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Illing L, Hoth G, Shareshian L, et al. Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators. Phys Rev E Stat Nonlin Soft Matter Phys. 2011;83(2):026107doi: 10.1103/PhysRevE.83.026107.
Illing, L., Hoth, G., Shareshian, L., & May, C. (2011). Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators. Physical review. E, Statistical, nonlinear, and soft matter physics, 83(2), 026107. https://doi.org/10.1103/PhysRevE.83.026107
Illing, Lucas, et al. "Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 83,2 (2011): 026107. doi: https://doi.org/10.1103/PhysRevE.83.026107
Illing L, Hoth G, Shareshian L, May C. Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Feb;83(2):026107. doi: 10.1103/PhysRevE.83.026107. Epub 2011 Feb 23. PMID: 21405889.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Feb;83(2):026107. doi: 10.1103/PhysRevE.83.026107. Epub 2011 Feb 23.

Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators.

Physical review. E, Statistical, nonlinear, and soft matter physics

Lucas Illing, Greg Hoth, Lauren Shareshian, Christopher May

Affiliations

  1. Department of Physics, Reed College, Portland, Oregon 27708, USA. [email protected]

PMID: 21405889 DOI: 10.1103/PhysRevE.83.026107

Abstract

We study the effect of asymmetric coupling strengths on the onset of oscillations in delay-coupled nonlinear systems. Our experiment consists of two wide-band optoelectronic devices that are cross-coupled. We find that oscillations appear in the system when the product of the two coupling strengths exceeds a critical value. Beyond the oscillation threshold, the oscillation amplitudes grow smoothly and we find a scaling law that describes the dependence of the amplitude on the coupling strengths. The observations are in good agreement with predictions from linear stability analysis and normal form theory.

©2011 American Physical Society

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