Generates a 3-dimensional time series using the Rossler equations.
Usage
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 = deprecated()
)
Value
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.
Arguments
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, a plot of the
generated Lorenz system is shown. Before version 0.2.11, default value was
TRUE; versions 0.2.11 and later use FALSE as default.
Author
Constantino A. Garcia
Details
The Rossler system is a system of ordinary differential equations defined as:
$$\dot{x} = -(y + z)$$
$$\dot{y} = x+a \cdot y$$
$$\dot{z} = b + z*(x-w)$$
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.
References
Strogatz, S.: Nonlinear dynamics and chaos: with applications
to physics, biology, chemistry and engineering (Studies in Nonlinearity)