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

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SUMMARY

The discussion focuses on utilizing a star-shaped Slinky toy to visualize non-linear waves, specifically in an educational context. Participants explore the relationship between the star shape and the dynamical phase-space of non-linear waves. Key concepts include the definition of non-linear waves and their periodic patterns, as well as comparisons to linear waves, which are typically sinusoidal. This method is proposed as an effective teaching tool for illustrating complex wave phenomena.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with non-linear dynamics
  • Basic knowledge of periodic patterns in physics
  • Concept of phase-space in dynamical systems
NEXT STEPS
  • Research the properties of non-linear waves and their applications
  • Explore the concept of phase-space in non-linear dynamics
  • Investigate educational methods for teaching wave mechanics
  • Learn about the differences between linear and non-linear waveforms
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Educators, physics students, and anyone interested in visualizing and teaching complex wave phenomena through innovative methods.

mike2020
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TL;DR
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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