rossler_system {ARGOS}

Rossler Chaotic System

Description

Simulates the Rossler chaotic system with optional noise.

Usage

rossler_system(n, dt, init_conditions, a, b, c, snr = Inf)

Arguments

n

Number of time points (rounded to the nearest integer).

dt

Time step between observations.

init_conditions

Initial conditions as a numeric vector of length 3 (X, Y, Z).

a

Rossler parameter 1

b

Rossler parameter 2

c

Rossler parameter 3

snr

Signal-to-noise ratio (in dB). Use Inf for no noise.

Details

This function simulates the Rossler chaotic system with the specified parameters. It uses the specified time step and initial conditions to compute the system's state over time. If a non-Infinite SNR is provided, Gaussian noise is added to the system.

Value

A numeric matrix representing the system's state over time. Each row corresponds to a time point, and each column represents a variable (X, Y, Z).

Examples

# Simulate the Rossler system with 1000 time points and no noise
data <- rossler_system(
  n = 1000,
  dt = 0.01,
  init_conditions = c(0, 2, 0),
  a = 0.2, b = 0.2, c = 5.7,
  snr = Inf
)