Hamiltonians representing equations of motion with damping due to friction
Suppose that $H(q,p)$ is a Hamiltonian on a manifold M, and $\tilde L(q,\dot q)$, the Rayleigh dissipation function, satisfies the same hypotheses as a Lagrangian on the manifold M. We provide a Hamiltonian framework that gives the equation $$ \dot q = \frac{\partial H}{\partial p}(q,p) ,...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/89/abstr.html |