Stability of square oscillations in a delayed-feedback system.
A semianalytical theory of the stability of odd-harmonic square oscillation modes of a nonlinear delayed-feedback system operating in the period-2 regime is proposed. Stability is found to be ruled by how the system approaches or leaves plateaus. An organization of the stability domains in interrupted bands of values of the delay is revealed.
Nizette
Michel
M
Theoretical Nonlinear Optics, Université Libre de Bruxelles, CodePostale 231, Boulevard du Triomphe, B-1050 Brussels, Belgium.
D000222:Adaptation, Physiological; D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics; D010507:Periodicity; D013997:Time Factors