Timeline for Using eigenvalues to determine the stability/behaviour of the system
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 18, 2012 at 4:46 | comment | added | Luboš Motl | Dear Ronald, not sure whether I understand but if I do, eigenvalues generally correspond to the behavior of all degrees of freedom, or their mixture. It's not one-for-one. If you're asking what a complex eigenvalue means, the imaginary part means that the solution is oscillating (in this case). Complex eigenvalues of real matrices/ equations are always paired to eigenvalues that are complex conjugates to each other, one for cos and one for sin, expressing oscillations. The real part determines the damping, exponential increase or decrease. | |
| Oct 16, 2012 at 16:23 | comment | added | Rawb | hey, I was wondering if you could help with one other thing... that is whether there is a way to tell which eigenvalue corresponds to which variable.. not necessarily for a damped pendulum, but for any system in general. Like, for example, if we get a positive real and negative real eigenvalue. | |
| Oct 15, 2012 at 19:39 | vote | accept | Rawb | ||
| Oct 15, 2012 at 19:39 | comment | added | Rawb | ah alright... the question obviously has a typo in my book... I really couldn't make sense of the situation but this makes perfect sense now .. and thanks for the explanation after, answers my original question too | |
| Oct 15, 2012 at 17:54 | history | answered | Luboš Motl | CC BY-SA 3.0 |