技術者教育のための電気電子工学実験「負性抵抗発振器の特性」の教材の更新(7):結合Bonhoeffer-Van der Pol 方程式の数値シミュレーション(2)

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The education material updated here is concerned with "Negative Resistance Oscillator" with tunnel diode andprovides students with the guide lines for Nonlinear Dynamical System and Chaos Engineering and with problems toobtain problem-solving techniques and skills and to study new items of nonlinear electric and electronic circuits, whichyield chaotic behavior or limit cycles. Bonhoeffer-van der Pol (BVP) equation (or FitzHugh-Nagumo equation) derivedfrom the circuit used in experiments includes van der Pol (VP) equation. The VP equation has the frequency estimated bya linear theory and the amplitude as a size of limit cycle. When two VP equations are coupled each other, the frequencymodulation may occur depending on a coupling parameter and near-resonance takes place when the parameter is small.Such frequency modulation is also observed in two BVP equations coupled with a resister.
2013-01-31