A user guide for Singularity. This is a user guide for the first version of our developed Maple library, named Singularity. The first version here is designed for the qualitative study of local real zeros of scalar smooth maps. This library will be extended for symbolic bifurcation analysis and control of different singularities including autonomous differential singular systems and local real zeros of multidimensional smooth maps. Many tools and techniques from computational algebraic geometry have been used to develop Singularity. However, we here skip any reference on how this library is developed. This package is useful for both pedagogical and research purposes. Singularity will be updated as our research progresses and will be released for public access once our draft paper  is peer-reviewed in a refereed journal.
Keywords for this software
References in zbMATH (referenced in 7 articles )
Showing results 1 to 7 of 7.
- Jiang, Cuicui; Zhang, Yongxin; Wang, Wendi: Codimension-3 bifurcation in the p53 regulatory network model (2021)
- Gazor, Majid; Kazemi, Mahsa: Normal form analysis of (\mathbbZ_2)-equivariant singularities (2019)
- Gazor, Majid; Mokhtari, Fahimeh; Sanders, Jan A.: Vector potential normal form classification for completely integrable solenoidal nilpotent singularities (2019)
- Hashemi, Amir; Kazemi, Mahsa: Parametric standard bases and their applications (2019)
- Gazor, Majid; Kazemi, Mahsa: (Z_2)-equivariant standard bases for submodules associated with (Z_2)-equivariant singularities (2016)
- Gazor, Majid; Sadri, Nasrin: Bifurcation control and universal unfolding for Hopf-zero singularities with leading solenoidal terms (2016)
- Majid Gazor, Mahsa Kazemi: A user guide for Singularity (2016) arXiv