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Abstract

Chirogenesis in Supramolecular Systems on the Basis of Porphyrinoids †

Department of Chemistry and Biotechnology, Tallinn University of Technology, Academia tee 15, 12616 Tallinn, Estonia
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 83; https://doi.org/10.3390/proceedings2010083
Published: 5 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
Noether’s theorem provides a systematic method to obtain conservation laws (conserved integrals) for differential equations but it requires an equation to have a variational (Lagrangian) formulation. In a series of publications [1,2,3,4,5,6], a generalization of Noether’s theorem has been developed using the concept of adjoint-symmetries. This generalization applies to all differential equations, without requiring that a variational formulation exists, and is algorithmic in the same sense as Lie’s method for finding symmetries of differential equations. The main steps in the generalization will be outlined and examples of finding conservation laws for non-variational differential equations will be illustrated.

References

  1. Bluman, G.; Anco, S.C. Symmetry and Integration Methods for Differential Equations. In Applied Mathematical Sciences Series; Springer: Berlin/Heidelberg, Germany, 2002; Volume 154. [Google Scholar]
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MDPI and ACS Style

Borovkov, V. Chirogenesis in Supramolecular Systems on the Basis of Porphyrinoids. Proceedings 2018, 2, 83. https://doi.org/10.3390/proceedings2010083

AMA Style

Borovkov V. Chirogenesis in Supramolecular Systems on the Basis of Porphyrinoids. Proceedings. 2018; 2(1):83. https://doi.org/10.3390/proceedings2010083

Chicago/Turabian Style

Borovkov, Victor. 2018. "Chirogenesis in Supramolecular Systems on the Basis of Porphyrinoids" Proceedings 2, no. 1: 83. https://doi.org/10.3390/proceedings2010083

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