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Stability Analysis of Equilibrium Solutions using Small Perturbations
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[QUOTE="curiousPep, post: 6577533, member: 690381"] [B]Homework Statement:[/B] How can I find the condition for the system to be equilibrium and how to check if these solution are stable or not? [B]Relevant Equations:[/B] Equations of motion When I use Lagrange to get the equations of motion, in order to find the equilibrium conditions I set the parameters q as constants thus the derivatives to be zero and then calculate the q's that satisfy the equations of motion obtained. In ordert to check about stability I think I need to add some small perturbation, thus q' = q+dq. Then how can I check if the solutions are stable or not? [/QUOTE]
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Stability Analysis of Equilibrium Solutions using Small Perturbations
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