Results 21 to 30 of about 260,518 (341)
Recovering a variable exponent
Documenta Mathematica, 2021 We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x) -Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements.
Brander, Tommi, Siltakoski, Jarkko
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Ljapunov Exponents, Hyperchaos and Hurst Exponent [PDF]
Zeitschrift für Naturforschung A, 2005 Abstract We consider nonlinear dynamical systems with chaotic and hyperchaotic behaviour.We investigate the behaviour of the Hurst exponent at the transition from chaos to hyperchaos. A two-dimensional coupled logistic map is studied.
Eugenio Cosme Andrieu, Willi-Hans Steeb
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Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System. [PDF]
Physical Review Letters, 2016 It was proposed recently that the out-of-time-ordered four-point correlator (OTOC) may serve as a useful characteristic of quantum-chaotic behavior, because, in the semiclassical limit ℏ→0, its rate of exponential growth resembles the classical Lyapunov ...
E. Rozenbaum, S. Ganeshan, V. Galitski
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On the relation between the magnitude and exponent of OTOCs [PDF]
Journal of High Energy Physics, 2018 We derive an identity relating the growth exponent of early-time OTOCs, the pre-exponential factor, and a third number called “branching time”. The latter is defined within the dynamical mean-field framework, namely, in terms of the retarded kernel. This
Yingfei Gu, A. Kitaev
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On Khintchine exponents and Lyapunov exponents of continued fractions [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractAssume that x∈[0,1) admits its continued fraction expansion x=[a1(x),a2(x),…]. The Khintchine exponent γ(x) of x is defined by $\gamma (x):=\lim _{n\to \infty }({1}/{n}) \sum _{j=1}^n \log a_j(x)$ when the limit exists. The Khintchine spectrum dim Eξ is studied in detail, where Eξ:={x∈[0,1):γ(x)=ξ}(ξ≥0) and dim denotes the Hausdorff dimension.
Fan, Ai-Hua +3 more
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Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains
Nature Communications, 2020 Chains of Rydberg atoms have emerged as an amazing playground to study quantum physics in 1D. Playing with inter-atomic distances and laser detuning, one can in particular explore the commensurate-incommensurate transition out of density waves through ...
Natalia Chepiga, F. Mila
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BioMedical Engineering OnLine, 2018 Background Air ions are molecules of air that have become ionized—that is, they have either lost or gained an electrical charge. Past speculation has suggested that exposure to positive air ions may be harmful to one’s health, while exposure to negative ...
William H. Bailey +2 more
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Japan Architectural Review, 2023 An engineering judgment is often used to determine the exponent of the verification formula for combined stresses applied to moment‐resisting joints using drift‐pins. In this study, the exponent was determined based on a mechanical model.
Ryuki Odani +2 more
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Exponents of indecomposability
Linear Algebra and its Applications, 1999 AbstractLet r, n be integers, −n < r < n. An n × n matrix A is called r-indecomposable if it contains no k × l zero submatrix with k + l = n − r + l. If A is primitive, then there is a smallest positive integer, hr∗(A), such that Am is r-indecomposable for all m ⩾ hr∗ (A).
Stewart Neufeld +2 more
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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source