TY - GEN
T1 - Synchronization behaviors in Goodwin oscillator networks driven by external periodic signals
AU - Nguyen, Dinh Hoa
AU - Hara, Shinji
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
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U2 - 10.23919/ecc.2013.6669437
DO - 10.23919/ecc.2013.6669437
M3 - Conference contribution
AN - SCOPUS:84893301532
SN - 9783033039629
T3 - 2013 European Control Conference, ECC 2013
SP - 4275
EP - 4280
BT - 2013 European Control Conference, ECC 2013
PB - IEEE Computer Society
T2 - 2013 12th European Control Conference, ECC 2013
Y2 - 17 July 2013 through 19 July 2013
ER -