Lyapunov Exponent
Studying Transition Behavior of Neutron Point Kinetics Equations Using the Lyapunov Exponent Method
... with Lyapunov exponent method were investigated, also the analysis of Lyapunov exponent respect to time for reactivities above in long-term scale (t → ∞) was ...
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Maximal Lyapunov exponent variations of volcanic tremor recorded during explosive and effusive activity at Mt Semeru volcano, Indonesia
... Abstract. We analyze 25 episodes of volcanic tremor recorded from 22 November until 31 December 2009 at Mt Semeru volcano in order to investigate their spectral and dynamical properties. The overtone frequencies for most ...
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Local finite-time Lyapunov exponent, local sampling and probabilistic source and destination regions
... Abstract. The finite-time Lyapunov exponent (FTLE) is a powerful Lagrangian concept widely used for describing large-scale flow patterns and transport phenomena. However, field experiments usually have ...
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Correlation method for measuring the largest Lyapunov exponent in optical fields
... The embedding dimension, i.e. the value m , is taken to be very large in order to approximate the structure function (9) with adequate accuracy. In addition, the structure function has the same form for large data ...
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A Model for Diagnosing Breast Cancerous Tissue from Thermal Images Using Active Contour and Lyapunov Exponent
... The positive value of L indicates that time series is chaotic and predicted in divergent way. The nega- tive value of L represents a definitive nature for time series and Long-term predictability. So if L accepts ...
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CHARACTERIZATION OF LORENZ-LIKE SYSTEM AND ESTIMATION OF MAXIMUM LYAPUNOV EXPONENT
... Equation (2.2) provides a means for calculating λ for two specific neighbouring points over a given interval of time. Since we want to be able to approximate the Lyapunov exponent for an entire dynamic ...
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Lyapunov Exponent Testing for AWGN Generator System
... Additive White Gaussian Noise (AWGN) is common to every communication channel. It is statisti- cally random radio noise characterized by a wide frequency range with regards to a signal in com- munication channels. In ...
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Moment Lyapunov exponent of delay differential equations
... sense, yet for large values of p there is small probability of chance that the response would be large. Corresponding expected values for this rare event are indeed also large, and it is conclusive to say that pth-moment ...
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LENNS, a program to estimate the dominant Lyapunov exponent of noisy nonlinear systems from time series data
... For limited time series data on noisy systems, we have ob- tained the most reliable results when f is estimated using global nonlinear regression based on neural networks (McCaffrey et a[r] ...
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Symbolic dynamics and Lyapunov exponents for Lozi maps
... largest Lyapunov exponent for the set of points whose forward and backward orbits remain bounded, and find the maximum value that the largest Lyapunov exponent can ...
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Classification of EMG using Lyapunov and Hurst Exponent
... results, Lyapunov exponent and Hurst exponent is the best feature with higher accuracy comparing with the other features, whereas features like Capacity Dimension, Correlation Function, Correlation ...
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A Seven Dimensional System of the Navier Stokes Equations for a Two Dimensional Incompressible Fluid on a Torus
... kind are predicted under certain hypothesis, by the mathematical theory of turbulence of Ruelle and Takens [4]. In the following we consider a model obtained by a suitable seven-mode truncation of the Navier-Stokes equa- ...
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Finite-time Lagrangian transport analysis: stable and unstable manifolds of hyperbolic trajectories and finite-time Lyapunov exponents
... finite-time Lyapunov exponent (FTLE) fields and associated Lagrangian coherent structures have been the main tools for characterising transport barriers in the time-aperiodic situa- ...
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Chaos in Time Series of Sakarya River Daily Flow Rate
... find Lyapunov exponent, we use the mutual information values calculated by the mu- tual package in TISEAN by observing its first ...the Lyapunov exponent, we calculate the distance between two ...
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Testing Non Linear Dynamics, Long Memory and Chaotic Behaviour of Energy Commodities
... In the method by Rosenstein et al. for each m- dimensional vector ξ in the reconstructed phase space its n earest neighbour ξ * is determined. Rosenstein et al. calculate C(k) ≤ log |f k (ξ)−f k (ξ * )| > where the ...
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Correlation between Mortality of Prehospital Trauma Patients and Their Heart Rate Complexity
... 3) Lyapunov exponent may be used to obtain a meas- ure of the sensitive dependence upon initial conditions that is characteristic of chaotic ...positive Lyapunov exponent. Indeed, ...
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Bifurcation Analysis and Fractal Dimensions of a Non- Linear Map
... with suitable numerical methods and how the ratio of three successive period doubling bifurcation points ultimately converge to the Feigenbaum constant. Also the bifurcation points give information about the value of ...
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Dynamical analysis of a complex logistic type map
... including Lyapunov exponent, phase plane, bifurcation diagrams is carried out using matlab to ensure theoretical results and to reveal more complex dynamics of the ...
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An Elementary Study of Chaotic Behaviors in 1 D Maps
... Analysis, Lyapunov Exponent Analysis, Sensitivity to Initial Conditions, Bi- furcation Diagram, Cobweb Diagram, Histogram, Mathematical Analysis by Newton’s Iteration, Trajectories and Sensitivity to ...
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Vibrational control of chaos in artificial neural networks
... This gives us reason to let α vary in genetic simulations and to reformulate the task of the genetic algorithm as the combined mini- mization of both the maximal Lyapunov exponent and the parameter α. We ...
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