Premium
Boundary surfaces in sequential circuits
Author(s) -
Špány V.,
Plvka L.
Publication year - 1990
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490180404
Subject(s) - boundary (topology) , attractor , electronic circuit , chaotic , mathematics , state space , topology (electrical circuits) , surface (topology) , space (punctuation) , state (computer science) , mathematical analysis , control theory (sociology) , computer science , geometry , physics , algorithm , combinatorics , artificial intelligence , statistics , control (management) , quantum mechanics , operating system
Abstract One of the most important tasks in the analysis of a non‐linear system is lo determine its global behaviour and, in particular, to delineate the domains of attraction for asymptotically stable solutions. Stable manifolds often act as boundary surfaces between such domains in the state space. In this paper the morphology of boundary surfaces is studied in a single member of Chua's circuit family , although the techniques used apply equally well to many other non‐linear circuits. On the way, an answer is given to a former question of Matsumoto et al. concerning boundary surfaces in a chaotic circuit. Dynamical properties of a sequential circuit can be investigated by means of switching between the system's attractors, and boundary surfaces play a crucial role in the process of switching. As an application of the boundary surface techniques, dynamical properties of two models for ternary logic are presented and analysed.