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Stability and Intermittency in Large-Scale Coupled Oscillator Models for Perceptual Segmentation
van Leeuwen C1, Steyvers, Nooter
1University of Amsterdam
Journal of Mathematical Psychology
|February 25, 1998
Summary
This study models perceptual segmentation using a coupled map lattice, finding that chaotic dynamics create and stabilize synchronized activity patterns. These patterns mimic visual field segmentation and switch between states for ambiguous stimuli.
Area of Science:
- Computational neuroscience
- Artificial intelligence
- Dynamical systems
Background:
- Perceptual segmentation is crucial for visual processing.
- Understanding the dynamics of pattern formation in neural systems is key.
- Coupled map lattices offer a framework for modeling complex neural dynamics.
Purpose of the Study:
- To propose a coupled map lattice as a model for perceptual segmentation.
- To investigate the role of chaotic dynamics in pattern formation and stability.
- To explore how adaptive connections and oscillations influence segmentation.
Main Methods:
- Utilizing a coupled map lattice with locally coupled nonlinear maps.
- Analyzing high-dimensional, deterministic chaos to generate synchronized activity patterns.
- Employing analytical tools and numerical simulations to study stability characteristics.
- Introducing adaptive connections and stimulus-controlled oscillations.
Main Results:
- Chaotic dynamics contribute to pattern creation and destabilize synchronized states.
- Network coupling strength and chaotic divergence rate determine stability.
- Stable or meta-stable patterns emerge with adaptive connections and oscillations, reflecting visual field structure.
- The model replicates experimental switching-time distributions for ambiguous patterns.
Conclusions:
- Coupled map lattices can model perceptual segmentation through synchronized chaotic dynamics.
- The model provides insights into the stability and adaptability of neural pattern formation.
- The system's behavior, including switching between segmentations, aligns with psychological observations.