Abel differential equations form a notable class of non-linear ordinary differential equations characterised by their polynomial non-linearities. These equations have been instrumental in exploring ...

A power series expansion in the damping parameter ε of the limit cycle U(t; ε) of the free van der Pol equation Ü + ε(U2-1) U̇ + U = 0 is constructed and analyzed. Coefficients in the expansion are ...

This paper presents a survey of results on the bifurcation of limit cycles from centers and separatrix cycles of perturbed planar analytic systems and contributes some new results on the bifurcation ...

AI's next phase faces economic, physical, and moral limits. Capital discipline, infrastructure bottlenecks, and human ...

The Federal Election Commission (FEC) on Thursday raised political donation limits to account for historic inflation, boosting the potential influence of wealthy donors in the 2024 election cycle. A ...