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 ...
Periodic predator-prey dynamics in constant environments are usually taken as indicative of deterministic limit cycles. It is known, however, that demographic stochasticity in finite populations can ...
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