Simulation-System-Model

We realize many simulation system models to create coupled time series.

Method

Henon map

function xM = aleCoupledhenonmaps2(m,c,n,noise,aV,x0M)

• m : the number of coupled maps (time series)

• c : the coupling strength

• n : the time series length

• noise : noise to add

• aV : the two parameters in a vector (if omitted the standard parameters for chaos are chosen)

• x0M : initial conditions, a matrix of size 2 x m

• xM : the n x m matrix of the generated time series

ChaotiMap

function data = multichaoticmap(n,c,s,eps,mu)

• eps : 1 logistica eps=0 tenda mu in [0,2]
• mu : default 1.8
• c : square matrix
• n : the time series length
• s : gaussian noise

Lorenz

function xM = coupledKLorenz(n,K,ts,epsilonV)

• n : time series length
• K : number of Lorenz subsystems to be coupled
• ts : sampling time (best to use 0.05)
• epsilonV : vector of coupling strengths of length K-1, in simulations, we use the same coupling strength epsilon
• xM : matrix (n x K) of the X-variables from each Lorenz subsystem

Lattice

function xM = lattice(m,c,n,x0M)

• m : the number of coupled maps (time series)
• c : the coupling strength
• n : the time series length
• x0M : initial conditions
• xM : the matrix of the generated time series

Logistic

function xM = logistic(m,c,n,noise,aV,x0M)

• m : the number of coupled maps (time series)
• c : the coupling strength
• n : the time series length
• noise : noise to add
• aV : the two parameters in a vector
• x0M : initial conditions
• xM : the matrix of the generated time series

Mackey

function xM = Mackey(n)

• n : the time series length
• xM : the matrix of the generated time series

Linear

linear42

function [data] = linear42(N,settleTime)

• N : number of points of simulated time series
• settleTime : settling time

linear45

function [data] = linear45(N,settleTime)

• N : number of points of simulated time series
• settleTime : settling time

linear54

function [data] = linear54(N,settleTime)

• N : number of points of simulated time series
• settleTime : settling time

Nonlinear

Nonlinear31

function [data] = nonlinear31(N,settleTime)

• N : number of points of simulated time series
• settleTime : settling time

Nonlinear45

function [data] = linear45(N,settleTime)

• N : number of points of simulated time series
• settleTime : settling time

Nonlinear53

function [data] = nonlinear53(N,settleTime)

• N : number of points of simulated time series
• settleTime : settling time

Licence

• the GNU General Public License