Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

A.L. Fradkov; G.A. Leonov; H. Nijmeijer

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

A.L. Fradkov
, G.A. Leonov
, H. Nijmeijer

Dynamics and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed¹.

Original language	English
Title of host publication	European Control Conference, ECC 1999, 31 August - 3 September, Karlsruhe, Germany
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	4626-4630
Number of pages	5
ISBN (Electronic)	978-3-9524173-5-5
Publication status	Published - 24 Mar 2015
Event	5th European Control Conference, ECC 1999 - Karlsruhe, Germany Duration: 31 Aug 1999 → 3 Sept 1999 Conference number: 5

Conference

Conference	5th European Control Conference, ECC 1999
Abbreviated title	ECC99
Country/Territory	Germany
City	Karlsruhe
Period	31/08/99 → 3/09/99

Keywords

global synchronization
nonlinear systems

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title = "Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal",

abstract = "The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.",

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Fradkov, AL, Leonov, GA & Nijmeijer, H 2015, Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal. in European Control Conference, ECC 1999, 31 August - 3 September, Karlsruhe, Germany ., 7100065, Institute of Electrical and Electronics Engineers, Piscataway, pp. 4626-4630, 5th European Control Conference, ECC 1999, Karlsruhe, Germany, 31/08/99.

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal. / Fradkov, A.L.; Leonov, G.A.; Nijmeijer, H.
European Control Conference, ECC 1999, 31 August - 3 September, Karlsruhe, Germany . Piscataway: Institute of Electrical and Electronics Engineers, 2015. p. 4626-4630 7100065.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

AU - Fradkov, A.L.

AU - Leonov, G.A.

AU - Nijmeijer, H.

N1 - Conference code: 5

PY - 2015/3/24

Y1 - 2015/3/24

N2 - The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.

AB - The problem of entrainment (capture, synchronization) of the trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. The frequency-domain conditions of capture (global synchronization)are established extending the previous results (dealing with the harmonic excitation) to the case when external excitation is a multiharmonic signal, i.e. sum of a finite number of harmonics with incommensurate frequencies. Applications of the results in communications field are discussed1.

KW - global synchronization

KW - nonlinear systems

UR - https://www.scopus.com/pages/publications/84930599574

M3 - Conference contribution

AN - SCOPUS:84930599574

SP - 4626

EP - 4630

BT - European Control Conference, ECC 1999, 31 August - 3 September, Karlsruhe, Germany

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 5th European Control Conference, ECC 1999

Y2 - 31 August 1999 through 3 September 1999

ER -

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal

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