Multistability in a system of two coupled oscillators with delayed feedback
The author considers an infinite-dimensional dynamical system associated to two weakly coupled oscillators with nonlinear compactly supported delayed feedback. In fact, he studies a family of such systems depending on a large parameter. In order to study the existence and stability of relaxation periodic orbits of this dynamical system, the author is able to construct a finite dimensional mapping and to prove that the initial problem is equivalent to study the dynamics of this mapping. Asymptotic formulas of these relaxation periodic solutions were constructed.
scientific article; zbMATH DE number 6973901