Periodic solutions to a class of autonomous systems. (English) Zbl 0944.34035
Martelli, Mario (ed.) et al., Differential equations and applications to biology and to industry. Proceedings of the Claremont international conference dedicated to the memory of Stavros Busenberg (1941-1993), Claremont, CA, USA, June 1-4, 1994. Singapore: World Scientific. 299-308 (1996).
Summary: A class of autonomous systems that possess an invariant affine manifold is considered. Such systems have as concrete examples many biologically important systems. Sufficient conditions for the orbital stability of periodic solutions and for the nonexistence of simple closed invariant curves on the invariant manifold are derived.
|34C25||Periodic solutions of ODE|
|34D20||Stability of ODE|
|34D30||Structural stability of ODE and analogous concepts|