Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals

Hoa Dinh Nguyen, Shinji Hara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this paper, we present a systematic approach based on harmonic balance method to study the induced oscillations in a class of Goodwin oscillator networks forced by external periodic signals. Analytical expressions on the dependence of the phases and amplitudes of network oscillations to those of forcing inputs are revealed. Based on those expressions, we further show that under some specific conditions, the amplitude and phase shift of synchronized oscillations in networks of Goodwin oscillators monotonically depend on the amplitude of exciting inputs. The theoretical results are then illustrated through some examples.

Original languageEnglish
Title of host publication2013 European Control Conference, ECC 2013
Pages4275-4280
Number of pages6
Publication statusPublished - 2013
Externally publishedYes
Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
Duration: Jul 17 2013Jul 19 2013

Other

Other2013 12th European Control Conference, ECC 2013
CountrySwitzerland
CityZurich
Period7/17/137/19/13

Fingerprint

Phase shift
Synchronization

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Nguyen, H. D., & Hara, S. (2013). Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals. In 2013 European Control Conference, ECC 2013 (pp. 4275-4280). [6669437]

Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals. / Nguyen, Hoa Dinh; Hara, Shinji.

2013 European Control Conference, ECC 2013. 2013. p. 4275-4280 6669437.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nguyen, HD & Hara, S 2013, Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals. in 2013 European Control Conference, ECC 2013., 6669437, pp. 4275-4280, 2013 12th European Control Conference, ECC 2013, Zurich, Switzerland, 7/17/13.
Nguyen HD, Hara S. Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals. In 2013 European Control Conference, ECC 2013. 2013. p. 4275-4280. 6669437
Nguyen, Hoa Dinh ; Hara, Shinji. / Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals. 2013 European Control Conference, ECC 2013. 2013. pp. 4275-4280
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