On Unstable Saddle-Node Connecting Orbit in a Planer Autonomous System (Special Section of Letters Selected from the 1996 IEICE General Conference)

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概要

• 論文の詳細を見る

• We found a novel connecting orbit in the averaged Duffing-Rayleigh equation. The orbit starts from an unstable manifold of a saddle type equilibrium point and reaches to a stable manifold of a node type equilibrium. Although the connecting orbit is structurally stable in terms of the conventional definition of structural stability, it is structually unstable since a one-dimensional manifold into which the connecting orbit flows is unstable. We can consider the orbit is one of global bifurcations governing the differentiability of the closed orbit.

• 一般社団法人電子情報通信学会の論文
• 1996-11-25

著者

• Ueta Tetsushi

  The Faculty Of Engineering The University Of Tokushima

• Kawakami Hiroshi

  The Faculty Of Engineering The University Of Tokushima

• KAWAKAMI Hiroshi

  the Faculty of Engineering, The University of Tokushima

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• On Unstable Saddle-Node Connecting Orbit in a Planer Autonomous System (Special Section of Letters Selected from the 1996 IEICE General Conference)
• On a Hysteresis Oscillator Including Periodic Thresholds
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