Addendum in `Silva, Vinícius B. et al., 2018, A new application of the normal form description to a N-dimensional dynamical systems attending the conditions of a Hopf bifurcation, Journal of Vibration Testing and System Dynamics, 2(3), 249-256'

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Authors

  • Vinícius B. Silva Departamento de Física, UNESP - Universidade Estadual Paulista, Av. 24A, 1515 - Bela Vista, 13506-900, Rio Claro, SP, Brazil Author
  • João P. Vieira Departamento de Matemática, UNESP - Universidade Estadual Paulista, Av. 24A, 1515 - Bela Vista, 13506-900, Rio Claro, SP, Brazil Author
  • Edson D. Leonel Departamento de Física, UNESP - Universidade Estadual Paulista, Av. 24A, 1515 - Bela Vista, 13506-900, Rio Claro, SP, Brazil; Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy Author

DOI:

https://doi.org/10.5890/JVTSD.2019.09.008

Abstract

In the underlying work, a general theorem for the derivation of the normal form of N-dimensional systems reduced to its center manifold is proposed and proved. In the present addendum, some observations regarding the conditions of the theorem are added. The corrections and the additions not only don’t affect the value of the best part of the published article but also enhance the value of the original manuscript.

References

[1] Hopf, E., Morawetz, S., Serrin, J. (2002), Selected Works of Eberhard Hopf:With Commentaries, American Mathematical Society: Providence, Rhode Island.

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PublishedSeptember 2019

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 3 No. 3 (2019): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Silva, V. B., Vieira, J. P., & Leonel, E. D. (2026). Addendum in `Silva, Vinícius B. et al., 2018, A new application of the normal form description to a N-dimensional dynamical systems attending the conditions of a Hopf bifurcation, Journal of Vibration Testing and System Dynamics, 2(3), 249-256’. Journal of Vibration Testing and System Dynamics, 3(3), 369-371. https://doi.org/10.5890/JVTSD.2019.09.008

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