Bifurcation analysis of a two-dimensional discrete Hindmarsh-Rose type model
From MaRDI portal
Publication:1739836
DOI10.1186/s13662-019-2062-zzbMath1459.39034OpenAlexW2923981205MaRDI QIDQ1739836
Publication date: 29 April 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2062-z
Neimark-Sacker bifurcationsymmetric orbitsflip bifurcationHindmarsh-Rose modelpitchfork bifurcation\(1:2\) resonance
Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)
Related Items
Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ Neimark-Sacker bifurcation and the generate cases of Kopel oligopoly model with different adjustment speed ⋮ Resonance oscillation and transition to chaos in \(\phi^8\)-Duffing-van der Pol oscillator
Cites Work
- Unnamed Item
- Codimension-two bifurcations analysis and tracking control on a discrete epidemic model
- Hopf and zero-Hopf bifurcations in the Hindmarsh-Rose system
- Dynamic analysis of discrete-time, continuous-time and delayed feedback jerky equations
- Bifurcation and chaotic behavior of a discrete-time Ricardo-Malthus model
- Dynamics of a neuron model in different two-dimensional parameter-spaces
- Codimension-two bifurcation analysis in two-dimensional Hindmarsh-Rose model
- 1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh-Rose model
- Codimension-two bifurcation, chaos and control in a discrete-time information diffusion model
- Bifurcation and chaotic behavior of a discrete-time predator-prey system
- Stability of the synchronized network of Hindmarsh-Rose neuronal models with nearest and global couplings
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Applications of centre manifold theory
- Bifurcations in a discrete predator-prey model with nonmonotonic functional response
- \(1:3\) resonance and chaos in a discrete Hindmarsh-Rose model
- Bifurcations and chaos of a discrete-time model in genetic regulatory networks
- Organization of the periodicity in the parameter-space of a glycolysis discrete-time mathematical model
- Complex dynamic behaviors of a discrete-time predator-prey system
- Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model
- APPLICATION OF A TWO-DIMENSIONAL HINDMARSH–ROSE TYPE MODEL FOR BIFURCATION ANALYSIS
- Codimension-two bifurcation analysis of a discrete predator–prey model with nonmonotonic functional response
- BIFURCATIONS IN TWO-DIMENSIONAL HINDMARSH–ROSE TYPE MODEL
- Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
- Chaos in Dynamical Systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Integral Step Size Makes a Difference to Bifurcations of a Discrete-Time Hindmarsh–Rose Model
- Chaos
- Elements of applied bifurcation theory
