# Rossler system

### Description

Generates a 3-dimensional time series using the Rossler equations.

### Usage

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### Arguments

`start` |
A 3-dimensional numeric vector indicating the starting point for the time series. Default: c(-2, -10, 0.2). |

`a` |
The |

`b` |
The |

`c` |
The |

`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. |

### Details

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-c)*

The
default selection for the system parameters (*a* =
0.2, *b* = 0.2, *c* = 5.7) is known to produce
a deterministic chaotic time series.

### 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.

### Note

Some initial values may lead to an unstable system that will tend to infinity.

### Author(s)

Constantino A. Garcia

### References

Strogatz, S.: Nonlinear dynamics and chaos: with applications to physics, biology, chemistry and engineering (Studies in Nonlinearity)

### See Also

```
henon, logisticMap, rossler,
ikedaMap, cliffordMap, sinaiMap,
gaussMap
```

### Examples

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