环上向量场单调族的最简单分岔图示例 *

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Nonlinearity Pub Date : 2024-09-15 DOI:10.1088/1361-6544/ad6b70

Claude Baesens, Marc Homs-Dones and Robert S MacKay

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引用次数: 0

摘要

我们举例说明环上向量场的单调双参数族，证明其分岔图属于 Baesens 和 MacKay 提出的 "最简单 "图类（2018 Nonlinearity31 2928-81）。这表明所提出的类别是可以实现的。

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Example of simplest bifurcation diagram for a monotone family of vector fields on a torus *

We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of ‘simplest’ diagrams proposed by Baesens and MacKay (2018 Nonlinearity31 2928–81). This shows that the proposed class is realisable.

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来源期刊

Nonlinearity 物理-物理：数学物理

CiteScore

3.00

自引率

5.90%

发文量

170

审稿时长

12 months

期刊介绍： Aimed primarily at mathematicians and physicists interested in research on nonlinear phenomena, the journal''s coverage ranges from proofs of important theorems to papers presenting ideas, conjectures and numerical or physical experiments of significant physical and mathematical interest. Subject coverage: The journal publishes papers on nonlinear mathematics, mathematical physics, experimental physics, theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance. A more detailed indication is given by the subject interests of the Editorial Board members, which are listed in every issue of the journal. Due to the broad scope of Nonlinearity, and in order to make all papers published in the journal accessible to its wide readership, authors are required to provide sufficient introductory material in their paper. This material should contain enough detail and background information to place their research into context and to make it understandable to scientists working on nonlinear phenomena. Nonlinearity is a journal of the Institute of Physics and the London Mathematical Society.