Chaotic Generators Demo: dy=Lorenz(t,y,flag,rParam) - File Exchange

Code covered by the BSD License

Highlights from
Chaotic Generators Demo

START by Bogdan Cristea
attractor(action) %Attractor - grafical interface for 2D attractors plotting
bicoherence(action) %Bicoherence - grafical interface for power spectrum and bicoherence ploting
bifurcation(action) %Bifurcation - grafical interface for bifurcation ploting
histogram(action) %Histogram - grafical interface for 2D attractors ploting
timefreq(action) timefreq - time and frequency domain for a chaotic signal
[waxis,Pyy,bic]=m_bicoher(y,n... estimates the bicoherence via the direct (fft) method
[waxis,Pyy]=m_powerspec(y,nff... estimates the power spectrum with the same method as in bicoherence
dy=Autonomous4DCirc(t,y,flag,... four dimensional autonomous chaotic circuit
dy=ChuaCirc(t,y,flag,rParam) Chua's autonomous circuit
dy=ChuaCircCN(t,y,flag,rParam... Chua's circuit with a cubic nonlinearity - normalized parameters
dy=ColpittsOsc(t,y,flag,rPara... Colpitts oscillator
dy=Lorenz(t,y,flag,rParam) Lorenz system
dy=RC_Colpitts(t,y,flag,rPara... simple RC chaotic generator
dy=RC_Hysteresis(t,y,flag,rPa... RC OTA hysteresis chaos generator
dy=RC_NonlinCirc(t,y,flag,rPa... third order RC ladder phase shift oscillator
dy=RayleighOsc(t,y,flag,rPara... Rayleigh oscillator
dy=SimpleChaoticCirc(t,y,flag... simple dissipative nonautonomous chaotic circuit
dy=fAutonomous4DCirc(t,y) four dimensional autonomous chaotic circuit with physical parameters
dy=fChuaCirc(t,y,flag,rParam) Chua's autonomous circuit with physical parameters
dy=fColpittsOsc(t,y,flag,rPar... Colpitts oscillator with physical parameters
dy=fRC_Colpitts(t,y,flag,rPar... simple RC chaotic generator with physical parapeters
dy=fRC_Hysteresis(t,y,flag,rP... RC OTA hysteresis chaos generator with physical parameters
dy=fRC_NonlinCirc(t,y,flag,rP... third order RC ladder phase shift oscillator with physical parameters
dy=fRayleighOsc(t,y,flag,rPar... Rayleigh oscillator with physical parameters
dy=fSimpleChaoticCirc(t,y,fla... simple dissipative nonautonomous chaotic circuit with physical parameters
fx=BernoulliMap(x,rParam) rParam=1.99
fx=PWAMmap1(x,rParam)
fx=PWAMmap2(x,rParam) rParam=3 for chaos
fx=PWAMmap3(x,rParam)
fx=PWAMmap4(x,rParam) rParam=2.1 for chaos
fx=TailedTentMap(x,rParam) rParam=0.1, controls tail size
fx=genhaos(x,rParam) chaos generator with a recursive structure
fx=henonmap(x,rParam) parameters
fx=logisticmap(x,rParam) implementation of logistic map
fx=logisticmap1(x,rParam) rParam=4 for chaos
fx=logisticmap2(x,rParam) rParam=4 for chaos
fx=logisticmap3(x,rParam) rParam=4 for chaos
fx=miramap(x,rParam) parameters
fx=tentmap(x,rParam) rParam=0.99
fx=tentmap1(x,rParam) rParam=3
fx=tentmap2(x,rParam) rParam=3.99
lambda=findLyap(fcname,T,x,op...
m_dre(drefun,nbiter,y0,rParam... discrete recursive ecuation solver for attractor plotting (y[n]=drefun(y[n-1]))
m_dreTF(drefun,vTimeRange,bid... discrete recursive ecuation solver for time/frequency plotting (y[n]=drefun(y[n-1]))
m_odephas2(t,y,flag) ODEPHAS2 2-D phase plane ODE output function.
structData=AttInit(fcname) initialization function for 2D attractor plotting
structData=BicInit(fcname) initialization function for bicoherence plotting
structData=BifInit(fcname) initialization function for bifurcation plotting
structData=HistInit(fcname) initialization function for 2D attractor plotting
structData=LyapInit(fcname) initialization function for Lyapunov exponent(s) plotting
structData=TFInit(fcname) initialization function for Time/Frequency plotting
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from Chaotic Generators Demo by Bogdan Cristea
With chaotic generators demo various types of chaotic generators can be studied.

dy=Lorenz(t,y,flag,rParam)

function dy=Lorenz(t,y,flag,rParam)
%Lorenz system

%parameters
sigma=rParam;%10
rho=28;
beta=8/3;

%initialisation
dy=zeros(3,1);

%ODE
dy(1)=sigma*(y(2)-y(1));
dy(2)=rho*y(1)-y(2)-y(1)*y(3);
dy(3)=y(1)*y(2)-beta*y(3);

Highlights from Chaotic Generators Demo

Highlights from
Chaotic Generators Demo