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DChaos (version 0.1-7)

Chaotic Time Series Analysis

Description

Chaos theory has been hailed as a revolution of thoughts and attracting ever increasing attention of many scientists from diverse disciplines. Chaotic systems are nonlinear deterministic dynamic systems which can behave like an erratic and apparently random motion. A relevant field inside chaos theory and nonlinear time series analysis is the detection of a chaotic behaviour from empirical time series data. One of the main features of chaos is the well known initial value sensitivity property. Methods and techniques related to test the hypothesis of chaos try to quantify the initial value sensitive property estimating the Lyapunov exponents. The DChaos package provides different useful tools and efficient algorithms which test robustly the hypothesis of chaos based on the Lyapunov exponent in order to know if the data generating process behind time series behave chaotically or not.

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Version

Install

install.packages('DChaos')

Monthly Downloads

398

Version

0.1-7

License

GPL (>= 2)

Maintainer

Julio E. Sandubete

Last Published

March 29th, 2023

Functions in DChaos (0.1-7)

netfit

Fits any standard feedforward neural net model from time-series data
henon.sim

Simulates time-series data from the Henon map
embedding

Provides the delayed-coordinate embedding vectors backwards
rossler.sim

Simulates time-series data from the Rossler system
jacobian.net

Computes the partial derivatives from the best-fitted neural net model
logistic.sim

Simulates time-series data from the Logistic map
lyapunov

Estimates the Lyapunov exponent through several methods
lyapunov.max

Estimates the largest Lyapunov exponent
lyapunov.spec

Estimates the Lyapunov exponent spectrum
summary.lyapunov

Summary method for a lyapunov object
w0.net

Estimates the initial parameter vector of the neural net model
gauss.sim

Simulates time-series data from the Gauss map