scholarly journals Discrete Vortices in Systems of Coupled Nonlinear Oscillators: Numerical Results for an Electric Model

JETP Letters ◽  
2020 ◽  
Vol 111 (7) ◽  
pp. 383-388 ◽  
Author(s):  
V. P. Ruban
Keyword(s):  
Nonlinear Oscillators ◽  
Numerical Results ◽  
Electric Model ◽  
Coupled Nonlinear Oscillators

scholarly journals Experimental Observation of the Amplitude Death Effect in Two Coupled Nonlinear Oscillators

2000 ◽  
Vol 84 (23) ◽  
pp. 5312-5315 ◽  
Author(s):  
R. Herrero ◽  
M. Figueras ◽  
J. Rius ◽  
F. Pi ◽  
G. Orriols
Keyword(s):  
Experimental Observation ◽  
Nonlinear Oscillators ◽  
Amplitude Death ◽  
Coupled Nonlinear Oscillators

Brownian Motion of Coupled Nonlinear Oscillators: Thermalized Solitons and Nonlinear Response to External Forces

1978 ◽  
Vol 40 (4) ◽  
pp. 206-210 ◽  
Author(s):  
S. E. Trullinger ◽  
M. D. Miller ◽  
R. A. Guyer ◽  
A. R. Bishop ◽  
F. Palmer ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Nonlinear Response ◽  
Nonlinear Oscillators ◽  
Coupled Nonlinear Oscillators ◽  
External Forces

scholarly journals Hamiltonian Approach to Multiple Coupled Nonlinear Oscillators

2012 ◽  
Vol 121 (1) ◽  
pp. 47-49 ◽  
Author(s):  
S. Durmaz ◽  
S. Altay Demirbag ◽  
M.O. Kaya
Keyword(s):  
Nonlinear Oscillators ◽  
Hamiltonian Approach ◽  
Coupled Nonlinear Oscillators

scholarly journals He's frequency–amplitude formulation for nonlinear oscillators using Jacobi elliptic functions

2020 ◽  
Vol 39 (4) ◽  
pp. 1216-1223 ◽  
Author(s):  
Alex Elías-Zúñiga ◽  
Luis Manuel Palacios-Pineda ◽  
Isaac H Jiménez-Cedeño ◽  
Oscar Martínez-Romero ◽  
Daniel Olvera Trejo
Keyword(s):  
Elliptic Functions ◽  
Nonlinear Oscillators ◽  
Numerical Results ◽  
Jacobi Elliptic Functions ◽  
Analytical Expression ◽  
Analytical Frequency

In this work, the Duffing’s type analytical frequency–amplitude relationship for nonlinear oscillators is derived by using Hés formulation and Jacobi elliptic functions. Comparison of the numerical results obtained from the derived analytical expression using Jacobi elliptic functions with respect to the exact ones is performed by considering weak and strong Duffing’s nonlinear oscillators.

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