Frequency-domain Conditions for Global Synchronization of Nonlinear Systems Driven by a Nonperiodic External Signal — Tribute to Gennady Leonov

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Frequency-domain Conditions for Global Synchronization of Nonlinear Systems Driven by a Nonperiodic External Signal — Tribute to Gennady Leonov. / Fradkov, A. ; Nijmeijer, Henk.

In: Lobachevskii Journal of Mathematics, Vol. 42, No. 2, 03.2022, p. 3344-3351.

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

BibTeX

@article{1a3d23c0d8664a398123f68347d8431a,

title = "Frequency-domain Conditions for Global Synchronization of Nonlinear Systems Driven by a Nonperiodic External Signal — Tribute to Gennady Leonov",

abstract = "The problem of synchronization (entrainment, capture) of trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. Frequency-domain conditions of global synchronization (capture) are established extending earlier results (dealing with harmonic excitation) to the case when the external excitation possesses a filtered strongly oscillatory signal (FSOS) property. Particularly, it may be a multiharmonic signal, i.e. the sum of a finite number of harmonics with incommensurable frequencies. Applications of the results for feedforward control of chaos and secure communications are discussed.",

keywords = "synchronization, chaos, quadratic Lyapunov functions, Frequency-domain analysis",

author = "A. Fradkov and Henk Nijmeijer",

note = "Fradkov, A., Nijmeijer, H. Frequency-domain Conditions for Global Synchronization of Nonlinear Systems Driven by a Nonperiodic External Signal—Tribute to Gennady Leonov. Lobachevskii J Math 42, 3344–3351 (2021). https://proxy.library.spbu.ru:2060/10.1134/S1995080222020056",

year = "2022",

month = mar,

language = "English",

volume = "42",

pages = "3344--3351",

journal = "Lobachevskii Journal of Mathematics",

issn = "1995-0802",

publisher = "Pleiades Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - Frequency-domain Conditions for Global Synchronization of Nonlinear Systems Driven by a Nonperiodic External Signal — Tribute to Gennady Leonov

AU - Fradkov, A.

AU - Nijmeijer, Henk

N1 - Fradkov, A., Nijmeijer, H. Frequency-domain Conditions for Global Synchronization of Nonlinear Systems Driven by a Nonperiodic External Signal—Tribute to Gennady Leonov. Lobachevskii J Math 42, 3344–3351 (2021). https://proxy.library.spbu.ru:2060/10.1134/S1995080222020056

PY - 2022/3

Y1 - 2022/3

N2 - The problem of synchronization (entrainment, capture) of trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. Frequency-domain conditions of global synchronization (capture) are established extending earlier results (dealing with harmonic excitation) to the case when the external excitation possesses a filtered strongly oscillatory signal (FSOS) property. Particularly, it may be a multiharmonic signal, i.e. the sum of a finite number of harmonics with incommensurable frequencies. Applications of the results for feedforward control of chaos and secure communications are discussed.

AB - The problem of synchronization (entrainment, capture) of trajectories of nonlinear oscillatory system driven by an external periodic signal is reconsidered. Frequency-domain conditions of global synchronization (capture) are established extending earlier results (dealing with harmonic excitation) to the case when the external excitation possesses a filtered strongly oscillatory signal (FSOS) property. Particularly, it may be a multiharmonic signal, i.e. the sum of a finite number of harmonics with incommensurable frequencies. Applications of the results for feedforward control of chaos and secure communications are discussed.

KW - synchronization

KW - chaos

KW - quadratic Lyapunov functions

KW - Frequency-domain analysis

UR - https://link.springer.com/article/10.1134/S1995080222020056

UR - https://proxy.library.spbu.ru:2096/article/10.1134/S1995080222020056

M3 - Article

VL - 42

SP - 3344

EP - 3351

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 2

ER -

ID: 88677069