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=== Lyapunov Exponents === | === Lyapunov Exponents === | ||

β | Here I will demonstrate how to use the function {{Codeline|lyap_k}}. It | + | Here I will demonstrate how to use the function {{Codeline|lyap_k}}. It creates Lyapunov Exponents for a time series (more information available from the TISEAN documentation located [http://www.mpipks-dresden.mpg.de/~tisean/Tisean_3.0.1/docs/chaospaper/node27.html here]). In this tutorial we will create a Lyapunov Exponent for various embedding dimensions and then plot them. |

{{Code|Creating Lyapunov exponents|<syntaxhighlight lang="octave" style="font-size:13px"> | {{Code|Creating Lyapunov exponents|<syntaxhighlight lang="octave" style="font-size:13px"> | ||

# Create time series | # Create time series | ||

in = sin((1:2500).'./360) + cos((1:2500).'./180); | in = sin((1:2500).'./360) + cos((1:2500).'./180); | ||

β | # | + | # Create Lyapunov exponents |

mmax_val = 20 | mmax_val = 20 | ||

lyap_exp = lyap_k (in, 'mmin',2,'mmax',mmax_val,'d',6,'s',400,'t',500); | lyap_exp = lyap_k (in, 'mmin',2,'mmax',mmax_val,'d',6,'s',400,'t',500); |