Dynamical mechanism of intrinsic localized modes in microelectromechanical oscillator arrays

2009 ◽  
Vol 19 (1) ◽  
pp. 013127 ◽  
Author(s):  
Qingfei Chen ◽  
Liang Huang ◽  
Ying-Cheng Lai ◽  
David Dietz
Keyword(s):  
Localized Modes ◽  
Dynamical Mechanism ◽  
Intrinsic Localized Modes ◽  
Oscillator Arrays

Intrinsic Localized Modes of Harmonic Oscillations in Nonlinear Oscillator Arrays

2013 ◽  
Vol 8 (4) ◽  
Author(s):  
Takashi Ikeda ◽  
Yuji Harata ◽  
Keisuke Nishimura
Keyword(s):  
Frequency Response ◽  
Initial Conditions ◽  
Excitation Frequency ◽  
Basins Of Attraction ◽  
Localized Modes ◽  
Response Curves ◽  
Harmonic Oscillations ◽  
Intrinsic Localized Modes ◽  
Mdof Systems ◽  
Oscillator Arrays

Intrinsic localized modes (ILMs) are investigated in an array with N Duffing oscillators that are weakly coupled with each other when each oscillator is subjected to sinusoidal excitation. The purpose of this study is to investigate the behavior of ILMs in nonlinear multi-degree-of-freedom (MDOF) systems. In the theoretical analysis, van der Pol's method is employed to determine the expressions for the frequency response curves for fundamental harmonic oscillations. In the numerical calculations, the frequency response curves are shown for N = 2 and 3 and compared with the results of the numerical simulations. Basins of attraction are shown for a two-oscillator array with hard-type nonlinearities to examine the possibility of appearance of ILMs when an oscillator is disturbed. The influences of the connecting springs for both hard- and soft-type nonlinearities on the appearance of the ILMs are examined. Increasing the values of the connecting spring constants may cause Hopf bifurcation followed by amplitude modulated motion (AMM) including chaotic vibrations. The influence of the imperfection of an oscillator is also investigated. Bifurcation sets are calculated to show the influence of the system parameters on the excitation frequency range of ILMs. Furthermore, time histories are shown for the case of N = 10, and many patterns of ILMs may appear depending on the initial conditions.

scholarly journals Selective excitations of intrinsic localized modes of atomic scales in carbon nanotubes

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Y. Kinoshita ◽  
Y. Yamayose ◽  
Y. Doi ◽  
A. Nakatani ◽  
T. Kitamura
Keyword(s):  
Carbon Nanotubes ◽  
Localized Modes ◽  
Intrinsic Localized Modes

scholarly journals Multiple states of intrinsic localized modes

1998 ◽  
Vol 58 (9) ◽  
pp. 5423-5428 ◽  
Author(s):  
Yuri S. Kivshar ◽  
Alan R. Champneys ◽  
David Cai ◽  
Alan R. Bishop
Keyword(s):  
Localized Modes ◽  
Intrinsic Localized Modes
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