Complex Polynomial Vector Fields

Research output: Contribution to conferencePaper – Annual report year: 2007Research

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Complex Polynomial Vector Fields. / Dias, Kealey.

2007. Paper presented at Conformal Structures and Dynamics : The current state-of-art and perspectives, University of Warwick, UK, .

Research output: Contribution to conferencePaper – Annual report year: 2007Research

Harvard

Dias, K 2007, 'Complex Polynomial Vector Fields' Paper presented at Conformal Structures and Dynamics : The current state-of-art and perspectives, University of Warwick, UK, 01/01/2007, .

APA

Dias, K. (2007). Complex Polynomial Vector Fields. Paper presented at Conformal Structures and Dynamics : The current state-of-art and perspectives, University of Warwick, UK, .

CBE

Dias K. 2007. Complex Polynomial Vector Fields. Paper presented at Conformal Structures and Dynamics : The current state-of-art and perspectives, University of Warwick, UK, .

MLA

Vancouver

Dias K. Complex Polynomial Vector Fields. 2007. Paper presented at Conformal Structures and Dynamics : The current state-of-art and perspectives, University of Warwick, UK, .

Author

Dias, Kealey. / Complex Polynomial Vector Fields. Paper presented at Conformal Structures and Dynamics : The current state-of-art and perspectives, University of Warwick, UK, .

Bibtex

@conference{8db417837da445f1ba965a7cb7f3a9b6,
title = "Complex Polynomial Vector Fields",
abstract = "The two branches of dynamical systems, continuous and discrete, correspond to the study of differential equations (vector fields) and iteration of mappings respectively. In holomorphic dynamics, the systems studied are restricted to those described by holomorphic (complex analytic) functions or meromorphic (allowing poles as singularities) functions. There already exists a well-developed theory for iterative holomorphic dynamical systems, and successful relations found between iteration theory and flows of vector fields have been one of the main motivations for the recent interest in holomorphic 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 of parameter spaces into structurally stable domains, and a description of the bifurcations. For this reason, the talk will focus on these questions for complex polynomial vector fields.",
keywords = "Holomorphic",
author = "Kealey Dias",
year = "2007",
language = "English",
note = "Conformal Structures and Dynamics : The current state-of-art and perspectives, CODY ; Conference date: 01-01-2007",

}

RIS

TY - CONF

T1 - Complex Polynomial Vector Fields

AU - Dias, Kealey

PY - 2007

Y1 - 2007

N2 - The two branches of dynamical systems, continuous and discrete, correspond to the study of differential equations (vector fields) and iteration of mappings respectively. In holomorphic dynamics, the systems studied are restricted to those described by holomorphic (complex analytic) functions or meromorphic (allowing poles as singularities) functions. There already exists a well-developed theory for iterative holomorphic dynamical systems, and successful relations found between iteration theory and flows of vector fields have been one of the main motivations for the recent interest in holomorphic 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 of parameter spaces into structurally stable domains, and a description of the bifurcations. For this reason, the talk will focus on these questions for complex polynomial vector fields.

AB - The two branches of dynamical systems, continuous and discrete, correspond to the study of differential equations (vector fields) and iteration of mappings respectively. In holomorphic dynamics, the systems studied are restricted to those described by holomorphic (complex analytic) functions or meromorphic (allowing poles as singularities) functions. There already exists a well-developed theory for iterative holomorphic dynamical systems, and successful relations found between iteration theory and flows of vector fields have been one of the main motivations for the recent interest in holomorphic 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 of parameter spaces into structurally stable domains, and a description of the bifurcations. For this reason, the talk will focus on these questions for complex polynomial vector fields.

KW - Holomorphic

M3 - Paper

ER -