On Coupled Delayed Van der Pol-Duffing Oscillators

被引：1
|
作者：
Pandey, Ankan [1 ]
Mitra, Mainak [2 ]
Ghose-Choudhury, A. [3 ]
Guha, Partha [1 ]
机构：
[1] SN Bose Natl Ctr Basic Sci, JD Block,Sect 3, Kolkata 700106, India
[2] Ramakrishna Mission Residential Coll Autonomous N, Kolkata 700103, W Bengal, India
[3] Diamond Harbour Womens Univ, Dept Phys, Sarisha 743368, W Bengal, India
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2020年 / 9卷 / 04期
关键词：
Van Der Pol-Duffing Oscillator; Delay coupling; Hopf bifurcation; Slow-flow analysis; STABILITY;
D O I：
10.5890/JAND.2020.12.004
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We investigate the dynamics of a delay differential coupled Duffing-Van der Pol oscillator equation. Using the Lindstedt's method, we derive the in-phase mode solutions and then obtain the slow flow equations governing the stability of the in-phase mode by employing the two variable perturbation method. We solve the slow flow equations using series expansion and obtain conditions for Hopf bifurcation and studied stability of the in-phase mode. Finally, we studied stability and bifurcations of the origin. Our interest in this system is due to the fact that it is related to the coupled laser oscillators. (C) 2020 L&H Scientific Publishing, LLC. All rights reserved.
引用
收藏
页码：567 / 574
页数：8
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