- #1
Oerg
- 352
- 0
I was reading Strogatz's book on nonlinear dynamics and chaos and in Example 7.2.2, he stated the energy function of the nonlinear oscillator
[tex] \ddot{x} + (\dot{x})^3 + x = 0[/tex]
as
[tex] E(x, \dot{x}) = \frac{1}{2} (x^2 + \dot{x}^2) [/tex]
But isn't this the energy function for the harmonic oscillator [tex] \ddot{x} + x = 0[/tex] since [tex] \int x \, dx = \frac{1}{2} x^2 [/tex]?
[tex] \ddot{x} + (\dot{x})^3 + x = 0[/tex]
as
[tex] E(x, \dot{x}) = \frac{1}{2} (x^2 + \dot{x}^2) [/tex]
But isn't this the energy function for the harmonic oscillator [tex] \ddot{x} + x = 0[/tex] since [tex] \int x \, dx = \frac{1}{2} x^2 [/tex]?