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Article Contents

# On subharmonics bifurcation in equations with homogeneous nonlinearities

• The bifurcation of subharmonics for resonant nonautonomous equations of the second order is studied. The set of subharmonics is defined by principal homogeneous parts of the nonlinearities provided these parts are not polynomials. Analogous statements are proved for bifurcations of $p$-periodic orbits of a planar dynamical system. The analysis is based on topological methods and harmonic linearization.
Mathematics Subject Classification: 34C23, 34C35, 54H25, 34H05.

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