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On the dynamic spaces and on the equations of motion of non‐linear
Author(s) -
Szatkowski Andrzej
Publication year - 1982
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.4490100202
Subject(s) - motion (physics) , vector space , mathematics , space (punctuation) , point (geometry) , rlc circuit , equations of motion , field (mathematics) , mathematical analysis , computer science , topology (electrical circuits) , pure mathematics , classical mechanics , geometry , physics , artificial intelligence , quantum mechanics , voltage , capacitor , operating system , combinatorics
The problems of the qualitative theory of non‐linear RLC networks are considered from a geometric point of view. Several general properties of the dynamic space of the network are presented. The concept of the vector field generated by the network on its dynamic space is introduced and discussed. The equations of motion are formulated in the forms which are useful in the qualitative analysis of the solutions.