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Physical Sciences → Mathematics → Geometry and Topology

Advanced Differential Equations and Dynamical Systems

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.

53.9K works worldwide444.8K citations
BifurcationsPlanar SystemsPiecewise LinearLimit CyclesPolynomial Vector FieldsHopf BifurcationDiscontinuous SystemsNilpotent SingularityDarboux IntegrabilityAbelian Integrals

Journals publishing in this area

1Proceedings of the American Mathematical Society cover
Proceedings of the American Mathematical Society
ISSN 0002-99392,420 articles in this topic
170h-index
2Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X1,522 articles in this topic
235h-index
3Transactions of the American Mathematical Society cover
Transactions of the American Mathematical Society
ISSN 0002-99471,384 articles in this topic
264h-index
4Annals of Mathematics cover
Annals of Mathematics
ISSN 0003-486X324 articles in this topic
326h-index