Advanced Differential Equations and Dynamical Systems

Advanced Differential Equations and Dynamical Systems is a research topic within Geometry and Topology. Science Explorer counts 24k research works in it since 1950. 10.2% of them reached the world's top 10% most cited for their field and year.

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.

• Bifurcations
• Planar Systems
• Piecewise Linear
• Limit Cycles
• Polynomial Vector Fields
• Hopf Bifurcation
• Discontinuous Systems
• Nilpotent Singularity
• Darboux Integrability
• Abelian Integrals