Tor: a toolbox for the continuation of two-dimensional tori in autonomous systems and non-autonomous systems with periodic forcing

2020/12/24 by Mingwu Li, Li, Mingwu · 1 citation
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Mathematical Dynamics and Fractals #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2012.13256

Abstract

We present a toolbox for the continuation of two-dimensional tori in autonomous dynamical systems and non-autonomous systems with periodic forcing. A torus is solved as the solution to a boundary-value problem. Truncated Fourier series and collocation methods are used to discretize the boundary-value problem. This toolbox is based on the continuation package COCO (https://sourceforge.net/projects/cocotools/). A few examples are included to demonstrate the functionality of this toolbox.

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