HYPERBOLIC PLYKIN ATTRACTOR CAN EXIST IN NEURON MODELS
From MaRDI portal
Publication:5474365
DOI10.1142/S0218127405014222zbMath1097.37055MaRDI QIDQ5474365
Erik Mosekilde, Vladimir N. Belykh, Igor V. Belykh
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (15)
Autonomous coupled oscillators with hyperbolic strange attractors ⋮ Hyperbolic Chaos and Other Phenomena of Complex Dynamics Depending on Parameters in a Nonautonomous System of Two Alternately Activated Oscillators ⋮ Example of blue sky catastrophe accompanied by a birth of Smale-Williams attractor ⋮ Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones ⋮ Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix ⋮ Cluster synchronization of time-varying delays coupled complex networks with nonidentical dynamical nodes ⋮ Cluster synchronization for linearly coupled complex networks with identical and nonidentical nodes ⋮ Symmetry-Independent Stability Analysis of Synchronization Patterns ⋮ HYPERBOLIC-LIKE PROPERTIES OF POPP'S ATTRACTOR ⋮ Cluster synchronization in uncertain neural networks through adaptive controllers ⋮ Cluster consensus on discrete-time multi-agent networks ⋮ A non-autonomous flow system with Plykin type attractor ⋮ Hyperbolic and non-hyperbolic chaos in a pair of coupled alternately excited FitzHugh-Nagumo systems ⋮ Scientific heritage of L. P. Shilnikov ⋮ A Lorenz-type attractor in a piecewise-smooth system: Rigorous results
Cites Work
- Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
- SYSTEMS WITH A HOMOCLINIC CURVE OF MULTIDIMENSIONAL SADDLE-FOCUS TYPE, AND SPIRAL CHAOS
- Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
- SOURCES AND SINKS OFA-DIFFEOMORPHISMS OF SURFACES
- Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
- ON SOME MATHEMATICAL TOPICS IN CLASSICAL SYNCHRONIZATION.: A TUTORIAL
- Chaos in the Hodgkin--Huxley Model
- NEURAL EXCITABILITY, SPIKING AND BURSTING
This page was built for publication: HYPERBOLIC PLYKIN ATTRACTOR CAN EXIST IN NEURON MODELS
