A finite time blowup result for quadratic ODE’s

Dennis Sullivan

doi:10.1007/978-3-642-11456-4_49

A finite time blowup result for quadratic ODE’s

Dennis Sullivan

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

We show that typical ODE’s sharing the obvious algebraic property of Euler’s equation exhibit finite time blowup. In a subsequent paper (Sullivan [1]) we study other finite dimensional analogues of Euler’s equation which have no finite time blowup.

Original language	English
Title of host publication	Dynamics, Games and Science I
Subtitle of host publication	DYNA 2008, in Honor of Mauricio Peixoto and David Rand
Editors	David A. Rand, Mauricio Matos Peixoto, Alberto Adrego Pinto
Publisher	Springer Verlag
Pages	761-762
Number of pages	2
ISBN (Electronic)	9783642114557
DOIs	https://doi.org/10.1007/978-3-642-11456-4_49
State	Published - 2011
Event	International conference on dynamical systems and game theory, DYNA 2008 - Braga, Portugal Duration: Sep 8 2008 → Sep 12 2008

Publication series

Name	Springer Proceedings in Mathematics
Volume	1
ISSN (Print)	2190-5614
ISSN (Electronic)	2190-5622

Conference

Conference	International conference on dynamical systems and game theory, DYNA 2008
Country/Territory	Portugal
City	Braga
Period	09/8/08 → 09/12/08

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10.1007/978-3-642-11456-4_49

Cite this

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title = "A finite time blowup result for quadratic ODE{\textquoteright}s",

abstract = "We show that typical ODE{\textquoteright}s sharing the obvious algebraic property of Euler{\textquoteright}s equation exhibit finite time blowup. In a subsequent paper (Sullivan [1]) we study other finite dimensional analogues of Euler{\textquoteright}s equation which have no finite time blowup.",

author = "Dennis Sullivan",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2011; International conference on dynamical systems and game theory, DYNA 2008 ; Conference date: 08-09-2008 Through 12-09-2008",

year = "2011",

doi = "10.1007/978-3-642-11456-4\_49",

language = "English",

series = "Springer Proceedings in Mathematics",

publisher = "Springer Verlag",

pages = "761--762",

editor = "Rand, \{David A.\} and Peixoto, \{Mauricio Matos\} and Pinto, \{Alberto Adrego\}",

booktitle = "Dynamics, Games and Science I",

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Sullivan, D 2011, A finite time blowup result for quadratic ODE’s. in DA Rand, MM Peixoto & AA Pinto (eds), Dynamics, Games and Science I: DYNA 2008, in Honor of Mauricio Peixoto and David Rand. Springer Proceedings in Mathematics, vol. 1, Springer Verlag, pp. 761-762, International conference on dynamical systems and game theory, DYNA 2008, Braga, Portugal, 09/8/08. https://doi.org/10.1007/978-3-642-11456-4_49

A finite time blowup result for quadratic ODE’s. / Sullivan, Dennis.
Dynamics, Games and Science I: DYNA 2008, in Honor of Mauricio Peixoto and David Rand. ed. / David A. Rand; Mauricio Matos Peixoto; Alberto Adrego Pinto. Springer Verlag, 2011. p. 761-762 (Springer Proceedings in Mathematics; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Sullivan, Dennis

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2011

PY - 2011

Y1 - 2011

N2 - We show that typical ODE’s sharing the obvious algebraic property of Euler’s equation exhibit finite time blowup. In a subsequent paper (Sullivan [1]) we study other finite dimensional analogues of Euler’s equation which have no finite time blowup.

AB - We show that typical ODE’s sharing the obvious algebraic property of Euler’s equation exhibit finite time blowup. In a subsequent paper (Sullivan [1]) we study other finite dimensional analogues of Euler’s equation which have no finite time blowup.

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M3 - Conference contribution

AN - SCOPUS:84930150107

T3 - Springer Proceedings in Mathematics

SP - 761

EP - 762

BT - Dynamics, Games and Science I

A2 - Rand, David A.

A2 - Peixoto, Mauricio Matos

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T2 - International conference on dynamical systems and game theory, DYNA 2008

Y2 - 8 September 2008 through 12 September 2008

ER -

A finite time blowup result for quadratic ODE’s

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