A finite time blowup result for quadratic ODE's
Dennis Sullivan
TL;DR
This paper presents a finite time blowup result for quadratic ordinary differential equations, contributing to the understanding of solution behaviors in nonlinear dynamical systems.
Contribution
It provides a new finite time blowup criterion specifically for quadratic ODEs, extending previous theoretical results.
Findings
Demonstrates conditions leading to finite time blowup in quadratic ODEs
Establishes a theoretical framework for analyzing blowup behavior
Connects abstract ODE theory to practical implications
Abstract
This short paper is dedicated to Mauricio Peixoto who abstracted the practical theory of ODE's and to David Rand who applied the subsequent powerful abstract theory to practical problems.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems · Numerical methods for differential equations