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

Source: [Tor: a toolbox for the continuation of two-dimensional tori in autonomous systems and non-autonomous systems with periodic forcing](<https://www.sota2.com/research/paper/68fa57f41e209131ce9a9de0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:02:39.743Z

Authors: Mingwu Li

Published: 2020-12-24T13:58:05.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2012.13256>)

[PDF](<https://arxiv.org/pdf/2012.13256.pdf>)