A simple way to vizualize non-linear waves with a star Slinky toy

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In summary, the conversation discusses using a star-shaped Slinky toy to teach about non-linear waves and signals to students. The star-shape may be related to the dynamical phase-space of the non-linear wave. The participants also inquire about the characteristics of a linear wave and its relationship to a non-linear, dispersive medium.
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mike2020
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teaching non-linear waves with a star-shaped Slinky toy
Some Slinky toys are star-shaped (1st picture), like my daughter's one. Then, when extending them , it forms a periodic pattern: a non-linear wave!
It could be helpful to teach what is a nonlinear-wave or signal to students. The star-shape may be related to the dynamical phase-space of this non-linear wave. Any thoughts on this connection?
 

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mike2020 said:
TL;DR Summary: teaching non-linear waves with a star-shaped Slinky toy

what is a nonlinear-wave or signal
Could you give some reference to this term please?

What would a "linear wave" look like? Would it be sinusoidal? Are you describing a wave travelling through a non linear, dispersive medium?
 
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