Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model
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Publication:2517573
DOI10.1007/s11071-013-1161-8zbMath1319.37024OpenAlexW1985534580MaRDI QIDQ2517573
Publication date: 26 August 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-013-1161-8
chaosdiscrete dynamical systemNeimark-Sacker bifurcationflip bifurcationHindmarsh-Rose model1:1 resonance
Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Cites Work
- Unnamed Item
- Unnamed Item
- Codimension-two bifurcations analysis and tracking control on a discrete epidemic model
- 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
- Applications of centre manifold theory
- Codimension-two bifurcations in a pendulum with feedback control
- An alternative bifurcation analysis of the Rose--Hindmarsh model
- Melnikov's method and codimension-two bifurcations in forced oscillations
- Bifurcation and chaos in discrete FitzHugh-Nagumo system
- Bifurcations and stability of a discrete singular bioeconomic 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 discrete predator-prey system with Holling type-IV functional response
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- A Concise Handbook of Mathematics, Physics, and Engineering Sciences
- Simulating, Analyzing, and Animating Dynamical Systems
- 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
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms
- Chaos
- Elements of applied bifurcation theory
