Francke R, Pöschel T, Gallas J (2013)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2013
Publisher: American Physical Society
Book Volume: 87
Article Number: 042907
Journal Issue: 4
DOI: 10.1103/PhysRevE.87.042907
We report numerical evidence showing that periodic oscillations can produce unexpected and wide-ranging zig-zag parameter networks embedded in chaos in the control space of nonlinear systems. Such networks interconnect shrimplike windows of stable oscillations and are illustrated here for a tunnel diode, for an erbium-doped fiber-ring laser, and for the Hénon map, a proxy of certain CO lasers. Networks in maps can be studied without the need for solving differential equations. Tuning parameters along zig-zag networks allows one to continuously modify wave patterns without changing their chaotic or periodic nature. In addition, we report convenient parameter ranges where such networks can be detected experimentally. © 2013 American Physical Society.
APA:
Francke, R., Pöschel, T., & Gallas, J. (2013). Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser. Physical Review E, 87(4). https://dx.doi.org/10.1103/PhysRevE.87.042907
MLA:
Francke, Ricardo, Thorsten Pöschel, and Jason Gallas. "Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser." Physical Review E 87.4 (2013).
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