Nonlinear System Dynamics

Nonlinear Dynamics Systems

1-Dimensional Systems

Logistic Map

Euler Method

Fixed Points Stability

Pitchfork Bifurcation

Neuron Model

Laser

Adler equation

Delayed Logistic equation

Stability Test

2-Dimensional Systems

2D System Phase Portrait

Direction Field

Chaotic Systems - Lorenz System

Let us consider the Lorenz system:

$\begin{array}{r} \dot{x}=\sigma(y-x) \\ \dot{y}=\rho x-y-x z \\ \dot{z}=-\beta z+x y \end{array}$

Maximum Lyapunov Exponent

Henon Map

Rossler System

Name		Name	Last commit message	Last commit date
Latest commit History 49 Commits
0-Matlab-Intro		0-Matlab-Intro
1-Logistic-Map		1-Logistic-Map
10-Delayed-Logistic-Equation		10-Delayed-Logistic-Equation
11-Stability-test		11-Stability-test
2-Euler-Method		2-Euler-Method
3-Fixed-Points-Stability		3-Fixed-Points-Stability
4-Pitchfork-Bifurcation		4-Pitchfork-Bifurcation
5-Neuron-Model		5-Neuron-Model
6-Laser		6-Laser
9-Adler_eq		9-Adler_eq
Pons		Pons
Nonlinear_Systems_Assignments_1.pdf		Nonlinear_Systems_Assignments_1.pdf
Nonlinear_Systems_Assignments_2.pdf		Nonlinear_Systems_Assignments_2.pdf
README.md		README.md
README.tex.md		README.tex.md

yiqiangjizhang/Nonlinear-Systems-Chaos

Folders and files

Latest commit

History

Repository files navigation

Nonlinear System Dynamics

1-Dimensional Systems

Logistic Map

Euler Method

Fixed Points Stability

Pitchfork Bifurcation

Neuron Model

Laser

Adler equation

Delayed Logistic equation

Stability Test

2-Dimensional Systems

2D System Phase Portrait

Direction Field

Chaotic Systems - Lorenz System

Maximum Lyapunov Exponent

Henon Map

Rossler System

About

Topics

Resources

Stars

Watchers

Forks

Languages