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Math 53 Homework template
Math 53 Homework template
For math 53 homework
Jupiter Zhu
Homework 2  for Statistical Methods 3025Q
Homework 2 for Statistical Methods 3025Q
Statistical Methods 3025Q
Sydney Hyde
NTI 9-12
NTI 9-12
HW4
Marshal
Modular arithmetic for dummies
Modular arithmetic for dummies
Theory and olympiad problems involving modular arithmetic
Jasiek Kociniak
Juggling Card Sequences
Juggling Card Sequences
Math project.
esuhadolnik
Inleveropgaven Basiswiskunde, Week 2
Inleveropgaven Basiswiskunde, Week 2
Voor huiswerkopdrachten
Sliem el Ela
Forced Van Der Pol's Equation
Forced Van Der Pol's Equation
This work is going to analyze the Forced Van Der Pol's Equation which is used to analyze the electric circuit. In 1927, Balthasar Van Der Pol observed the stable oscillation and heard some irregular noise in vacuum tube circuit. He then proposed the Forced Van Der Pol's Equation to analyze the circuit and suggested the concept of limit cycle and Chaos to explain his observation. In this work, We would like to analyze behavior of the model by observing the phase space, time series, bifurcation diagram and power spectrum. Those points in the figures are calculated by Runge-Kutta Method with the aid of MATLAB. For a better understanding, the RLC circuit, which is a electric circuit consisting the a resistor, an inductor and a capacitor, will be used as an example for explaining the properties. Apart from electric circuit, the Forced Van Der Pol's Equation can be applied to dynamic systems in different aspect, such as the artificial heart, economic market and so on. Therefore, we suggest this work to all students since the Forced Van Der Pol's Equation can be applied to many majors, like Mathematics, Physics, Economics, Sociology, Biology, Engineering and so on.
Wallace, Homer

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