Define a nonlinear conservative system with example

Question

osprey · Answer

jango_IN_DTOWN Define a nonlinear conservative system with example **** gravity is inverse square law which is non linear, isn't it ? So is Coulomb's law, isn't it ? http://perendis.webs.com

irishboy123 · Answer

...simple idealised pendulum

definition:  $\vec V = - \nabla \phi$ where ...... don't know maths well enough but add summat about $\phi$ being non-lin 

my brainwashing leads me to think non-lin is all about DE's ;-(

jango_in_dtown · Answer

Can you define a non linear conservative system? The examples are fine. :) @osprey @IrishBoy123

osprey · Answer

I've got to add that I don't really understand the q. I'd never consciously have thought of grav and Coulomb as being "non linear", they're more conservative. Non linear tends to strike terror into what's left of my bird brain maths fear ... I'm thinking expansions in polynomials and Legendre functions etc etc etc ... but that's my problem.

irishboy123 · Answer

@osprey 

it's all math-ese, mate.  no need for it!!

a bit like this!!

|dw:1477907931326:dw|

i'm playing with this thing at the minute and it's just making me giggle.  why oh why :-)