Title :
Complex dynamics of double-loop tracking system
Author :
Ponomarenko, V.P.
Author_Institution :
Res. Inst. of Appl. Math. and Cybern., Nizhny Novgorod, Russia
Abstract :
This paper deals with the problem of nonlinear dynamics of a system of coupled phase-locked loop and delay-lock loop interacting through crossed feedback. Stability of regime of synchronization and the behaviour of the system at the boundaries of stability region are studied. Possible scenarios of the evolution of nonsynchronous regimes as a function of system parameters are found. Strong dependence of nonsynchronous regimes on control circuits parameters is found. Index Terms-Double-loop tracking system, chaos, nonlinear dynamics, stability, synchronization.
Keywords :
delay lock loops; nonlinear dynamical systems; phase locked loops; stability; synchronisation; tracking; control circuit parameters; coupled phase locked loop; crossed feedback; delay lock loop; double loop tracking systems dynamics; nonlinear dynamic system; nonsynchronous regimes; stability; stability region boundaries; synchronization; Couplings; Delay; Feedback loop; Filters; Frequency synchronization; Mathematics; Nonlinear dynamical systems; Nonlinear equations; Petroleum; Phase locked loops;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236909