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Hidden attractors in dynamical models of phase-locked loop circuits : Limitations of simulation in MATLAB and SPICE. / Kuznetsov, N. V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 51, 01.10.2017, p. 39-49.

Research output: Contribution to journal › Article › peer-review

Harvard

Kuznetsov, NV, Leonov, GA, Yuldashev, MV & Yuldashev, RV 2017, 'Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE', Communications in Nonlinear Science and Numerical Simulation, vol. 51, pp. 39-49. https://doi.org/10.1016/j.cnsns.2017.03.010

APA

Kuznetsov, N. V., Leonov, G. A., Yuldashev, M. V., & Yuldashev, R. V. (2017). Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE. Communications in Nonlinear Science and Numerical Simulation, 51, 39-49. https://doi.org/10.1016/j.cnsns.2017.03.010

Vancouver

Kuznetsov NV, Leonov GA, Yuldashev MV, Yuldashev RV. Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE. Communications in Nonlinear Science and Numerical Simulation. 2017 Oct 1;51:39-49. https://doi.org/10.1016/j.cnsns.2017.03.010

Author

Kuznetsov, N. V. ; Leonov, G. A. ; Yuldashev, M. V. ; Yuldashev, R. V. / Hidden attractors in dynamical models of phase-locked loop circuits : Limitations of simulation in MATLAB and SPICE. In: Communications in Nonlinear Science and Numerical Simulation. 2017 ; Vol. 51. pp. 39-49.

BibTeX

@article{5403476aac0e4716b457ddc235ec1695,
title = "Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE",
abstract = "During recent years it has been shown that hidden oscillations, whose basin of attraction does not overlap with small neighborhoods of equilibria, may significantly complicate simulation of dynamical models, lead to unreliable results and wrong conclusions, and cause serious damage in drilling systems, aircrafts control systems, electromechanical systems, and other applications. This article provides a survey of various phase-locked loop based circuits (used in satellite navigation systems, optical, and digital communication), where such difficulties take place in MATLAB and SPICE. Considered examples can be used for testing other phase-locked loop based circuits and simulation tools, and motivate the development and application of rigorous analytical methods for the global analysis of phase-locked loop based circuits.",
keywords = "Dynamical system, Hidden attractor, MATLAB, Multistability, Nonlinear control system, Optical Costas loop, Phase-locked loop, Simulation, SPICE, Synchronization, Two-phase PLL",
author = "Kuznetsov, {N. V.} and Leonov, {G. A.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
year = "2017",
month = oct,
day = "1",
doi = "10.1016/j.cnsns.2017.03.010",
language = "English",
volume = "51",
pages = "39--49",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Hidden attractors in dynamical models of phase-locked loop circuits

T2 - Limitations of simulation in MATLAB and SPICE

AU - Kuznetsov, N. V.

AU - Leonov, G. A.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - During recent years it has been shown that hidden oscillations, whose basin of attraction does not overlap with small neighborhoods of equilibria, may significantly complicate simulation of dynamical models, lead to unreliable results and wrong conclusions, and cause serious damage in drilling systems, aircrafts control systems, electromechanical systems, and other applications. This article provides a survey of various phase-locked loop based circuits (used in satellite navigation systems, optical, and digital communication), where such difficulties take place in MATLAB and SPICE. Considered examples can be used for testing other phase-locked loop based circuits and simulation tools, and motivate the development and application of rigorous analytical methods for the global analysis of phase-locked loop based circuits.

AB - During recent years it has been shown that hidden oscillations, whose basin of attraction does not overlap with small neighborhoods of equilibria, may significantly complicate simulation of dynamical models, lead to unreliable results and wrong conclusions, and cause serious damage in drilling systems, aircrafts control systems, electromechanical systems, and other applications. This article provides a survey of various phase-locked loop based circuits (used in satellite navigation systems, optical, and digital communication), where such difficulties take place in MATLAB and SPICE. Considered examples can be used for testing other phase-locked loop based circuits and simulation tools, and motivate the development and application of rigorous analytical methods for the global analysis of phase-locked loop based circuits.

KW - Dynamical system

KW - Hidden attractor

KW - MATLAB

KW - Multistability

KW - Nonlinear control system

KW - Optical Costas loop

KW - Phase-locked loop

KW - Simulation

KW - SPICE

KW - Synchronization

KW - Two-phase PLL

UR - http://www.scopus.com/inward/record.url?scp=85016520472&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2017.03.010

DO - 10.1016/j.cnsns.2017.03.010

M3 - Article

AN - SCOPUS:85016520472

VL - 51

SP - 39

EP - 49

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

ER -

ID: 34827036