scholarly journals Ordinal patterns in the Duffing oscillator: Analyzing powers of characterization

2021 ◽  
Vol 31 (2) ◽  
pp. 023104
Author(s):  
Ivan Gunther ◽  
Arjendu K. Pattanayak ◽  
Andrés Aragoneses
Entropy ◽  
2018 ◽  
Vol 20 (1) ◽  
pp. 40 ◽  
Author(s):  
Max Trostel ◽  
Moses Misplon ◽  
Andrés Aragoneses ◽  
Arjendu Pattanayak

2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich

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.


2018 ◽  
Vol 28 (12) ◽  
pp. 123111 ◽  
Author(s):  
J. H. Martínez ◽  
J. L. Herrera-Diestra ◽  
M. Chavez

2014 ◽  
Vol 706 ◽  
pp. 25-34 ◽  
Author(s):  
G. Füsun Alişverişçi ◽  
Hüseyin Bayiroğlu ◽  
José Manoel Balthazar ◽  
Jorge Luiz Palacios Felix

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.


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

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

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