High-Dimensional Nonlinear Systems: Circumventing the Curse of Dimensionality via a Reduced-Order Formulation
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Publisher
Springer Nature Switzerland
Link
https://link.springer.com/content/pdf/10.1007/978-3-031-57863-2_7
Reference12 articles.
1. Chen, N., and Majda, A. J. (2017). Beating the curse of dimension with accurate statistics for the Fokker–Planck equation in complex turbulent systems. Proceedings of the National Academy of Sciences, 114, 12864–12869.
2. Eom, K., Park, H. S., Yoon, D. S., and Kwon, T. (2011). Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles. Physics Reports, 503, 115–163.
3. Gelfand, I. M., and Fomin, S. V. (1963). Calculus of variations. Prentice Hall.
4. Katsidoniotaki, M. I., Petromichelakis, I., and Kougioumtzoglou, I. A. (2023). Non-linear stochastic dynamics of an array of coupled micromechanical oscillators. International Journal of Mechanical System Dynamics, 3, 3–11.
5. Lifshitz, R., and Cross, M. C. (2003). Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays. Physical Review B, 67, 134302.
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