finite time Lyapunov exponents
Statistics of finite time Lyapunov exponents in a random time dependent potential
... random time-dependent potential is often considered as a statistical model for the ergodic properties of hyperbolic chaotic motion, in the spirit of the early work of Chirikov 关 31 兴 ...The time dependence ...
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Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective
... of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi- geostrophic atmospheric model with realistic mean state and ...the finite-time ...
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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 ...
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Climatology of Lyapunov exponents: the link between atmospheric rivers and large-scale mixing variability
... etc), finite-time Lyapunov exponents (FTLEs) measure the separation rate of two tra- jectories over time from initially nearby starting points, ...of time has also been studied ...
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Influence of finite-time Lyapunov exponents on winter precipitation over the Iberian Peninsula
... calculated, finite-time Lyapunov exponents (FTLEs) measure the sepa- ration of two trajectories over time from initially nearby start- ing points, ...a finite time (Shad- ...
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Exploring the Lyapunov instability properties of high-dimensional atmospheric and climate models
... of finite-time Lyapunov exponents (FTLEs): the prob- ability density functions of the FTLEs whose long term aver- ages correspond to positive exponents do not cross zero in the case of ...
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Finite-time Lagrangian transport analysis: stable and unstable manifolds of hyperbolic trajectories and finite-time Lyapunov exponents
... given time are especially evident in analysis of flows displaying transient ...a finite time ...of time dependence induced by the form of σ(t) ...The finite time Lyapunov ...
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Path-integrated Lagrangian measures from the velocity gradient tensor
... techniques, 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 ...
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Lyapunov Exponents from Experimental Time Series of Bistable Flows on Triangular Tube Bank Arrays
... the finite size of the experimental time series and its contamination by external noise, reconstruction depends much in the correct choice of step ...of time autocorrelation of the signal, ...
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CHARACTERIZATION OF LORENZ-LIKE SYSTEM AND ESTIMATION OF MAXIMUM LYAPUNOV EXPONENT
... Local Lyapunov Exponents (LLEs) has been defined for discrete-time dynamical systems perturbed by noise, which are related to short-term predictability and noise amplification and thus can be used to ...
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Geoscientific Model Development
... adimensionalized time steps). The atmospheric field displays a flat spectrum for small frequencies and decays at the large ones. The typical timescale of transition between these two regimes is of the order of 30 ...
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Kalman Filtering and Neural Networks Simon Haykin pdf
... EKF to estimate the time-series and using these estimates to train a neural network via gradient descent. A joint EKF is used in [15] to model partially unknown dynamics in a model reference adaptive control ...
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GENERAL SYNCHRONIZATION OF COUPLED PAIR OF CHAOTIC ONE-DIMENSIONAL GAUSSIAN MAPS
... system consists of coupled identical subsystems. Many different examples of this type have been introduced [6], [17] and [18]. In these cases, the synchronization is easy to detect. It appears as an actual equality of ...
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The Role of Dialogic Teaching in Fostering Critical Literacy in an Urban High School English Classroom
... communication time slots with many other packets belonging to other communication processes and the congestion of the links by the other packets can also occur ...computer’s time as packets through the ...
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ANTI-SYNCHRONIZATION OF PAN AND LIU CHAOTIC SYSTEMS BY ACTIVE NONLINEAR CONTROL
... [13-14], time-delay feedback approach [15], backstepping design method [16], sampled-data feedback synchronization method [17], sliding mode control [18], ...
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Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ...
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Dynamical behavior and synchronization of chaotic chemical reactors model
... the some values of is a chaotic system, since one of its Lyapunov exponents, is positive. Also it is a dissipative system, because sum of its Lyapunov exponents is negative. Figure 3 shows the ...
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GLOBAL CHAOS SYNCHRONIZATION OF HYPERCHAOTIC CHEN SYSTEM BY SLIDING MODE CONTROL
... using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos ...
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Lyapunov Exponents and Large Deviations Analysis of Eigenfunctions in Anderson Models on Graphs
... It is clear from Eqn 4.7 that, in the graphs with exponential growth of balls, one needs exponential bounds on the probabilities of large deviations to overcome the exponentially large f[r] ...
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Study of multiparameter respiratory pattern complexity in surgical critically ill patients during weaning trials
... Complexity analysis must incorporate many methods that capture different properties of respiratory dynamics. However, we suggest that non-linear analysis of respira- tory time during weaning trials might suffer ...
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