Presentation 1994/5/19
Computation of bifurcation sets for non-linear differential equation with a discontinuous external force and its application to BVP equation
Osamu Morimoto, Tetsushi Ueta, Hiroshi Kawakami,
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Abstract(in English) We suggest a method to trace bifurcation sets of a nonautonomous system described by nonlinear differential equation with a discontinuous external force,i.e.periodic impulsive wave,periodic rectangular wave,etc.The trajectory changes discontinuously,but its Poincare^^' mapping can be represented by a differentiable map ping.Hence,it is possible to analyze in the same way as the case of continuous periodic signal.We apply this method to BVP equation, and obtain its bifurcation diagrams.
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Keyword(in English) periodic solution / non-autonomous system / bifurcation / discontinuous periodic signal / BVP equation
Paper # NLP94-2
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Committee NLP
Conference Date 1994/5/19(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) Computation of bifurcation sets for non-linear differential equation with a discontinuous external force and its application to BVP equation
Sub Title (in English)
Keyword(1) periodic solution
Keyword(2) non-autonomous system
Keyword(3) bifurcation
Keyword(4) discontinuous periodic signal
Keyword(5) BVP equation
1st Author's Name Osamu Morimoto
1st Author's Affiliation Department of Electrical and Electronic Engineering,Faculty of Engineering,The Univesity of Tokushima()
2nd Author's Name Tetsushi Ueta
2nd Author's Affiliation Department of Information Science and Intelligent Systems,Faculty of Engineering,The University of Tokushima
3rd Author's Name Hiroshi Kawakami
3rd Author's Affiliation Department of Electrical and Electronic Engineering,Faculty of Engineering,The Univesity of Tokushima
Date 1994/5/19
Paper # NLP94-2
Volume (vol) vol.94
Number (no) 44
Page pp.pp.-
#Pages 6
Date of Issue