Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields. (English) Zbl 0411.58013


37G99 Local and nonlocal bifurcation theory for dynamical systems
37C75 Stability theory for smooth dynamical systems
34C29 Averaging method for ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
57R25 Vector fields, frame fields in differential topology
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