FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 3, PAGES 1047-1061

B. Ya. Lokshin

V. A. Samsonov

Abstract

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```
For the aerodynamical pendulum being in a stationary flow, the heuristic
quasistationary mathematical model of flow action is constructed. This
model is based as well on the concept of the instantaneous pressure
center and angle of attack as on the idea of aid masses. The obtained
model is a system of differential and transcendental equations.
The algorithm for the solution of the latter ones and the principle for
the choice of solution branch are proposed. By using analytical and
calculating methods the phase portraits of this system are constructed
for all values of the holder length. The local and nonlocal bifurcations
are discovered and described.
```

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Last modified: December 15, 1998