Abstract:
Results [1] for stationary problems in the theory of branching for solutions of non-linear equations with the Schmidt spectrum in the linearization and articles [2; 3] applied to the problem of periodic solutions of the Poincare–Andronov–Hopf bifurcation in the spectrum Schmidt.
Keywords:dynamical bifurcation problems, Poincarè–Andronov–Hopf bifurcation, E. Schmidt spectrum, group symmetry, $G$-invariant implicit operator theorem, variational type branching equations in the root-subspaces.
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