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On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions. (English) Zbl 0536.93041

MSC:
93D10 Popov-type stability of feedback systems
93C10 Nonlinear systems in control theory
34C29 Averaging method for ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
34D99 Stability theory for ordinary differential equations
37C75 Stability theory for smooth dynamical systems
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
70K05 Phase plane analysis, limit cycles for nonlinear problems in mechanics
70K20 Stability for nonlinear problems in mechanics
93C15 Control/observation systems governed by ordinary differential equations
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