臺灣博碩士論文加值系統

這篇論文最主要是對於Duffing Equation裡的各個參數及不同的初始值做改變來觀察其變化，再輔助以數學軟體增加我們對於該方程的了解。

This presentation investigates the changes of parameters and different initial conditions will do to the Duffing equation. And simulating by computer to get more clear intuition about it.

1.introdution
2.the unperturbed duffing equation
3.damped unforced duffing equation
4.damped forced duffing equation
5.interesting example
6.conclution
reference
appendix : the codes of the graphs

[1] Thomas S. Parker & Leon O. Chua, Practical Numerical Algorithms for Chaotic Systems, Springer-Verlag, New York, 1989.
[2] John Guckenheimer & Philip Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, 1986.
[3] Stephen Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, 1990.
[4] Arun V. Holden ed., Chaos, Manchester University Press, UK, 1986.
[5] J. M. T. Thompson & H. B. Stewart, Nonlinear dynamics and chaos: Geometrical methods for engineers and scientists, Wiley, Chichester, 1986.