What Is the Van der Pol Oscillator Used For?

[the_godfather]

basically need to look up and use this formula but i can't remember the name.
i know it has uses in other fields apart from super lattice structures. basically it forms an outward spiral until it reaches an equilibrium point and forms a circle. i think it has a double barrel name and is named after a famous physicist/engineer that first applied it.
sorry i can't be any more descriptive but that is all that i can remember at the moment

thank you to anyone that can help

EDIT: Van der Pol oscillator was the equation is was looking for

 

[AndyW]

.

Hello there,

Thank you for reaching out for help with the equation you are looking for. From your description, it sounds like you are referring to the Van der Pol oscillator.

The Van der Pol oscillator is a non-linear differential equation that describes the behavior of a system that exhibits limit cycle oscillations. It was first studied by the Dutch physicist Balthasar van der Pol in the early 1900s and has applications in various fields, including super lattice structures as you mentioned.

The equation is named after van der Pol and is often referred to as the "Rayleigh-Van der Pol equation" due to its similarity to the Rayleigh equation in fluid dynamics. It describes a system that exhibits a stable limit cycle, which means that it will oscillate between two states indefinitely.

I hope this helps and good luck with your research!