Otwarty dostęp

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

  
05 sie 2024

Zacytuj
Pobierz okładkę

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

Język:
Angielski
Częstotliwość wydawania:
1 razy w roku
Dziedziny czasopisma:
Nauki biologiczne, Nauki biologiczne, inne, Matematyka, Matematyka stosowana, Matematyka ogólna, Fizyka, Fizyka, inne