lorenzattractor: Simulate the Lorenz Attractor

In racdale/sindyr: Sparse Identification of Nonlinear Dynamics

Simulate the Lorenz Attractor

Description

An implementation of the Lorenz dynamical system, which describes the motion of a possible particle, which will neither converge to a steady state, nor diverge to infinity; but rather stay in a bounded but 'chaotically' defined region, i.e., an attractor.

Usage

lorenzattractor(numsteps, dt, sigma, r, b)

Arguments

numsteps	The number of simulated points
dt	System parameter
sigma	System parameter
r	System parameter
b	System parameter

Value

It returns a matrix with the 3 dimensions of the Lorenz

Author(s)

Moreno I. Coco ([e-mail])

References

Lorenz, Edward Norton (1963). Deterministic nonperiodic flow. Journal of the Atmospheric Sciences 20(2) 130-141.

Examples

## initialize the parameters
numsteps = 2 ^ 11; dt = .01; sigma = 10; r = 28; b = 8/3;

res = lorenzattractor(numsteps, dt, sigma, r, b)

racdale/sindyr documentation built on May 6, 2024, 6:26 p.m.