Method for characterizing dynamical systems
US5712801A · kind A · utility
Assignee
Inventor
Key dates
| Filing date | Sep 25, 1995 |
| Grant date | Jan 27, 1998 |
| Priority date | — |
| Expiry date | Sep 25, 2015 |
Classification
- Technology area (CPC A)Human Necessities
- CPC primaryA61B5/35
- WIPO fieldMedical technology
- WIPO sectorInstruments
Abstract
A method for characterizing the degree of similarity between phase space representations of trajectories of different dynamical systems. This method provides a computationally efficient technique for comparing different dynamical systems, or different dynamics exhibited by the same system. A first trajectory is designated as a template against which other trajectories are compared. A test trajectory is characterized by providing a measure based on determining the smallest distance between each point of the test trajectory to the template and then determining the largest of these smallest distances. The similarity of the two trajectories is quantified by establishing a lattice or grid for the phase space. For each lattice point, the distance, as given by a metric defined for the space, is calculated to the nearest point of the template trajectory. The minimum distance is retained and associated in a memory for each lattice point. The test trajectory is generated in the phase space with each data point of the test trajectory landing in a bin having a lattice point at its center. The previously determined shortest distance of that lattice point to the template trajectory is fetched fr…
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.