Parametric excitation and Hopf bifurcation analysis of a time delayed nonlinear feedback oscillator

DOI10.1007/s40819-020-00925-zOpenAlexW3096926569MaRDI QIDQ2026885

Sandip Saha, Sangeeta Kumari, Gautam Gangopadhyay, Ranjit Kumar Upadhyay

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00115

zbMATH Keywords

time delaylimit cycleparametric resonancebifurcation analysisKrylov-Bogoliubov averaging methodLiénard oscillator

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-oscillation
• Stability, bifurcation and chaos of a delayed oscillator with negative damping and delayed feedback control
• Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Discrete delay, distributed delay and stability switches
• Reduction of kinetic equations to Liénard-Levinson-Smith form: counting limit cycles
• Isochronicity and limit cycle oscillation in chemical systems
• When an oscillating center in an open system undergoes power law decay
• Parametrically excited non-linearity in Van der Pol oscillator: resonance, anti-resonance and switch
• Bifurcation analysis in van der Pol's oscillator with delayed feedback
• OSCILLATION-SLIDING IN A MODIFIED VAN DER POL–DUFFING ELECTRONIC OSCILLATOR
• Renormalization Group Theory for Global Asymptotic Analysis
• A Van der Pol–Mathieu equation for the dynamics of dust grain charge in dusty plasmas
• Isochronous Systems
• VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK
• Renormalization Reductions for Systems with Delay
• DELAY, PARAMETRIC EXCITATION, AND THE NONLINEAR DYNAMICS OF CUTTING PROCESSES

This page was built for publication: Parametric excitation and Hopf bifurcation analysis of a time delayed nonlinear feedback oscillator