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GPoM (version 1.0)

Rossler-1976 data set: Data included in package GPoM

Description

The Rossler system is the 3-dimensional chaotic system \(dx/dt = - y - z\) \(dy/dt = x + a y\) \(dz/dt = b + z (x - c)\), discovered by Otto Rossler in 1976 [1]. The following parameters and initial conditions were used in the present data set: a = 0.520, b = 2, c = 4 and (x0, y0, z0) = (-0.04298734, 1.025536, 0.09057987). The following four columns are provided: (1) time t, (2) x(t), (3) y(t) and (4) z(t). For this parameterization, the Rossler system produces a chaotic behavior non-coherent in phase.

The Rossler system is the 3-dimensional chaotic system \(dx/dt = - y - z\) \(dy/dt = x + a y\) \(dz/dt = b + z (x - c)\), discovered by Otto Rossler in 1976 [1]. The following parameters an initial conditions were used in the present data set: a = 0.520, b = 2, c = 4 and (x0, y0, z0) = (-0.04298734, 1.025536, 0.09057987). The following four columns are provided: (1) time t, (2) x(t), (3) y(t) and (4) z(t). For this parameterization, the Rossler system produces a chaotic behavior non-coherent in phase.

Usage

Ross76

rossler

Arguments

Format

An object of class deSolve (inherits from matrix) with 4000 rows and 4 columns.

References

[1] P. Rossler, 1976. An Equation for Continuous Chaos, Physics Letters, 71A, 2-3, 155-157.

[1] P. Rossler, 1976. An Equation for Continuous Chaos, Physics Letters, 71A, 2-3, 155-157.