Abstract: An apparatus and method for analyzing known data, and storing the known data in a pattern database (“PDB”) as a template is provided. Additional methods are provided for comparing target data against the templates in the PDB. The data is stored in such a way as to facilitate the visual recognition of desired patterns or indicia indicating the presence of a desired or undesired feature within the new data. The apparatus and method is applicable to a variety of applications where large amounts of information are generated, and/or if the data exhibits fractal or chaotic attributes.

Abstract: A method for description and simulation based on organizing data into maps of invariants, the invariants being points of energy balance in a system of interest which is either in a stationary state or in a transitory disturbed state. The method includes identifying invariants in the system of interest by identifying primary sources and sinks of energy, identifying secondary energy sources and sinks coupled to the primary sources and sinks, and coupling all such sources and sinks into a network of transformations organized around nodes of those sources and sinks corresponding to the invariants, each of the nodes being characterized by a locally defined principle of balanced self-organization in a system with both a conservation law and energy dissipation. Such a system becomes “organized” upon achievement of a critical rate of entropy flux into the environment. Associated with each invariant are response rates related to energy transfer rates into and out of the invariants.

Abstract: An apparatus and method for analyzing known data, and storing the known data in a pattern database (“PDB”) as a template is provided. Additional methods are provided for comparing target data against the templates in the PDB. The data is stored in such a way as to facilitate the visual recognition of desired patterns or indicia indicating the presence of a desired or undesired feature within the new data. The apparatus and method is applicable to a variety of applications where large amounts of information are generated, and/or if the data exhibits fractal or chaotic attributes.