1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh-Rose model
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Publication:494920
DOI10.1007/s11071-014-1696-3zbMath1331.92031OpenAlexW2044991890MaRDI QIDQ494920
Publication date: 2 September 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-014-1696-3
Neural biology (92C20) Dynamical systems in biology (37N25) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Resonance phenomena for ordinary differential equations involving randomness (34F15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Codimension-two bifurcations analysis and tracking control on a discrete epidemic model
- The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence
- Codimension-two bifurcation analysis in two-dimensional Hindmarsh-Rose model
- Bifurcation and chaotic behavior of a discrete-time predator-prey system
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- An alternative bifurcation analysis of the Rose--Hindmarsh model
- Bifurcation and chaos in discrete FitzHugh-Nagumo system
- Bifurcations of a predator-prey system of Holling and Leslie types
- Complex dynamic behaviors of a discrete-time predator-prey system
- Multiple bifurcations and periodic ``bubbling in a delay population model
- Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- APPLICATION OF A TWO-DIMENSIONAL HINDMARSH–ROSE TYPE MODEL FOR BIFURCATION ANALYSIS
- DELAY-INDUCED DYNAMICAL TRANSITIONS IN SINGLE HINDMARSH–ROSE SYSTEM
- A Concise Handbook of Mathematics, Physics, and Engineering Sciences
- Chimera States in Networks of Nonlocally Coupled Hindmarsh–Rose Neuron Models
- Deterministic and stochastic bifurcations in the Hindmarsh-Rose neuronal model
- Multiple Bifurcation Problems of Codimension Two
- COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL
- BIFURCATIONS IN TWO-DIMENSIONAL HINDMARSH–ROSE TYPE MODEL
- Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
- Bifurcations at $\infty$ in a model for 1:4 resonance
- Chaos in Dynamical Systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- ANALYTICAL APPROXIMATION OF HETEROCLINIC BIFURCATION IN A 1:4 RESONANCE
- METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL
- Chaos
- Elements of applied bifurcation theory
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