Presentation 1998/6/25
Bifurcation of periodic states in a coupled oscillator with hard characteristics
Hiroyuki KITAJIMA, Hiroshi KAWAKAMI,
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Abstract(in English) In previous report, we classified periodic solutions into eight different types according to their symmetrical properties.However stable solutions were only two types.In this report, to obtain more stable states, we investigate bifurcations observed in two identical BVP oscillators with fifth order characteristics coupled by an inductor containing resistive component.We consider two cases that the single oscillator has (1) hard oscillation and (2) three stable equilibrium points.In total we obtain six kinds of periodic solutions.Moreover in the case (2), chaotic attractors caused by a cascade of period-doubling bifurcations are found.
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Keyword(in English) symmetry / coupled system / bifurcation / nonlinear circuit
Paper # NLP98-28(1998-06)
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Committee NLP
Conference Date 1998/6/25(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Bifurcation of periodic states in a coupled oscillator with hard characteristics
Sub Title (in English)
Keyword(1) symmetry
Keyword(2) coupled system
Keyword(3) bifurcation
Keyword(4) nonlinear circuit
1st Author's Name Hiroyuki KITAJIMA
1st Author's Affiliation Faculty of Engineering, The University of Tokushima()
2nd Author's Name Hiroshi KAWAKAMI
2nd Author's Affiliation Faculty of Engineering, The University of Tokushima
Date 1998/6/25
Paper # NLP98-28(1998-06)
Volume (vol) vol.98
Number (no) 145
Page pp.pp.-
#Pages 8
Date of Issue