Periodic solutions of Abel differential equations

On the number of solutions of the equation $$\frac{{dx}}{{dt}} = \sum\limits_{j = 0}^n {a_j (t) x^j ,0 \leqq t \leqq 1,} $$ for whichx(0)=x(1)

Alcides Lins Neto · Inventiones mathematicae · 1980 · 148 citations

Natural Sciences, Mathematics, Differential Equations +3

Non-autonomous equations related to polynomial two-dimensional systems

M.A.M. Alwash, N. G. Lloyd · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1987 · 146 citations

Natural Sciences, Mathematics, Complex Systems +10

Dynamics retrospective: great problems, attempts that failed

Steve Smale · Physica D Nonlinear Phenomena · 1991 · 77 citations

Management, Psychology, Group Dynamics +4

Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions

Yu. Ilyashenko · Nonlinearity · 2000 · 55 citations

Natural Sciences, Mathematics, Differential Equations +7

Limit cycles for rigid cubic systems

Armengol Gasull, R. Prohens, Joan Torregrosa · Journal of Mathematical Analysis and Applications · 2005 · 53 citations

Natural Sciences, Physics, Dynamical Systems +10