linear: linear

In pplane: Phase plane plots of 2D nonlinear systems

Description

damped harmonic oscillator, e.g. The dynamics of a spring-mass system with air friction.

Usage

linear(x0, y0, a, b, c, d, e = 0, f = 0)

Arguments

x0	initial positions (x0,y0)
y0	initial positions
a	entry (1,1) of the transformation matrix
b	entry (1,2) of the transformation matrix
c	entry (2,1) of the transformation matrix
d	entry (2,2) of the transformation matrix
e	x-offset for affine systems
f	y-offset for affine systems

Details

In physics, this sort of system is called a damped

harmonic oscillator. The x variable is the spring position,

the y variable is the spring velocity.

derivate function for system

dx = a*(x-x0) + b*(y-y0) + e

dy = c*(x-x0) + d*(y-y0) + f

Value

closure calculating the derivative based on vector arguments (x,y).

Author(s)

Thomas Wutzler

pplane documentation built on May 2, 2019, 6:07 p.m.