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Sep
20
comment Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
huh, I can't read the Li + Ruan article, but found these: ocw.mit.edu/courses/electrical-engineering-and-computer-science/… and phys.ttu.edu/~cmyles/Phys5306/Talks/2003/Driven_Dam_Pend.pdf
Sep
20
comment Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
thanks, I'll take a look!
Sep
12
answered Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
comment Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
maybe a change of variable $u=\theta-x$? Since $x=vt$, $\dot{u} = \dot{\theta} - v$ and $\ddot{u} = \ddot{\theta}$
Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
comment Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
Oskar, that sounds exactly what I should do, but I have no idea how to go about doing it. :-(
Sep
11
comment Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
You are correct that if $|v| > a/b$ then equilibrium is not possible. But I know that $v_{crit}$ is less than this, since the value is dependent on the initial values of $\theta$ and $\frac{d\theta}{dt}$.
Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
revised Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
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Sep
11
asked Technique for predicting attractor capture in nonlinear differential equations? (quasi-pendulum equation)
Jul
20
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Mar
23
asked Pippenger's algorithm (or other algorithms) for addition chains with regular binary structure
Mar
20
revised Best book ever on Number Theory
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Mar
20
awarded  Tumbleweed