2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 2
Due by the end of day on Thursday, i n the box provided ( until 5pm) N o late psets are accepted.
I f you collaborated with other students in the class, list their names on the ti
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
MIDTERM (At-home portion)
Problem 1: Bifurcations a biochemical switch
A gene G, usually inactive, is activated by a biochemical substance S to produce a pigment or other gene
product when the
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 7
Due at 12:01 pm on Friday, November 2nd, in the b ox provided. No late
psets are accepted. If you collaborated with other students in the class, list their names on the title shee
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Midterm Practice Problems
The midterm exam will have a classroom written portion and a take-home computational
portion.
The best preparation for the exam is problem sets (the solutions are post
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Matlab primer
The objective of this document is to get you to a position where you can complete the MATLAB portion
on the second problem set. It is by no means a comprehensive introduction to M
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
MATLAB primer 2
The objective of this document is to get you to a position where you can complete the MATLAB portion
on the PSet 6.
In the previous assignments we were able to plot a phase port
Before we used ode45 only for autonomous systems.
Here once you rewrite equation as a second-order system, there is
time dependence on the RHS (i.e. it's not autonomous).
To use ode45 the same way we did before, you can treat it as a 3-dim system,
where t
REA DE INGENIERA ELCTRICA
DEPARTAMENTO DE ESID
ELECTROTECNIA
2 CONVOCATORIA - CURSO 12-13 (28-6-13)
PROBLEMAS (2h) (50 %)
P.1.- Considere la instalacin trifsica equilibrada de la figura. Las tensiones de alimentacin son de
secuencia A-B-C y 50 Hz de frecu
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 8
Due at 12:01 pm on Friday, November 9th, in the b ox provided. No late
psets are accepted. If you collaborated with other students in the class, list their names on the title shee
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 6
Due at 12:01 pm on Friday, October 19th, in the b ox provided. No late psets
are accepted. If you collaborated with other students in the class, list their names on the title shee
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 5
Due at 12:01 pm on Friday, October 12th, in the b ox provided. No late psets
are accepted. If you collaborated with other students in the class, list their names on the title shee
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 9
Due at 12:01 pm on Friday, November 16th, in the b ox provided. No late
psets are accepted. If you collaborated with other students in the class, list their names on the title she
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 3
Due at 12:01 pm on Friday, September 28th, in the b ox provided. No late
psets are accepted. If you collaborated with other students in the class, list their names on the title sh
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem 1: 1D dynamical systems. Population growth. The Allee eect
Due at noon on Friday Sept 14th, in the box provided (to the right of the entrance).
No late psets are accepted. If you collab
2.050J/12.006J/18.353J Nonlinear Dynamics I: Chaos, Fall 2012
Problem Set 4
Due at 12:01 pm on Friday, October 5th, in the b ox provided. No late psets
are accepted. If you collaborated with other students in the class, list their names on the title sheet