Order in chaos: Structure of chaotic invariant sets of square-wave neuron models
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Publication:4989094
DOI10.1063/5.0043302zbMath1460.92038OpenAlexW3145927948MaRDI QIDQ4989094
M. Angeles Martínez, Roberto Barrio, Sergio E. Serrano
Publication date: 20 May 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0043302
Neural biology (92C20) Dynamical systems in biology (37N25) Symbolic dynamics (37B10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)
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- Repellers, semi-attractors, and long-lived chaotic transients
- Structural stability of Lorenz attractors
- Periodic orbits as the skeleton of classical and quantum chaos
- Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction
- From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings
- From template analysis to generating partitions. II: Characterization of the symbolic encodings
- Knotted periodic orbits in dynamical systems. I: Lorenz's equations
- Complete dynamical analysis of a neuron model
- Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
- Spike-adding structure in fold/hom bursters
- Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons
- Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry
- Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
- Topological analysis of chaotic dynamical systems
- The Topology of Chaos
- Algorithm 924
- Homoclinic organization in the Hindmarsh–Rose model: A three parameter study
- Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
- Topological analysis of chaos in neural spike train bursts
- Applied Symbolic Dynamics and Chaos
- Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh--Rose Burster
- NEURAL EXCITABILITY, SPIKING AND BURSTING
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