Bifurcation phenomena and control analysis in class-B laser system with delayed feedback

DOI10.1007/s11071-014-1822-2zbMath1331.93075OpenAlexW2035936463MaRDI QIDQ490477

Hongbin Wang, Yuting Ding, Weihua Jiang

Publication date: 27 August 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1822-2

zbMATH Keywords

Hopf bifurcationnormal formdelayed feedback controldouble Hopf bifurcationclass-B laser system

Mathematics Subject Classification ID

Feedback control (93B52) Control problems for functional-differential equations (34K35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Lasers, masers, optical bistability, nonlinear optics (78A60) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (4)

Double Hopf bifurcation in active control system with delayed feedback: application to glue dosing processes for particleboard ⋮ Dynamic analysis of discrete-time, continuous-time and delayed feedback jerky equations ⋮ Stability and Hopf bifurcation analysis for a two-species commensalism system with delay ⋮ Dynamic analysis of nonlinear variable frequency water supply system with time delay

Uses Software

• Matlab

Cites Work

• Hopf-zero bifurcation in a generalized Gopalsamy neural network model
• Hopf bifurcation in delayed van der Pol oscillators
• Bifurcation analysis in the control of chaos by extended delay feedback
• Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft
• Spatio-temporal patterns of Hopf bifurcating periodic oscillations in a pair of identical tri-neuron network loops
• Bifurcation analysis in a predator-prey system with stage-structure and harvesting
• Synchronization in multiple time delay chaotic laser diodes subject to incoherent optical feedbacks and incoherent optical injection
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Two-parameter bifurcations in a network of two neurons with multiple delays
• Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
• DOUBLE HOPF BIFURCATION IN DELAYED VAN DER POL–DUFFING EQUATION
• Zero singularities of codimension two and three in delay differential equations
• Symmetric functional differential equations and neural networks with memory
• Bifurcation analysis in a scalar delay differential equation
• Applied Delay Differential Equations
• Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling

This page was built for publication: Bifurcation phenomena and control analysis in class-B laser system with delayed feedback