Intricate routes to chaos in the Mackey–Glass delayed feedback system
نویسندگان
چکیده
منابع مشابه
Delayed feedback control of chaos.
Time-delayed feedback control is well known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. The method is based on applying feedback perturbation proportional to the deviation of the current state of the system from its state one period in the past, so that the control signal vanishes when the stabilization of the target orbit is attained. A brief ...
متن کاملDegenerate routes to chaos.
We present examples of simple dynamical systems containing alternative routes to chaos which are degenerate with a period-doubling route. The existence of degenerate routes implies the possibility of having more entangled dynamical behaviors hidden in observations based on a single-variable time series, possibly requiring, therefore, special care to discriminate them. A model system allowing th...
متن کاملDelayed feedback control of chaos: bifurcation analysis.
We study the effect of time delayed feedback control in the form proposed by Pyragas on deterministic chaos in the Rössler system. We reveal the general bifurcation diagram in the parameter plane of time delay tau and feedback strength K which allows one to explain the phenomena that have been discovered in some previous works. We show that the bifurcation diagram has essentially a multileaf st...
متن کاملPersistence of chaos in a time-delayed-feedback controlled Duffing system.
This paper concerns global phase structures of a time-delayed-feedback controlled two-well Duffing system. The remains of a global stretch and fold structure along an unstable manifold, which develops from an unstable fixed point in function space, reveals that the global chaotic dynamics is inherited from the original system by the controlled system. The remains of the original chaotic dynamic...
متن کاملRoutes to chaos, universality and glass formation
We review recent results obtained for the dynamics of incipient chaos. These results suggest a common picture underlying the three universal routes to chaos displayed by the prototypical logistic and circle maps. Namely, the period doubling, intermittency, and quasiperiodicity routes. In these situations the dynamical behavior is exactly describable through infinite families of Tsallis’ q-expon...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 2012
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2012.05.022