ASD Technical Report, Numéro 61Aeronautical Systems Division, Air Force Systems Command, United States Air Force, 1961 |
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Expressions et termes fréquents
A. N. KRYLOV'S METHOD A₂ amplitude analytic function approximate solutions assume the form assumption b₂ Bulgakov's First Method Bulgakov's second method C₂ characteristic equation coefficients control problems coordinates cospt defined by equations derived equal to zero Equation 4.1 equations 3.20 equations AII.17 example expression Figure 5b Gostekhizdat h₂ initial conditions inserted investigated J(ap K₁ K₂ Krylov and Bogoliubov's Kuß Kyß LIAPOUNOV'S REFINEMENTS Cont'd limit cycle linear differential equations linear system METHOD AND LIAPOUNOV'S Method Cont'd method of small non-linear control non-linear differential equation non-linear function non-linear system obtained parabola periodic functions periodic solution permanent oscillations Poincaré POINCARE'S METHOD principles quantities region right side second equation SECTION AII Cont'd secular terms set equal shown in Figure side of Equation simplified system small parameters solution of Equation straight line tion To² unknown unstable variables WADD TR x₁ X₂ zero-th μ²