53 citations · 166 across the 14 of their papers we have counts for
16 papers
Further elements on hypernormal forms of non-resonant double Hopf singularities
Majid Gazor, Boumediene Hamzi, Ahmad Shoghi
In this paper, we deal with hypernormal forms of non-resonant double Hopf singularities. We investigate the infinite level normal form classification of such singularities with non…
Symmetry-breaking singular controller design for Bogdanov-Takens bifurcations with an application to Chua system
Majid Gazor, Nasrin Sadri
We provide a complete symmetry-breaking bifurcation control for equivariant smooth differential systems with Bogdanov-Takens singularities. Controller coefficient space is partitio…
Musical tone coloring via bifurcation control of Eulerian n-tuple Hopf singularities
Majid Gazor, Ahmad Shoghi
An intrinsic essence of sounds in music is the evolution of their qualitative types while in mathematics we interpret each qualitative change by a bifurcation. Hopf bifurcation is…
Toral CW complexes and bifurcation control in Eulerian flows with multiple Hopf singularities
Majid Gazor, Ahmad Shoghi
We are concerned with bifurcation analysis and control of nonlinear Eulerian flows with non-resonant n-tuple Hopf singularity. The analysis is involved with CW complex bifurcations…
Parametric normal form classification for Eulerian and rotational non-resonant double Hopf singularities
Majid Gazor, Ahmad Shoghi
In this paper we provide novel results on the infinite level normal form and orbital normal form classifications of nonlinear Eulerian and rotational vector fields with two pairs o…
Vector potential normal form classification for completely integrable solenoidal nilpotent singularities
Majid Gazor, Fahimeh Mokhtari, Jan A. Sanders
We introduce a sl_2-invariant family of nonlinear vector fields with a non-semisimple triple zero singularity. In this paper we are concerned with characterization and normal form…
Bifurcation controller designs for the generalized cusp plants of Bogdanov--Takens singularity with an application to ship control
Majid Gazor, Nasrin Sadri
Nonlinear controlled plants with Bogdanov-Takens singularity may experience surprising changes in their number of equilibria, limit cycles and/or their stability types when the con…
A user guide for Singularity
Majid Gazor, Mahsa Kazemi
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 sc…
Symbolic local bifurcation analysis of scalar smooth maps
Majid Gazor, Mahsa Kazemi
The local zero structure of a smooth map may qualitatively change, when the map is subjected to small perturbations. The changes may include births and/or deaths of zeros. The qual…
Bifurcation control and universal unfolding for Hopf-zero singularities with leading solenoidal terms
Majid Gazor, Nasrin Sadri
In this paper we introduce universal asymptotic unfolding normal forms for nonlinear singular systems. Next, we propose an approach to find the parameters of a parametric singular…
Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case
Majid Gazor, Mojtaba Moazeni
We obtain a parametric normal form for any non-degenerate perturbation of the generalized saddle-node case of Bogdanov--Takens singularity. Explicit formulas are derived and greatl…
Normal Forms of Hopf-zero singularity
Majid Gazor, Fahimeh Mokhtari
The Lie algebra generated by Hopf-zero classical normal forms is decomposed into two versal Lie subalgebras. Some dynamical properties for each subalgebra are described; one is the…
Volume-preserving normal forms of Hopf-zero singularity
Majid Gazor, Fahimeh Mokhtari
A practical method is described for computing the unique generator of the algebra of first integrals associated with a large class of Hopf-zero singularity. The set of all volume-p…
Normal forms for Hopf-Zero singularities with nonconservative nonlinear part
Majid Gazor, Fahimeh Mokhtari, Jan A. Sanders
In this paper we are concerned with the simplest normal form computation of a family of Hopf-zero vector fields without a first integral. This family of vector fields are the class…
Condensation rank of injective Banach spaces
Majid Gazor
The condensation rank associates any topological space with a unique ordinal number. In this paper we prove that the condensation rank of any infinite dimensional injective Banach…
The spectral sequences and parametric normal forms
Majid Gazor, Pei Yu
We generalize recent developments on normal forms and the spectral sequences method to make a foundation for parametric normal forms. We further introduce a new style and costyle t…