The interplay of damping and amplitude in the nonlinear pendulum

2020 ◽  
Vol 88 (5) ◽  
pp. 379-384 ◽  
Author(s):  
Peter A. Braza
Keyword(s):  
Nonlinear Pendulum

Chaos and transient chaos in an experimental nonlinear pendulum

2006 ◽  
Vol 294 (3) ◽  
pp. 585-595 ◽  
Author(s):  
Aline Souza de Paula ◽  
Marcelo Amorim Savi ◽  
Francisco Heitor Iunes Pereira-Pinto
Keyword(s):  
Transient Chaos ◽  
Nonlinear Pendulum

scholarly journals A remark on random perturbations of the nonlinear pendulum

1999 ◽  
Vol 9 (3) ◽  
pp. 611-628 ◽  
Author(s):  
Mark Freidlin ◽  
Matthias Weber
Keyword(s):  
Random Perturbations ◽  
Nonlinear Pendulum

Approximate Solutions of Nonlinear Pendulum with Fractional Damping

2021 ◽  
Author(s):  
Sümeyye Sınır ◽  
Bengi Yıldız ◽  
B. Gültekin Sınır
Keyword(s):  
Multiple Scales ◽  
Mathematic Model ◽  
Approximate Solutions ◽  
Damping Term ◽  
Fractional Damping ◽  
Single Degree Of Freedom ◽  
Fractional Oscillator ◽  
Liouville Fractional Derivative ◽  
Nonlinear Pendulum ◽  
Developing Area

Because of many real problems are better characterized using fractional-order models, fractional calculus has recently become an intensively developing area of calculus not only among mathematicians but also among physicists and engineers as well. Fractional oscillator and fractional damped structure have attracted the attention of researchers in the field of mechanical and civil engineering [1-6]. This study is dedicated mainly a pendulum with fractional viscous damping. The mathematic model of pendulum is a cubic nonlinear equation governing the oscillations of systems having a single degree of freedom, via Riemann-Liouville fractional derivative. The method of multiple scales is performed to solve the equation by assigning the nonlinear and damping terms to the ε-order. Finally, the effects of the coefficient of a fractional damping term on the approximate solution are observed.

scholarly journals On Stability of a Nonlinear Pendulum

2003 ◽  
Vol 6 (2) ◽  
pp. 190-195
Author(s):  
E. Kengne
Keyword(s):  
Nonlinear Pendulum
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