- #1

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- TL;DR Summary
- The validity of spectral solution in chaotic systems.

Hello everyone,

This is a question related to a research article involving a chaotic system that required to be solved numerically. I was trying to employ one of the spectral methods to solve the two dimensional version of the so called Rossler chaotic system:

$$\frac{dx(t)}{dt}=-y(t),\\\frac{dy(t)}{dt}=x(t)+ay(t).$$

Unfortunately the solution is valid only of the small values of ##t##, i.e., ##t<5##. My question is whether the spectral methods are suitable for this problem in the first place, and if there is another polynomial based technique available.

This is a question related to a research article involving a chaotic system that required to be solved numerically. I was trying to employ one of the spectral methods to solve the two dimensional version of the so called Rossler chaotic system:

$$\frac{dx(t)}{dt}=-y(t),\\\frac{dy(t)}{dt}=x(t)+ay(t).$$

Unfortunately the solution is valid only of the small values of ##t##, i.e., ##t<5##. My question is whether the spectral methods are suitable for this problem in the first place, and if there is another polynomial based technique available.