Abstract
In this paper a 6-D optoelectronic system consisting of an optical injected semiconductor laser driven by a resonant tunneling diode is reported. A stability analysis of the hybrid system is analytically and numerically performed and paramount role of the effective gain coefficient is stuck out in the framework of new stability control. As a result, this parameter allows improving the accuracy of the stability study by circumscribing locked and unlocked regions. Besides, a narrow area of stability is pointed up within the sea of unstable points from which a complex fractal attractor so-called infinite-scroll attractor is highligted. Thereby, Simulink shows generation effectiveness of infinite-scroll attractor erratically interpersed by laminar phases. Also dynamics of Lyapunov exponents has confirmed that it refers to a strange fractal attractor. Moreover chaos control is structurally carried out by direct current polarisation.
Highlights
Chaos is a rich nonlinear phenomenon characterized by interesting properties such as unpredictability, ergodicity, mixing property, complicated structure dynamics, deterministic dynamics, high sensitivity to initial condition [1] to name a few
Thereby, the study reveals a shrunk area of the system from which nonlinear dynamics can be undertaken as attraction basin and a sea of points in which the system drops to instability
We have investigated stability analysis of a novel OEIC in the framework of weak and strong optical injection
Summary
Chaos is a rich nonlinear phenomenon characterized by interesting properties such as unpredictability, ergodicity, mixing property, complicated structure dynamics, deterministic dynamics, high sensitivity to initial condition [1] to name a few. Many natural and non-natural systems are commonly modeled by nonlinear differential equations exhibiting chaos. Nonlinear process plays as a cornerstone in developing and understanding novel complex systems as well it has received significant attentions in various fields. Chaotic systems have been attracted in several scientist fields and usually play a relevant role improving their performances. There are many reasons why the nonlinear dynamics have been intensively studied in recent years. For example in physics to mention merely a few, nonlinear dynamics offers a great opportunity to improve memristive systems [2, 3], circuit-systems [4, 5] lasers [6, 7] RTD optoelectronic based-systems [8], etc
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