Advanced Differential Equations and Dynamical Systems
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This cluster of papers focuses on the study of bifurcations in planar polynomial systems, particularly emphasizing piecewise linear structures, limit cycles, Hopf bifurcations, discontinuous systems, nilpotent singularities, Darboux integrability, and Abelian integrals.
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Research vocabulary
limit cycles; bifurcation theory; normal forms; polynomial vector fields; planar dynamical systems; homoclinic orbits; planar vector fields; bifurcation of limit cycles; qualitative theory of differential equations; polynomial differential systems; piecewise-smooth systems; Liénard systems; central configurations; homoclinic bifurcation; quadratic systems; center manifold; center-focus problem; planar polynomial differential systems; Liénard equation; Melnikov function; codimension-two bifurcation; planar differential equations; stability of periodic solutions; discontinuous dynamical systems; planar polynomial vector fields
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Morton address: 38351240601970737 · morton4x16-v1
Coordinates: (3, 26, 2608, 12396). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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