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- W74881979 abstract "This chapter discusses the interesting and complicated topics of existence and stability of the periodic solutions of autonomous and of periodic systems of ordinary differential equations of general order n. The existence and nonexistence of periodic solutions are forced linear periodic systems of equations. In the linear system (LS), the perturbed system is not hard to analyze. However, when linear system has nontrivial solutions, the analysis of the behavior of solutions become extremely complex. In the perturbations of nonlinear autonomous systems, the equation always has at least one Floquet multiplier that is equal to one. A periodic solution varies as a parameter varies. In contrast to this, bifurcation occurs when periodic solutions are suddenly created (or destroyed) as the parameter varies." @default.
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- W74881979 date "1982-01-01" @default.
- W74881979 modified "2023-10-16" @default.
- W74881979 title "PERIODIC SOLUTIONS OF SYSTEMS" @default.
- W74881979 doi "https://doi.org/10.1016/b978-0-12-497280-3.50013-x" @default.
- W74881979 hasPublicationYear "1982" @default.
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