Nonlinear_Dynamics_JL

Rewriting Fortran programs to Julia-lang.

fractalgasket

fractaltree

langford

$\begin{eqnarray} \left\{ \begin{array}{l} \frac{dx}{dt} = (z-u)x-wy \\ \frac{dy}{dt} = wx-(z-u)y \\ \frac{dz}{dt} = n+z-\frac{z^3}{3}-(x^2+y^2)(1+lz)+ezx^3 \end{array} \right. \nonumber \end{eqnarray}$

logistic

$x_{n+1}=rx_n(1-x_n)$

lorenz

$\begin{eqnarray} \left\{ \begin{array}{l} \frac{dx}{dt} = -px+py \\ \frac{dy}{dt} = -xz+rx-y \\ \frac{dz}{dt} = xy-bz \end{array} \right. \nonumber \end{eqnarray}$

mandelbrot

$\begin{eqnarray} z_{n+1}&=&z_n^2+c \nonumber \\ z_{n+1}&=&z_n^3+c \nonumber \\ z_{n+1}&=&z_n^4+c \nonumber \\ z_{n+1}&=&z_n^5+c \nonumber \\ z_{n+1}&=&\tan (z_n)+c \nonumber \\ z_{n+1}&=&\tan (z_n^4)+c \nonumber \\ z_{n+1}&=&\tan (z_n^27)+c \nonumber \\ z_{n+1}&=&\tan (z_n^256)+c \nonumber \\ z_{n+1}&=&\tan (z_n^3125)+c \nonumber \end{eqnarray}$

randomwalk

SIR

$\begin{eqnarray} \left\{ \begin{array}{l} \frac{dS}{dt} = -\beta SI \\ \frac{dI}{dt} = \beta SI - \gamma I \\ \frac{dR}{dt} = \gamma I \end{array} \right. \nonumber \end{eqnarray}$

💪😀 : S (Susceptible)
🦠🤧 : I (Infectious)
💉😷 : R (Removed/Recovered)

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Nonlinear_Dynamics_JL

fractalgasket

fractaltree

langford

logistic

lorenz

mandelbrot

randomwalk

SIR

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Name		Name	Last commit message	Last commit date
Latest commit History 41 Commits
SIR		SIR
fractalgasket		fractalgasket
fractaltree		fractaltree
langford		langford
logistic		logistic
lorenz		lorenz
mandelbrot		mandelbrot
randomwalk		randomwalk
.gitignore		.gitignore
README.md		README.md

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Nonlinear_Dynamics_JL

fractalgasket

fractaltree

langford

logistic

lorenz

mandelbrot

randomwalk

SIR

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