Detecting Stability and Bifurcation Points in Control-Based Continuation for a Physical Experiment of the Zeeman Catastrophe Machine-Reference-Cited by-同舟云学术

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Detecting Stability and Bifurcation Points in Control-Based Continuation for a Physical Experiment of the Zeeman Catastrophe Machine

Published:2023-06-23 Issue:2 Volume:22 Page:1275-1299
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Dittus Anna¹,Kruse Niklas¹,Barke Ingo²,Speller Sylvia²,Starke Jens¹

Affiliation:

1. Universität Rostock, Institut für Mathematik, Ulmenstr. 69, Haus 3, D-18057 Rostock, Germany.

2. Universität Rostock, Insitut für Physik, Albert-Einstein-Str. 23-24, D-18059 Rostock, Germany, and Universität Rostock, Department of Life, Light & Matter, Albert-Einstein-Str. 25, D-18059 Rostock, Germany.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modeling and Simulation,Analysis

Reference37 articles.

1. Stabilization of period doubling bifurcations and implications for control of chaos

2. Control-based continuation: Bifurcation and stability analysis for physical experiments

3. Systematic experimental exploration of bifurcations with noninvasive control

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Experimental bifurcation analysis of a clamped beam with designed mechanical nonlinearity;Nonlinear Dynamics;2024-06-24

2. Stroboscopic control and tracking of periodic states;Nonlinear Dynamics;2023-12-07

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