A basic explanation of homoclinic intersection in the twin-well duffing oscillator

1996 ◽  
pp. 65-92
Author(s):  
Earl Dowell ◽  
Andrew Katz
Keyword(s):  
Duffing Oscillator

Prediction of Solutions of the Duffing System with Tuned Mass Damper

2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich
Keyword(s):  
Dynamical System ◽  
Duffing Oscillator ◽  
Probabilistic Approach ◽  
Nonlinear Dynamical System ◽  
Tuned Mass Damper ◽  
Nonlinear Dynamical ◽  
Duffing System ◽  
Mass Damper ◽  
Basin Stability ◽  
Stability Concept

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.

Suppressing Chaos in a Nonideal Double-Well Oscillator Using an Based Electromechanical Damped Device

2014 ◽  
Vol 706 ◽  
pp. 25-34 ◽  
Author(s):  
G. Füsun Alişverişçi ◽  
Hüseyin Bayiroğlu ◽  
José Manoel Balthazar ◽  
Jorge Luiz Palacios Felix
Keyword(s):  
Numerical Simulations ◽  
Chaotic Dynamics ◽  
Duffing Oscillator ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Electrical System ◽  
Chaotic Vibration ◽  
System A ◽  
Ideal System ◽  
Double Well Potential

In this paper, we analyzed chaotic dynamics of an electromechanical damped Duffing oscillator coupled to a rotor. The electromechanical damped device or electromechanical vibration absorber consists of an electrical system coupled magnetically to a mechanical structure (represented by the Duffing oscillator), and that works by transferring the vibration energy of the mechanical system to the electrical system. A Duffing oscillator with double-well potential is considered. Numerical simulations results are presented to demonstrate the effectiveness of the electromechanical vibration absorber. Lyapunov exponents are numerically calculated to prove the occurrence of a chaotic vibration in the non-ideal system and the suppressing of chaotic vibration in the system using the electromechanical damped device.

scholarly journals Chaos in the quantum Duffing oscillator in the semiclassical regime under parametrized dissipation

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
Andrew D. Maris ◽  
Bibek Pokharel ◽  
Sharan Ganjam Seshachallam ◽  
Moses Z. R. Misplon ◽  
Arjendu K. Pattanayak
Keyword(s):  
Duffing Oscillator ◽  
Semiclassical Regime

scholarly journals Detection of coupling in Duffing oscillator systems

2021 ◽  
Vol 31 (6) ◽  
pp. 063130
Author(s):  
Martin Brešar ◽  
Pavle Boškoski ◽  
Martin Horvat
Keyword(s):  
Duffing Oscillator

Weak Signal Frequency Detection Method Based on Generalized Duffing Oscillator

2011 ◽  
Vol 28 (4) ◽  
pp. 040502 ◽  
Author(s):  
Si-Hong Shi ◽  
Yong Yuan ◽  
Hui-Qi Wang ◽  
Mao-Kang Luo
Keyword(s):  
Detection Method ◽  
Duffing Oscillator ◽  
Signal Frequency ◽  
Weak Signal ◽  
Frequency Detection
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