两个等时共振扰动的二次无剪切分岔。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-04-01 DOI:10.1063/5.0233732

B B Leal, M J Lazarotto, M Mugnaine, A M Ozorio de Almeida, R L Viana, I L Caldas

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引用次数: 0

摘要

无剪切曲线是非扭转系统的特征，在扭转系统中是不可能存在的。然而，在一些仍然满足扭转条件的研究中，岛屿中心区域出现了二次无剪切曲线。除了这些研究之外，我们还提出了当两个独立共振在同一共振面上相互作用时出现二次无剪切曲线的情况。通过改变扰动参数的大小，我们观察到多个次级无剪切曲线的出现，它们可以成对出现，也可以单独出现。我们的结果适用于两个离散系统——双谐波标准图和乌尔曼图——以及沃克-福特哈密顿流。

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Secondary shearless bifurcations for two isochronous resonant perturbations.

Shearless curves are characteristic of nontwist systems and are not expected to exist in twist systems. However, the appearance of secondary shearless curves in the central area of islands has been reported in a few studies where the twist condition is still satisfied. In addition to these studies, we present a scenario in which secondary shearless curves emerge when two independent resonances interact on the same resonant surface. By varying the magnitude of the perturbation parameters, we observe the emergence of multiple secondary shearless curves, which can appear in pairs or individually. Our results are obtained for two discrete systems-the two-harmonic standard map and the Ullmann map-as well as for the Walker-Ford Hamiltonian flow.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.