A CMOS Coupled Nonlinear Oscillator Array

2003 ◽  
Author(s):  
Joseph D. Neff
Keyword(s):  
Nonlinear Oscillator ◽  
Nonlinear Oscillator Array

Non-Lipschitzian Control Algorithm for Nanoscale

2003 ◽  
Vol 790 ◽  
Author(s):  
Friction V. Protopopescu ◽  
J. Barhen ◽  
Y. Braiman
Keyword(s):  
Nonlinear Oscillator ◽  
Control Algorithm ◽  
System Size ◽  
Basins Of Attraction ◽  
Controlled System ◽  
Control Approach ◽  
Strong Robustness ◽  
Nonlinear Oscillator Array ◽  
Short Times ◽  
Kontorova Model

We present a robust feedback control algorithm and apply it to the nonlinear oscillator array (Frenkel-Kontorova) model of nanoscale friction. The new control approach is based on the concepts of non-Lipschitzian dynamics and global targeting. We show that average quantities of the controlled system can be driven - exactly or approximately - towards desired targets which become additional, linearly stable attractors for the system's dynamics. Extensive numerical simulations show that the basins of attraction of these targets are reached in very short times and the control exhibits very strong robustness. We investigate the efficiency of the control in terms of various parameters (e.g., system size, non-Lipschitzian exponent).

Features of a chaotic attractor in a quasiperiodically driven nonlinear oscillator

2021 ◽  
Vol 31 (7) ◽  
pp. 073118
Author(s):  
V. P. Kruglov ◽  
D. A. Krylosova ◽  
I. R. Sataev ◽  
E. P. Seleznev ◽  
N. V. Stankevich
Keyword(s):  
Chaotic Attractor ◽  
Nonlinear Oscillator
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