Rossler system
Generates a 3-dimensional time series using the Rossler equations.
rossler( a = 0.2, b = 0.2, w = 5.7, start = c(-2, -10, 0.2), time = seq(0, 50, by = 0.01), do.plot = TRUE )
a |
The a parameter. Default:0.2. |
b |
The b parameter. Default: 0.2. |
w |
The w parameter. Default: 5.7. |
start |
A 3-dimensional numeric vector indicating the starting point for the time series. Default: c(-2, -10, 0.2). |
time |
The temporal interval at which the system will be generated. Default: time=seq(0,50,by = 0.01). |
do.plot |
Logical value. If TRUE (default value), a plot of the generated Lorenz system is shown. |
The Rossler system is a system of ordinary differential equations defined as:
dx/dt = -(y + z)
dy/dt = x + a*y
dz/dt = b + z*(x-w)
The default selection for the system parameters (a = 0.2, b = 0.2, w = 5.7) is known to produce a deterministic chaotic time series.
A list with four vectors named time, x, y and z containing the time, the x-components, the y-components and the z-components of the Rossler system, respectively.
Some initial values may lead to an unstable system that will tend to infinity.
Constantino A. Garcia
Strogatz, S.: Nonlinear dynamics and chaos: with applications to physics, biology, chemistry and engineering (Studies in Nonlinearity)
## Not run: r.ts = rossler(time=seq(0,30,by = 0.01)) ## End(Not run)
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