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A Simple Guide for Plotting a Proper Bifurcation Diagram
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021In this paper, we propose a guideline for plotting the bifurcation diagrams of chaotic systems. We discuss numerical and mathematical facts in order to obtain more accurate and more elegant bifurcation diagrams.
A. Jafari +4 more
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Modeling as a Means to Develop New Ideas: The Case of Reinventing a Bifurcation Diagram
PRIMUS - Problems, Resources, and issues in mathematics undergraduate studies, 2019This article provides an overview of a modeling sequence that culminates in student reinvention of a bifurcation diagram. The sequence is the result of years of classroom-based research and curriculum development grounded in the instructional design ...
C. Rasmussen +3 more
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Density-Colored Bifurcation Diagrams - A Complementary Tool for Chaotic Map Analysis
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2023This work presents a numerical method to color the bifurcation diagram of any discrete map, based on the distribution of the map’s values in its domain.
L. Moysis, M. Lawnik, Christos K. Volos
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Bifurcation diagram of coupled thermoacoustic chaotic oscillators.
Chaos, 2018A thermoacoustic chaotic oscillator is a fluid system that presents thermally induced chaotic oscillations of a gas column. This study experimentally reports a bifurcation diagram when two thermoacoustic chaotic oscillators are dissipatively coupled to ...
R. Delage, Y. Takayama, T. Biwa
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Bifurcation Diagram of a Map with Multiple Critical Points
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2018M. Romera +7 more
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Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017
Hiroaki Kikuchi, Juncheng Wei
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Hiroaki Kikuchi, Juncheng Wei
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BIFURCATION DIAGRAM AND CONTROL OF LOCALIZED LASER STRUCTURES
, 2012P. Genevet +4 more
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