Lyapunov Exponents

Journal of Dynamical and Control Systems, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferraiol, Thiago F., San Martin, Luiz A. B.   +1 more
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Perturbations with nonpositive Lyapunov exponents

Quaestiones Mathematicae, 2022
The notion of uniform hyperbolicity is equivalent to various admissibility properties. For example, one such property is expressed in  terms of the existence of bounded solutions for any bounded perturbation of the dynamics. Our main objective is to describe a weaker  hyperbolicity property for a nonautonomous dynamics with discrete time that
Barreira, Luis, Valls, Claudia
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Extended Lyapunov exponents

Physical Review A, 1992
The definition of a Lyapunov exponent can be extended to include an imaginary part. This extension requires the definition of a coordinate frame on the tangent space of the differential equation and an extension of the concept of a limit. The definition of extended Lyapunov exponents is based on the eigenvalues of the fundamental matrix.
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LYAPUNOV EXPONENTS ON METRIC SPACES

Bulletin of the Australian Mathematical Society, 2017
We 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, P. THIEULLEN, H. VILLAVICENCIO   +2 more
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Lyapunov exponents in unstable systems

Physical Review E, 1999
We 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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