TL;DR
This paper demonstrates that supersymmetry can effectively describe the fluctuations of periodic orbits in deterministic chaotic systems by relating them to the determinants of noise fields derived from the equations of motion.
Contribution
It introduces a novel approach linking supersymmetry to the analysis of chaos, specifically capturing orbit fluctuations through determinants of noise fields.
Findings
Supersymmetry captures fluctuations of periodic orbits.
Fluctuations are expressed via determinants of noise fields.
Provides a new mathematical framework for chaos analysis.
Abstract
We show that the fluctuations of the periodic orbits of deterministically chaotic systems can be captured by supersymmetry, in the sense that they are repackaged in the contribution of the absolute value of the determinant of the noise fields, defined by the equations of motion.
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