1. An asymmetric model two-dimensional oscillator.
- Author
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Rath, B, Erturk, VS, Asad, Jihad, Mallick, P, and Jarrar, Rabab
- Subjects
- *
STABILITY of nonlinear systems , *TWO-dimensional models , *NONLINEAR equations , *NONLINEAR systems , *TAYLOR'S series - Abstract
We present a novel 2D oscillator with an asymmetric design and investigate its stable vibration utilizing the Ms-DTM method. Initially, we obtain the equations of motion for the proposed system. Subsequently, by employing Taylor expansion of s i n h z and c o s h z , the derived nonlinear equations are transformed into linear ones, which we solve analytically using the eigenvalues-eigenfunctions technique. Additionally, we solve the obtained nonlinear system using the Ms-DTM method. Lastly, we examine the stability of the nonlinear system by visualizing the closed nature of the phase portrait. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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