• No results found

lyapunov exponents

Statistics of finite time Lyapunov exponents in a random time dependent potential

Statistics of finite time Lyapunov exponents in a random time dependent potential

... the Lyapunov exponents for quantum-chaotic wave propagation 关 24 –30 兴 : It has been observed that under certain conditions the Lyapunov exponent can be extracted from the decay of the overlap of two ...

11

Lyapunov Exponents and Large Deviations Analysis of Eigenfunctions in Anderson Models on Graphs

Lyapunov Exponents and Large Deviations Analysis of Eigenfunctions in Anderson Models on Graphs

... Certainly, the above statement is too vague and too general to be true. However, presenting a large vari- ety of particular cases where its formal, precise instance holds true, is beyond the scope of this work, focusing, ...

16

Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective

Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective

... finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi- geostrophic atmospheric model with realistic mean state and ...punov exponents is ...unstable ...

15

Influence of finite-time Lyapunov exponents on winter precipitation over the Iberian Peninsula

Influence of finite-time Lyapunov exponents on winter precipitation over the Iberian Peninsula

... Abstract. Seasonal forecasts have improved during the last decades, mostly due to an increase in understanding of the coupled ocean–atmosphere dynamics, and the development of models able to predict the atmosphere ...

9

Theoretical Computation of Lyapunov Exponents for Almost Periodic Hamiltonian Systems

Theoretical Computation of Lyapunov Exponents for Almost Periodic Hamiltonian Systems

... of Lyapunov exponents for the case of diffeomorphisms of Riemannian manifold and for the case of Hamiltonian systems ...of Lyapunov exponents for the almost periodic Hamiltonian flow and we ...

6

A method to calculate finite-time Lyapunov exponents for inertial particles in incompressible flows

A method to calculate finite-time Lyapunov exponents for inertial particles in incompressible flows

... Abstract. The present study aims to improve the calculus of finite-time Lyapunov exponents (FTLEs) applied to describe the transport of inertial particles in a fluid flow. To this aim, the deformation ...

7

Error analysis of QR algorithms for computing Lyapunov exponents

Error analysis of QR algorithms for computing Lyapunov exponents

... the Lyapunov exponents reduce to the real parts of the eigenvalues of the Jacobian matrix and the discrete and continuous QR algorithms be- come closely related to the orthogonal iteration process in ...

18

Local Lyapunov exponents: Predictability depends on where you are

Local Lyapunov exponents: Predictability depends on where you are

... The two examples presented, the Rossler system and surface pressure data show that local Lyapunov exponents can be used to identify regions in the state space that are most unpredictable[r] ...

19

Lyapunov Exponents from Experimental Time Series of Bistable Flows on Triangular Tube Bank Arrays

Lyapunov Exponents from Experimental Time Series of Bistable Flows on Triangular Tube Bank Arrays

... the Lyapunov exponents from experimental time series of bistable flows bistable flows on triangular tube bank ...largest Lyapunov exponent of the time ...

10

Symbolic dynamics and Lyapunov exponents for Lozi maps

Symbolic dynamics and Lyapunov exponents for Lozi maps

... largest Lyapunov exponent of a dynamical system. Indeed, since the Lyapunov exponents quantify the divergence of initially close state-space trajectories, we can use them to estimate the amount of ...

5

Lyapunov exponents for certain stochastic flows

Lyapunov exponents for certain stochastic flows

... Summary This thesis examines the asymptotic behaviour of solution flows of 'certain stochastic differential equations utilising the theory of Lyapunov exponents... The approach is taken [r] ...

196

Climatology of Lyapunov exponents: the link between atmospheric rivers and large-scale mixing variability

Climatology of Lyapunov exponents: the link between atmospheric rivers and large-scale mixing variability

... Abstract. Large-scale tropospheric mixing and Lagrangian transport properties have been analyzed for the long-term period 1979–2014 in terms of the finite-time Lyapunov exponents (FTLEs). Wind field ...

9

Online Detection, Quantification, and Correction of Transient Instability using Lyapunov Exponents from PMU Data.

Online Detection, Quantification, and Correction of Transient Instability using Lyapunov Exponents from PMU Data.

... Figure 5.4 Filtered voltage and resulting LE, ALE, and TALE for a Generator Fault and Trip 44 Figure 5.5 Voltages resulting from a High Voltage Line Fault and Trip.. 44.[r] ...

61

3D Finite Time Lyapunov Exponents in a left ventricle laboratory model

3D Finite Time Lyapunov Exponents in a left ventricle laboratory model

... )LQLWH 7LPH /\DSXQRY ([SRQHQWV )7/( >@ KDYH EHHQ XVHG LQ GLIIHUHQW FRQWH[W WR FKDUDFWHUL]H GLIIHUHQW UHJLRQV RI WKH IORZ DQG WR LGHQWLI\ WKH /DJUDQJLDQ &KRHUHQW 6WUXFWXUHV /&6[r] ...

6

Estimating Lyapunov exponents with nonparametric regression

Estimating Lyapunov exponents with nonparametric regression

... For a sample size in the range of 2000-2500 and no measurement error we evaluated the performance of the four approximation methods described in Section 4 ( Local Spline, Radial Basis, N[r] ...

33

Analysis on the Propagation of the Fiber Optic Signals in the Perturbed Nonlinear Schr&oumldinger Equation

Analysis on the Propagation of the Fiber Optic Signals in the Perturbed Nonlinear Schr&oumldinger Equation

... maximum Lyapunov exponents in Figure 7, it is not difficult to obtain the follow results: i) The behavior of the system is very well, the chaos are suppressed are symmetric about origin as c < ...

11

Existence of Chaotic Phenomena in a Single Well Duffing Oscillator under Parametric Excitations

Existence of Chaotic Phenomena in a Single Well Duffing Oscillator under Parametric Excitations

... and Lyapunov exponents are very significant analytical techniques for determining ...The Lyapunov exponent is an im- portant indicator in determining the sensitivity of chaotic behavior which cha- ...

14

Are gait variability and stability measures influenced by directional changes?

Are gait variability and stability measures influenced by directional changes?

... short-term Lyapunov exponents, Recurrence quantification analysis, Multiscale entropy, Harmonic ratio and Index of harmonicity) were calculated on stride duration and trunk acceleration data (acquired at ...

11

Scaling Synchronization of a 6D Hyperchaotic System

Scaling Synchronization of a 6D Hyperchaotic System

... A hyperchaotic system is defined as a chaotic system with at least two positive Lyapunov exponents, indicating that its dynamics are expanded in more than one direction. Messages masked by hyperchaotic ...

17

Path-integrated Lagrangian measures from the velocity gradient tensor

Path-integrated Lagrangian measures from the velocity gradient tensor

... finite-time Lyapunov exponents (FTLE) are used extensively to quantify mixing, and especially to extract per- sisting transport patterns in the flow, so-called Lagrangian coherent structures (LCS) (Peacock ...

5

Show all 545 documents...

Related subjects