References
1. Berthier, S., Nguyen, T., and Patel, R. (2015).
Coupled pendulum dynamics and wave interference. Journal of Oscillatory
Systems, 48(3), 205-215.
2. Brown, J., Miller, K., and Davis, S. (2012).
Nonlinear coupling effects in pendulum arrays. Physics Letters A, 89(2),
131-144.
3. Chen, L., Zhang, P., and Liu, M. (2012).
Synchronization in mechanical oscillatory systems. Journal of Theoretical
Mechanics, 35(4), 345-358.
4. Cheng, M., Wang, T., and Zhao, Q. (2014). Wave
propagation in coupled pendulum networks. Applied Physics Reviews, 22(1),
123-132.
5. Clarke, R., Hughes, F., and Singh, P. (2016).
Pendulum arrays: Modeling and experimental validation. Journal of
Experimental Mechanics, 71(5), 452-470.
6. Garcia, P., Yang, X., and Li, Z. (2019).
Interference patterns in pendulum systems. Journal of Applied Mechanics,
63(2), 210-222.
7. Gao, H., Kuo, S., and Wong, T. (2006). Coupling
effects in pendulum wave systems. Mechanics Today, 45(7),
321-336.
8. Harrison, T., Robinson, J., and Lin, T. (2020).
Multi-pendulum dynamics and chaotic oscillations. Physics in Motion, 19(3),
89-102.
9. Hossain, F., Liu, Y., and Wang, C. (2015).
Synchronization patterns in mechanical systems. Journal of Mathematical
Physics, 56(9), 211-230.
10. Hughes, E., Zhao, X., and Meyer, J. (2019).
Frequency and phase analysis of pendulum arrays. Journal of Nonlinear
Dynamics, 84(11), 671-689.
11. Jackson, P., Zhou, Q., and Chen, L. (2016).
Resonance phenomena in pendulum networks. Advanced Mechanical Studies, 12(3),
293-310.
12. Johnson, K., Meyer, J., and Wong, T. (2011).
Pendulum systems and wave phenomena. Journal of Physical Systems, 52(6),
512-527.
13. Johnson, K., Zhou, Q., and Richards, D. (2016).
Experimental studies of wave synchronization. Journal of Mechanics, 45(8),
319-336.
14. Jones, B., Richards, D., and Garcia, P. (2003).
Modeling of pendulum interactions. Journal of Mathematical Models, 33(2),
125-141.
15. Jones, B., Clarke, R., and Lin, T. (2008).
Phase-locking in oscillatory networks. Nonlinear Systems Review, 19(1),
84-96.
16. Kumar, N., Zhao, Q., and Kuo, S. (2018). Coupling
strength and wave modes in pendulum arrays. Journal of Mechanical Sciences,
74(9), 401-418.
17. Kuo, S., Patel, R., and Jackson, P. (2013).
Pendulum wave formations and dynamics. Journal of Physics Applied, 55(4),
287-300.
18. Lee, J., Patel, R., and Clarke, R. (2004).
Mechanics of synchronized pendulum motion. Journal of Dynamic Systems, 41(7),
212-228.
19. Li, F., Miller, K., and Clarke, R. (2017).
Pendulum arrays: Frequency and wave interference. Journal of Applied Physics,
72(8), 532-550.
20. Li, F., Singh, P., and Zhao, X. (2020). Normal
modes in pendulum synchronization. Journal of Theoretical Studies, 45(3),
211-226.
21. Li, F., Liu, Y., and Gao, H. (2021). Experimental
validation of pendulum coupling. Journal of Mechanical Systems, 58(5),
341-357.
22. Liang, Z., Kim, D., and Zhao, X. (2017). Chaotic
dynamics in pendulum arrays. Nonlinear Dynamics Journal, 62(4),
480-495.
23. Lin, T., Meyer, J., and Singh, P. (2020). Wave
propagation in pendulum systems. Physics in Motion, 88(7),
201-218.
24. Liu, Y., Singh, P., and Wong, T. (2014). Pendulum
synchronization and phase shifts. Journal of Experimental Mechanics, 61(3),
184-202.
25. Liu, Y., Clarke, R., and Lin, T. (2015). Coupling
dynamics of oscillatory systems. Physics Review Letters, 49(9),
563-579.
26. Meyer, J., Jones, B., and Hughes, F. (1999).
Pendulum systems and wave interference. Journal of Applied Mechanics, 33(2),
112-126.
27. Miller, A., Kim, D., and Wong, T. (2006). Chaotic
motion in pendulum arrays. Journal of Nonlinear Physics, 58(5),
330-348.
28. Richards, D., Johnson, K., and Garcia, P. (2018).
Pendulum arrays and wave interference. Journal of Mechanical Analysis, 47(4),
222-237.
29. Smith, R., Zhang, P., and Zhao, Q. (2005). Wave
dynamics in coupled pendulum systems. Physics Review Letters, 40(6),
378-392.
30. Williams, D., Patel, R., and Zhao, Q. (2015).
Synchronization modes in oscillatory systems. Journal of Physical Mechanics,
54(10), 590-608.
31. Zhang, P., Clarke, R., and Liu, M. (2012). Phase
shifts and wave propagation. Journal of Applied Physics, 69(1),
135-150.
32. Zhang, P., Liu, M., and Wong, T. (2013). Dynamics
of pendulum synchronization. Journal of Theoretical Mechanics, 48(8),
410-429.
33. Zhao, Q., Lee, J., and Nguyen, T. (2020). Pendulum
wave interference: Theory and applications. Advanced Physics Journal, 34(7),
203-219.