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10 items by relevance
1 Conference paper

Complex Polynomial Vector Fields

Dias, Kealey

vector fields. Since the class of complex polynomial vector fields in the plane is natural to consider, it is remarkable that its study has only begun very recently. There are numerous fundamental questions that are still open, both in the general classification of these vector fields, the decomposition

Year: 2007

Language: English

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2 Conference paper

Complex Polynomial Vector Fields

Dias, Kealey

vector fields. Since the class of complex polynomial vector fields in the plane is natural to consider, it is remarkable that its study has only begun very recently. There are numerous fundamental questions that are still open, both in the general classification of these vector fields, the decomposition

Year: 2007

Language: English

More...
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3 Other

Complex Polynomial Vector Fields

Dias, Kealey

vector fields. Since the class of complex polynomial vector fields in the plane is natural to consider, it is remarkable that its study has only begun very recently. There are numerous fundamental questions that are still open, both in the general classification of these vector fields, the decomposition

Year: 2007

Language: English

More...
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4 Master Thesis

Bifurcations of Complex Polynomial Vector Fields

Dias, Kealey

Complex polynomial vector fields in the plane form a restricted subset of vector fields in the plane in general. We analyze these vector fields by reducing them to their fundamental parts (separatrices, equilibrium points and their basins) and defining out of these combinatorial and analytic

Year: 2006

Language: Undetermined

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5 Conference paper

Transversals of Complex Polynomial Vector Fields

Dias, Kealey

Vector fields in the complex plane are defined by assigning the vector determined by the value P(z) to each point z in the complex plane, where P is a polynomial of one complex variable. We consider special families of so-called rotated vector fields that are determined by a polynomial multiplied

Year: 2006

Language: English

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6 Preprint article

Classification of Complex Polynomial Vector Fields in One Complex Variable

Branner, Bodil; Dias, Kealey

A classification of the global structure of monic and centered one-variable complex polynomial vector fields is presented.

Year: 2009

Language: Undetermined

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7 Journal article

Classification of complex polynomial vector fields in one complex variable

Branner, Bodil; Dias, Kealey

Journal of Difference Equations and Applications — 2010, Volume 16, Issue 5-6, pp. 463-517

This paper classifies the global structure of monic and centred one-variable complex polynomial vector fields. The classification is achieved by means of combinatorial and analytic data. More specifically, given a polynomial vector field, we construct a combinatorial invariant, describing

Year: 2010

Language: English

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8 Journal article

On parameter space of complex polynomial vector fields in C

Dias, Kealey; Tan, Lei

Journal of Differential Equations — 2014, Volume 260, Issue 1, pp. 628-652

The space Ξd of degree d single-variable monic and centered complex polynomial vector fields can be decomposed into loci in which the vector fields have the same topological structure. This paper analyzes the geometric structure of these loci and describes some bifurcations. In particular

Year: 2014

Language: English

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9 Journal article

Enumerating combinatorial classes of the complex polynomial vector fields in ℂ

DIAS, KEALEY

Ergodic Theory and Dynamical Systems — 2013, Volume 33, Issue 2, pp. 416-440

In order to understand the parameter space Ξ d of monic and centered complex polynomial vector fields in ℂ of degree d, decomposed by the combinatorial classes of the vector fields, it is interesting to know the number of loci in parameter space consisting

Year: 2013

Language: Undetermined

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10 Conference paper

Enumeration of Combinatorial Classes of Single Variable Complex Polynomial Vector Fields

Dias, Kealey

A vector field in the space of degree d monic, centered single variable complex polynomial vector fields has a combinatorial structure which can be fully described by a combinatorial data set consisting of an equivalence relation and a marked subset on the integers mod 2d-2, satisfying certain

Year: 2008

Language: English

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