Premium
Dynamics of the inclusions appearing in the return maps of chua's circuit I. The creation mechanism
Author(s) -
Kahlert Claus
Publication year - 1989
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.4490170105
Subject(s) - mathematics , invariant (physics) , constant (computer programming) , limiting , mathematical analysis , range (aeronautics) , computer science , mathematical physics , engineering , mechanical engineering , programming language , aerospace engineering
Abstract The island‐like inclusions that appear inside the range of the return map in Chua's circuit are investigated further. the condition for the creation of a new inclusion is shown to be closely related to the selection rule for the critical curve ø. Moreover, a solution of this problem can also be given in terms of λ, the boundary of the return map's domain, and so in simpler form. the phases of the special trajectories that mark the creation of an inclusion turn out to be virtually invariant through all values of the canonical parameter ρ. Moreover, the phase difference between subsequent creations appears to be close to a constant too. This fact allows one to formulate explicit expressions for the limiting behaviour of the creation curves.