Gheorghe Tigan, Sorin Lugojan, Loredana Ciurdariu
Abstract
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Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the nondegenerate Chenciner bifurcation can be described by two bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.
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Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the nondegenerate Chenciner bifurcation can be described by two bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.
Key concepts: Bifurcation diagram, Bifurcation, Saddle-node bifurcation, Transcritical bifurcation, Degenerate energy levels, Bogdanov–Takens bifurcation, Biological applications of bifurcation theory, Pitchfork bifurcation