MULTISCALE COMPUTATIONS ON NEURAL NETWORKS: FROM THE INDIVIDUAL NEURON INTERACTIONS TO THE MACROSCOPIC-LEVEL ANALYSIS
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Publication:5306419
DOI10.1142/S0218127410025442zbMath1183.92006MaRDI QIDQ5306419
Konstantinos Spiliotis, Constantinos I. Siettos
Publication date: 9 April 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Applications of graph theory (05C90) Random graphs (graph-theoretic aspects) (05C80) Applications of mathematical programming (90C90) Neural networks for/in biological studies, artificial life and related topics (92B20)
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Cites Work
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- Optimization by Simulated Annealing
- Thermodynamical approach to the travelling salesman problem: An efficient simulation algorithm
- A theoretical model of phase transitions in human hand movements
- Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions
- A timestepper approach for the systematic bifurcation and stability analysis of polymer extrusion dynamics
- Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem
- Geometric singular perturbation theory for ordinary differential equations
- Collective synchronization of pulse-coupled oscillators and excitable units
- A mathematical theory of visual hallucination patterns
- On the simulation of large populations of neurons.
- Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays
- Two-bump solutions of Amari-type models of neuronal pattern formation
- Waves, bumps, and patterns in neural field theories
- Reduced computations for nematic-liquid crystals: a timestepper approach for systems with continuous symmetries
- Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-di\-men\-sion\-al approach
- An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems
- Stationary Bumps in Networks of Spiking Neurons
- Modeling Single-Neuron Dynamics and Computations: A Balance of Detail and Abstraction
- Neuronal Computations with Stochastic Network States
- Stabilization of Unstable Procedures: The Recursive Projection Method
- Multiple Bumps in a Neuronal Model of Working Memory
- Large deviations for mean field models of probabilistic cellular automata
- Symmetry and phaselocking in chains of weakly coupled oscillators
- Maintained Activity in Neural Nets
- Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
- Spatial Patterns for Discrete Models of Diffusion in Excitable Media
- An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions
- The Structure and Function of Complex Networks
- Effective bifurcation analysis: a time-stepper-based approach
- A Population Study of Integrate-and-Fire-or-Burst Neurons
- Generating Random Regular Graphs Quickly
- EQUATION-FREE, EFFECTIVE COMPUTATION FOR DISCRETE SYSTEMS: A TIME STEPPER BASED APPROACH
- Exploring complex networks
- Critical Analysis of Dimension Reduction by a Moment Closure Method in a Population Density Approach to Neural Network Modeling
- Brownian motion in a field of force and the diffusion model of chemical reactions
