2024
DOI: 10.1093/mnras/stae1216
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Applying zero-crossing method for frequency map analysis of dynamical systems

Denis Yurin,
Maxim Makukov,
Dana Kuvatova
et al.

Abstract: We present a simple method for estimating fundamental frequencies from orbit’s time series of triaxial dynamical systems based on the zero-crossing technique. The simplicity and high performance of the method make it a viable alternative to more advanced, but rather complex and computationally expensive techniques based on Fourier spectral analysis and iterative torus-mapping with action-angle variables. More importantly, the method provides a simple and quick way to identify irregular orbits and quantify thei… Show more

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