Mixed-mode oscillations in a nonlinear time delay oscillator with time varying parameters

DOI10.1016/j.cnsns.2016.10.011OpenAlexW2535853530MaRDI QIDQ2005214

Qinsheng Bi, Chun Zhang, Yue Yu, Xiujing Han

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.10.011

zbMATH Keywords

time delayparametric excitationbifurcation mechanismmix-mode oscillations (MMOs)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

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Cites Work

• Unnamed Item
• Unnamed Item
• A modified averaging scheme with application to the secondary Hopf bifurcation of a delayed van der Pol oscillator
• Stability, bifurcation and chaos of a delayed oscillator with negative damping and delayed feedback control
• Stability and Hopf bifurcation of a class of TCP/AQM networks
• Dissection of a model for neuronal parabolic bursting
• Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
• Stability and bifurcation in a neural network model with two delays.
• Effects of time delayed position feedback on a van der Pol-Duffing oscillator
• Complex mixed-mode oscillations in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation
• Steady state bifurcation of a periodically excited system under delayed feedback controls
• Hopf-bifurcation-delay-induced bursting patterns in a modified circuit system
• Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method
• Bursting oscillations, bifurcation and synchronization in neuronal systems
• Hopf bifurcation analysis in a tri-neuron network with time delay
• Second order averaging and bifurcations to subharmonics in duffing's equation
• Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron
• Elements of applied bifurcation theory

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