Three-dimensional self-organizing dynamical systems for discrete structures memorizing and retrieval

The synthesis concept for dynamical system with the memory of multiple states defined with the quaternion algebra usage is considered. The system memorizes numerous configurations consisting of separate nodes and retrieves any of them from the non-stationary distorted state. Each stored configuration corresponds to the particular attractor of the dynamical system, defined by the set of nonlinear ordinary differential equation in the hypercomplex domain. The model demonstrates the intelligence in sample structure assembling based on the initial desire, that is shown numerically in the paper. Such models can be used in robotics, complex information systems and in pattern recognition tasks.

• Type: Conference
• Year: 2007
• Where: ESANN
• Authors: Alexander Yudashkin
• Keywords: Dynamical System, ESANN 2007, Neural Networks, Non-stationary Distorted State, Quaternion Algebra Usage