Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser

Francke R, Pöschel T, Gallas J (2013)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

Physical Review E American Physical Society

Publisher: American Physical Society

Book Volume: 87

Article Number: 042907

Journal Issue: 4

DOI: 10.1103/PhysRevE.87.042907

Abstract

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.

Authors with CRIS profile

Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS) Jason Gallas Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS)

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

How to cite

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://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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