Codimension two bifurcations of discrete Bonhoeffer-van der Pol oscillator model

DOI10.1007/s00500-020-05524-0OpenAlexW3126829989MaRDI QIDQ2099934

Z. Eskandari, M. Asadipour, Javad Alidousti, Mojtaba Fardi

Publication date: 21 November 2022

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-020-05524-0

zbMATH Keywords

bifurcationnumerical continuationresonanceperiod doublingNeimark-SackerBVP model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10)

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Strong resonance bifurcations and state feedback control in a discrete prey-predator model with harvesting effect ⋮ Rich dynamics of discrete time-delayed Moran-Ricker model ⋮ Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting ⋮ Bifurcation patterns in a discrete predator-prey model incorporating ratio-dependent functional response and prey harvesting ⋮ Codimension-2 bifurcations on the curve of the Neimark-Sacker bifurcation for a discrete-time chemical model

Cites Work

• Unnamed Item
• Qualitative investigation of a particular nonlinear system
• Bursting oscillations, bifurcation and synchronization in neuronal systems
• Stability Analysis for the Slow Travelling Pulse of the FitzHugh–Nagumo System
• Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• CHAOS BEHAVIOR IN THE DISCRETE BVP OSCILLATOR
• Chaos in the Hodgkin--Huxley Model
• Subcritical Elliptic Bursting of Bautin Type
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• CONNECTIONS BETWEEN SADDLES FOR THE FITZHUGH–NAGUMO SYSTEM
• Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues
• Lyapunov functionals and stability for FitzHugh-Nagumo systems

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