vdp_oscillator {ARGOS}

Van der Pol Oscillator

Description

Simulates the Van der Pol oscillator with optional noise.

Usage

vdp_oscillator(n, dt, init_conditions, mu, 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 2.

mu

Parameter controlling the nonlinear damping level of the system.

snr

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

Details

This function simulates a Van der Pol oscillator 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.

Examples

# Simulate a Van der Pol oscillator with 100 time points and no noise
data <- vdp_oscillator(
  n = 100,
  dt = 0.01,
  init_conditions = c(-1, 1),
  mu = 1.2,
  snr = Inf
)