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A new approach to solving isomorphism problems of classical dynamical systems using algebraic structures

   | 05 ago 2024
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Anzt, H., Cojean, T., Flegar, G., Göbel, F., Grützmacher, T., Nayak, P., ... & Quintana-Ortí, E. S. (2022). Ginkgo: A modern linear operator algebra framework for high performance computing. ACM Transactions on Mathematical Software (TOMS), 48(1), 1-33. Search in Google Scholar

Beem, C., & Rastelli, L. (2018). Vertex operator algebras, Higgs branches, and modular differential equations. Journal of High Energy Physics, 2018(8), 1-72. Search in Google Scholar

Creutzig, T., Gainutdinov, A. M., & Runkel, I. (2020). A quasi-Hopf algebra for the triplet vertex operator algebra. Communications in Contemporary Mathematics, 22(03), 1950024. Search in Google Scholar

Qian, E., Kramer, B., Peherstorfer, B., & Willcox, K. (2020). Lift & learn: Physics-informed machine learning for large-scale nonlinear dynamical systems. Physica D: Nonlinear Phenomena, 406, 132401. Search in Google Scholar

Brunton, S. L., Budišić, M., Kaiser, E., & Kutz, J. N. (2021). Modern Koopman theory for dynamical systems. arxiv preprint arxiv:2102.12086. Search in Google Scholar

Quaranta, G., Lacarbonara, W., & Masri, S. F. (2020). A review on computational intelligence for identification of nonlinear dynamical systems. Nonlinear Dynamics, 99(2), 1709-1761. Search in Google Scholar

Qin, J., Ma, Q., Yu, X., & Wang, L. (2020). On synchronization of dynamical systems over directed switching topologies: An algebraic and geometric perspective. IEEE Transactions on Automatic Control, 65(12), 5083-5098. Search in Google Scholar

Peng, H., Li, F., Liu, J., & Ju, Z. (2019). A symplectic instantaneous optimal control for robot trajectory tracking with differential-algebraic equation models. IEEE Transactions on Industrial Electronics, 67(5), 3819-3829. Search in Google Scholar

Schulze, P., Unger, B., Beattie, C., & Gugercin, S. (2018). Data-driven structured realization. Linear Algebra and its Applications, 537, 250-286. Search in Google Scholar

Hu, W., Wang, Z., Zhao, Y., & Deng, Z. (2020). Symmetry breaking of infinite-dimensional dynamic system. Applied Mathematics Letters, 103, 106207. Search in Google Scholar

Mohammadi, F., Moradi, L., Baleanu, D., & Jajarmi, A. (2018). A hybrid functions numerical scheme for fractional optimal control problems: application to nonanalytic dynamic systems. Journal of Vibration and Control, 24(21), 5030-5043. Search in Google Scholar

Mančinska Laura, Roberson David E. & Varvitsiotis Antonios.(2023).Graph isomorphism: physical resources, optimization models, and algebraic characterizations. Mathematical Programming(1-2),617-660. Search in Google Scholar

Harizanov, Valentina S., Lempp, Steffen, McCoy, Charles F. D., Morozov, Andrei S. & Solomon, Reed.(2022).On the isomorphism problem for some classes of computable algebraic structures. Archive for Mathematical Logic(5-6),1-13. Search in Google Scholar

Altassan Alaa, Mateen Muhammad Haris & Pamucar Dragan.(2021).On Fundamental Theorems of Fuzzy Isomorphism of Fuzzy Subrings over a Certain Algebraic Product. Symmetry(6),998-998. Search in Google Scholar

Rains Eric, Rubin Karl, Scholl Travis, Sharif Shahed & Silverberg Alice.(2021).Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant. Algebra & Number Theory(3),711-727. Search in Google Scholar

Nikolaos Galatos & José Gil-Férez.(2017).Modules over quantaloids: Applications to the isomorphism problem in algebraic logic and π -institutions. Journal of Pure and Applied Algebra(1),1-24. Search in Google Scholar

eISSN:
2444-8656
Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics