STABLE QUASI-PERIODIC AND PERIODIC REGIMES INITIATED BY THE SHORT PULSES IN SYSTEM WITH UNSTABLE LIMIT CYCLE


Cite this article as:

Kuznetsov A. P., Turukina L. V. STABLE QUASI-PERIODIC AND PERIODIC REGIMES INITIATED BY THE SHORT PULSES IN SYSTEM WITH UNSTABLE LIMIT CYCLE. Izvestiya VUZ, Applied Nonlinear Dynamics, 2006, vol. 14, iss. 1, pp. 72-81 DOI: 10.18500/0869-6632-2006-14-1-72-81


The dynamics of a system with unstable limit cycle under the periodic sequence of delta-pulses 

is considered. It is shown, that stable quasi-periodic regimes and phase lock regimes 

(synchronization) are observed within a narrow range of parameters of the external action in the 

system with cubic nonlinearity. Influence of main system’s parameters to the stable quasi-

periodic regimes and phase lock regimes is investigated.

Key words: 
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DOI: 
10.18500/0869-6632-2006-14-1-72-81
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BibTeX

@article{Кузнецов-IzvVUZ_AND-14-1-72,
author = {A. P. Kuznetsov and L. V. Turukina},
title = {STABLE QUASI-PERIODIC AND PERIODIC REGIMES INITIATED BY THE SHORT PULSES IN SYSTEM WITH UNSTABLE LIMIT CYCLE},
year = {2006},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {14},number = {1},
url = {http://andjournal.sgu.ru/en/articles/stable-quasi-periodic-and-periodic-regimes-initiated-by-the-short-pulses-in-system-with},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2006-14-1-72-81},pages = {72--81},issn = {0869-6632},
keywords = {-},
abstract = {The dynamics of a system with unstable limit cycle under the periodic sequence of delta-pulses  is considered. It is shown, that stable quasi-periodic regimes and phase lock regimes  (synchronization) are observed within a narrow range of parameters of the external action in the  system with cubic nonlinearity. Influence of main system’s parameters to the stable quasi- periodic regimes and phase lock regimes is investigated. }}