logistic_map_fivespecies_sugihara: Time series for a two-species model system. Unidirectional...

Description Usage Arguments Value

Description

Source: Sugihara, G., May, R., Ye, H., Hsieh, C. H., Deyle, E., Fogarty, M., & Munch, S. (2012). Detecting causality in complex ecosystems. science, 338(6106), 496-500.

Usage

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logistic_map_fivespecies_sugihara(n = 3000, y1.i = 0.4, y2.i = 0.4,
  y3.i = 0.4, y4.i = 0.4, y5.i = 0.4, Ry1y1 = 4, Ry1y2 = 0.31,
  Ry1y3 = 0.636, Ry1y4 = 0.111, Ry1y5 = 0.082, Ry2y2 = 3.1, Ry2y1 = 2,
  Ry2y3 = 0.636, Ry2y4 = 0.011, Ry2y5 = 0.111, Ry3y3 = 2.12,
  Ry3y1 = 0.4, Ry3y2 = 0.93, Ry3y4 = 0.131, Ry3y5 = 0.125,
  Ry4y4 = 3.8, Ry4y5 = 4.1, Ry5y5 = 4.1, add.timestep = FALSE,
  plot = FALSE)

Arguments

n

The number of time steps that will be generated.

Ry1y1

Parameter controlling the influence of y1 at timestep i on itself at timestep i+1.

Ry1y2

Parameter controlling the influence of y1 at timestep i on on y2 at timestep i+1.

Ry1y3

Parameter controlling the influence of y1 at timestep i on on y3 at timestep i+1.

Ry1y4

Parameter controlling the influence of y1 at timestep i on on y4 at timestep i+1.

Ry1y5

Parameter controlling the influence of y1 at timestep i on on y5 at timestep i+1.

Ry2y2

Parameter controlling the influence of y2 at timestep i on itself at timestep i+1.

Ry2y1

Parameter controlling the influence of y2 at timestep i on on y1 at timestep i+1.

Ry2y3

Parameter controlling the influence of y2 at timestep i on on y3 at timestep i+1.

Ry2y4

Parameter controlling the influence of y2 at timestep i on on y4 at timestep i+1.

Ry2y5

Parameter controlling the influence of y2 at timestep i on on y5 at timestep i+1.

Ry3y3

Parameter controlling the influence of y3 at timestep i on itself at timestep i+1.

Ry3y1

Parameter controlling the influence of y3 at timestep i on on y1 at timestep i+1.

Ry3y2

Parameter controlling the influence of y3 at timestep i on on y2 at timestep i+1.

Ry3y4

Parameter controlling the influence of y3 at timestep i on on y4 at timestep i+1.

Ry3y5

Parameter controlling the influence of y3 at timestep i on on y5 at timestep i+1.

Ry4y4

Parameter controlling the influence of y4 at timestep i on itself at timestep i+1.

Ry4y5

Parameter controlling the influence of y4 at timestep i on on y5 at timestep i+1.

Ry5y5

Parameter controlling the influence of y5 at timestep i on itself at timestep i+1.

y1

Initial value of time series y1.

y2

Initial value of time series y2.

y3

Initial value of time series y3.

y4

Initial value of time series y4.

y5

Initial value of time series y5.

Ry4y1

Parameter controlling the influence of y4 at timestep i on on y1 at timestep i+1.

Ry4y2

Parameter controlling the influence of y4 at timestep i on on y2 at timestep i+1.

Ry4y3

Parameter controlling the influence of y4 at timestep i on on y3 at timestep i+1.

Value

A dataframe containing columns time series for x and y (and optionally "t", a timestep column).

Subsystem y1, y2 and y3 is the forcing subsystem, that interacts unidirectionally with y4 and y5. y4 and y5 do not interact with each other and do not influence y1, y2 and y3. Initial conditions are not provided in the original paper, but are all set to 0.4 here.


kahaaga/chaoticmaps documentation built on May 31, 2019, 1:16 p.m.