# henon.ts

##### Simulation of time series from the H<U+00E9>non map

This function simulates time series from the H<U+00E9>non map considering the argument set selected by the user. The initial conditions of each time serie are two random numbers between -0.5 and 0.5. Some values for the parameters and initial conditions may lead to an unstable system that will tend to infinity.

##### Usage

```
henon.ts(a.min = 0.4, a.max = 1.4, b.min = 0.1, b.max = 0.3,
sample = 1000, transient = 100, B = 100, doplot = TRUE)
```

##### Arguments

- a.min
a non-negative integer denoting a lower bound for the parameter

`a`

(Default 0.4).- a.max
a non-negative integer denoting an upper bound for the parameter

`a`

(Default 1.4).- b.min
a non-negative integer denoting a lower bound for the parameter

`b`

(Default 0.1).- b.max
a non-negative integer denoting an upper bound for the parameter

`b`

(Default 0.3).- sample
a non-negative integer denoting the length of each time serie (Default 1000).

- transient
a non-negative integer denoting the number of observations that will be discarded to ensure that the values of each time serie are in the attractor (Default 100).

- B
a non-negative integer denoting the number of series that will be generated for different values of the parameters

`a`

and`b`

. The number of simulated series must be at least 100 (Default 100).- doplot
a logical value denoting if you want to draw a plot

`TRUE`

or not`FALSE`

. If it is`TRUE`

shows six graphs: the evolution of the temporal trajectories for the whole period, the attractor and its projections on the Cartesian plane and the bifurcation diagram. All of them consider both the 'x-coordinate' and the 'y-coordinate' (Default 'TRUE').

##### Value

A list containing as many items as series we want to simulate `B`

. Each of them has the following attributes: the value of the parameter `a`

, the value of the parameter `b`

, the value of the initial condition `xo`

, the value of the initial condition `yo`

and a time serie from the iterated H<U+00E9>non map with two columns corresponding to 'x-coordinate' and 'y-coordinate'.

##### References

H<U+00E9>non, M. 1976 A two-dimensional mapping with a strange attractor. Communications in Mathematical Physics 50(1):69-77.

##### See Also

##### Examples

```
# NOT RUN {
## Simulates 100 time series from the H<U+00E9>non map for different
## values of the parameters a and b in which this system exhibits
## a chaotic behaviour:
ts<-henon.ts(a.min=0.7,a.max=1.4,b.min=0.1,b.max=0.3,B=100,doplot=TRUE)
# }
```

*Documentation reproduced from package DChaos, version 0.1-1, License: GPL (>= 2)*