Presentation 2000/7/13
Nonlinear Phenomena Satisfying Riccati Equation Appears through Linear Distributed Constant Circuits
Nobuo NAGAI,
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Abstract(in English) It is known that voltage and current waves satisfy a Telegrapher equation. Since the wave equation is presented by removing resistance from Telegrapher equation, two waves satisfy the wave equation. By applying the fact that the ratio of two waves presents wave impedance satisfying Riccati equation of a nonlinear equation, this paper shows the resonance of distributed circuit relates to transient response, and also some properties of linear distributed constant circuits.
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Keyword(in English) Telegrapher equation and wave equation / voltage and current waves / Riccati equation / wave impedance / transient response of distributed circuit
Paper # CAS2000-59,NLP2000-67
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Conference Information
Committee NLP
Conference Date 2000/7/13(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) Nonlinear Phenomena Satisfying Riccati Equation Appears through Linear Distributed Constant Circuits
Sub Title (in English)
Keyword(1) Telegrapher equation and wave equation
Keyword(2) voltage and current waves
Keyword(3) Riccati equation
Keyword(4) wave impedance
Keyword(5) transient response of distributed circuit
1st Author's Name Nobuo NAGAI
1st Author's Affiliation Research Institute for Electronic Science, Hokkaido University()
Date 2000/7/13
Paper # CAS2000-59,NLP2000-67
Volume (vol) vol.100
Number (no) 205
Page pp.pp.-
#Pages 8
Date of Issue