Simulation Analysis of Routes to Chaos in Optoelectronic Delay Feedback Systems

Abstract

Abstract: Response time series of nonlinear optoelectronic delay feedback system is numerical analyzed. Broadband pass filter is inserted in feedback loop of model. Mathematical model of nonlinear optoelectronic delay feedback system is set up. Two routes to chaos are numerical analyzed by adjusting parameters of system. At specific φ, under condition of low feedback gain, fast square wave signal or slow cycle oscillation signal is observed. With increase of feedback gain, more complex periodic signal or chaos breather phenomenon is appeared. At higher feedback gain, output of system is from different dynamic regimes into chaos.

Key words: optoelectronic delay feedback system, chaos, dynamic property, nonlinear

CLC Number:

O438

BAO Xiurong. Simulation Analysis of Routes to Chaos in Optoelectronic Delay Feedback Systems[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(4): 499-504.

References

[1] WIGGINS, STEPHEN. Introduction to applied nonlinear dynamical systems and chaos[M]. Springer Science & Business Media, 2003.
[2] STEWART H B, THOMPSON J M T. Nonlinear dynamics and chaos[M]. John Wiley & Sons, 2002.
[3] GREGHOTH. The dynamics of delay coupled optoelectronic devices[D]. The Division of Mathematics and Natural Sciences Reed College, 2010:3-12.
[4] ERNEUX, THOMAS. Applied delay differential equations[M]. Springer Science & Business Media, 2009.
[5] SORIANO M C, GARCíA-OJALVO J, MIRASSO C R. Complex photonics:Dynamics and applications of delay-coupled semiconductors lasers[J]. Reviews of Modern Physics, 2013, 85(1):421-470.
[6] CALLAN K E, ILLING L, GAO Zheng. Broadband chaos generated by an optoelectronic oscillator[J]. Physical Review Letters, 2010, 104(11):113901.
[7] ZHUANG J P, CHAN S C. Tunable photonic microwave generation using optically injected semiconductor laser dynamics with optical feedback stabilization[J]. Optics Letters, 2013, 38(3):344-346.
[8] YAN S L. Period-one characteristic in an optoelectronic delayed feedback semiconductor laser and its application in sensing[J]. Chinese Optics Letters, 2015, 13(4):040401-040401.
[9] KOUOMOU Y C, COLET P, LARGER L, et al. Chaotic breathers in delayed electro-optical systems[J]. Physical Review Letters, 2005, 95(20):203903.
[10] CHENGUI GRG,TALLA AF, MBÉ JHT, COILLET A. Theoretical and experimental study of slow-scale Hopf limit-cycles in laser-based wideband optoelectronic oscillators[J]. JOSA B, 2014, 31(10):2310-2316.
[11] LARGER L. Complexity in electro-optic delay dynamics:modelling, design and applications[J]. Philosophical Transactions of the Royal Society of London A:Mathematical, Physical and Engineering Sciences, 2013, 371(1999):20120464.
[12] LARGER L, LACOURT P A. From flow to map in an experimental high-dimensional electro-optic nonlinear delay oscillator[J]. Physical Review Letters, 2005, 95(4):043903.
[13] PEIL M, M JACQUOT, CHEMBO Y K. Routes to chaos and multiple time scale dynamics in broadband bandpass nonlinear delay electro-optic oscillators[J]. Physical Review E, 2009, 79(2):026208.
[14] WCICKER L, ERNEUX T, D'HUYS O. Slow-fast dynamics of a time-delayed electro-optic oscillator[J]. Philosophical Transactions of the Royal Society of London A:Mathematical, Physical and Engineering Sciences, 2013, 371(1999):20120459.
[15] LARGER L, SORIANO MC, BRUNNER D. Photonic information processing beyond Turing:an optoelectronic implementation of reservoir computing[J]. Optics Express, 2012, 20(3):3241-3249.