Request: Basic Discrete Dynamical Systems Tutorial

[qspeechc]

I am so very sorry, but I did not know where to put this thread!
I would like to request any helpful links and/or tutorials relating to basic discrete dynamical systems, or any help at all!

It should cover:
linear one dimension difference equations; non-linear one dimension difference equations; quadratic one dimensional difference equation; linear two dimensional difference equations (matrices); matrices
(that is, they are all maps, and discrete, not continuous)

Covering: equilibria, maps, orbits, bifurcation, graphical techiniques (stair-step & cobweb diagrams); logistic map; fixed points; cycles (as in 2-cycle, 4-cycle etc); (transition) probability matrices; matrices in general; simple Markov process; two dimensional dynamical systems using matrices; eigenvalues and eigenvectors.

I know it is a big ask, but any help is appreciated.

 

[member 553083]

Here are some helpful links and tutorials: 1. Discrete Dynamical Systems Tutorial: https://www.math.utah.edu/~treiberg/dynamics/dynamics_tutorial.pdf2. Linear One-Dimensional Difference Equations Tutorial: https://www.math.ucla.edu/~tao/preprints/dde/dde.pdf3. Non-Linear One-Dimensional Difference Equation Tutorial: http://www.maths.manchester.ac.uk/~peterb/Papers/ode_notes.pdf4. Quadratic One-Dimensional Difference Equation Tutorial: https://www.math.auckland.ac.nz/~obrien/ODE/FE_ode/node14.html5. Linear Two-Dimensional Difference Equations (Matrices) Tutorial: https://math.la.asu.edu/~dajones/matrix/Matrix.pdf6. Matrices Tutorial: https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/matrixdir/matrix.html7. Logistic Map Tutorial: http://www.math.cornell.edu/~shifrin/probability/logistic_map.html8. Fixed Points Tutorial: https://people.maths.ox.ac.uk/porterm/teaching/dynamical_systems_oxford.pdf9. Cycles Tutorial: https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/cycledir/cycles.html10. Transition Probability Matrices Tutorial: https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/markovdir/markov.html11. Simple Markov Process Tutorial: https://ocw.mit.edu/courses/electri...spring-2011/readings/MIT6_262S11_chap06.pdf12. Two Dimensional Dynamical Systems Using Matrices Tutorial: https://www.math.unh