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Numerical investigations of the constant and periodic motions of the human vocal cords including stability and bifurcation phenomena. (English) Zbl 0694.34032

Summary: This paper presents a numerical approach to the systematic study of the behaviour of systems governed by autonomous nonlinear differential equations, such as the fifth-order system of equations of motion of the human vocal cords. Motions are traced, by changing the parameters, from steady state via Hopf bifurcations to periodic orbits. In certain intervals the character of the oscillations changes drastically when the parameters are varied slightly.

MSC:

34C25 Periodic solutions to ordinary differential equations
65L99 Numerical methods for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
34D20 Stability of solutions to ordinary differential equations
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