The Lagrangian for a system with one degree of freedom is given by \[ L=\frac{1}{2} m \dot{x}^2 - \omega^2 x^2 -\alpha x^4 + \beta x \dot{x}^2\]
- Obtain the momentum conjugate to \(x\) and the Hamiltonian
- Write the Hamiltonian equations of motion.
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4727:Diamond Point
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