IEEE Transactions on Neural Networks · 2005 · 66 citations · 47 references
Life SciencesAutonomous SystemsNeuroscienceComputational NeuroscienceDynamical SystemsSystems NeuroscienceChaos TheoryNeural ModelingNeural NetworksNeural OscillationsNeural System ModelingNeuronal DynamicsChaotic Neural DynamicsNeural Circuit ArchitectureNeural Network DynamicsNeural Oscillation ModelingNeural Population ModelsNeuronal Network DynamicsOscillatory DynamicsSelection Mechanisms
Mesoscopic level neurodynamics study the collective dynamical behavior of neural populations. Such models are becoming increasingly important in understanding large-scale brain processes. Brains exhibit aperiodic oscillations with a much more rich dynamical behavior than fixed-point and limit-cycle approximation allow. Here we present a discretized model inspired by Freeman's K-set mesoscopic level population model. We show that this version is capable of replicating the important principles of aperiodic/chaotic neurodynamics while being fast enough for use in real-time autonomous agent applications. This simplification of the K model provides many advantages not only in terms of efficiency but in simplicity and its ability to be analyzed in terms of its dynamical properties. We study the discrete version using a multilayer, highly recurrent model of the neural architecture of perceptual brain areas. We use this architecture to develop example action selection mechanisms in an autonomous agent.
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Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text
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