Bifurcation Set of a Modelled Parallel Blower System (Special Section on the 5th Karuizawa Workshop on Circuits and Systems)

スポンサーリンク

概要

• 論文の詳細を見る

• Global dynamic behavior particularly the bifurcation of periodic orbits of a parallel blower system is studied using a piecewise linear model and the one-dimensional map defined by the Poincare map. First several analytical tools are presented to numerically study the bifurcation process particularly the bifurcation point of the fixed point of the Poincare map. Using two bifurcation diagrams and a bifurcation set, it is shown how periodic orbits bifurcate and leads to chaotic state. It is also shown that the homoclinic bifurcations occur in some parameter regions and that the Li & Yorke conditions of the chaotic state hold in the parameter region which is included in the one where the homoclinic bifurcation occurs. Together with the above, the stable and unstable manifolds of a saddle closed orbit is illustrated and the existence of the homoclinic points is shown.

• 社団法人電子情報通信学会の論文
• 1993-03-25

著者

• Uwaba Tomoyuki

  The Oarai Engineering Center Power Reactor And Nuclear Fuel Development Corporation

• Nakano Hideo

  Department Of Mechanical Engineering Shonan Institute Of Technology

• Okazaki Hidetoshi

  The Graduate School Of Bioapplication And Systems Engineering Tokyo University Of Agriculture And Te

• Okazaki Hideaki

  Gifu National College of Technology

• Nakano Hideo

  the Department of Mechanical Engineering, Shonan Institute of Technology

• Kawase Takehiko

  the School of Science and Engineering, Waseda University

• Okazaki H

  Tokyo Univ. Agriculture And Technol. Koganei‐shi Jpn

• Kawase T

  Waseda Univ. Tokyo Jpn

関連論文

• Special Section of Selected Papers from the 9th Karuizawa Workshop on Circuits and Systems
• Bifurcation Set of a Modelled Parallel Blower System (Special Section on the 5th Karuizawa Workshop on Circuits and Systems)
• Global Dynamic Behaviour of a Parallel Blower System
• THE PARAMETER SPACE OF A PARALLEL BLOWER SYSTEM(Dynamical Systems and Applications)
• Rigorous Verification of Poincare Map Generated by a Continuous Piece-Wise Linear Vector Field and Its Application(Selected Papers from the 17th Workshop on Circuits and Systems in Karuizawa)
• A Generation Mechanism of Canards in a Piecewise Linear System (Special Section of Selected Papers from the 9th Karuizawa Workshop on Circuits and Systems)
• Edge-Based Image Synthesis Model and Its Synthesis Function Design by the Wavelet Transform

スポンサーリンク