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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 2022 • Question 4

Question

Math 6410 • ODE Fall 2022 • Question 4

Describe the bifurcations that occur in the equation as the parameter \(a\in \mathbb {R}\) increases.

\[ \ddot {x}+(x^2+\dot {x}^2-a)\dot {x}+x=0 \]

Raw LaTeX

Describe the bifurcations that occur in the equation as the parameter
\(a\in\mathbb{R}\) increases.

\[
\ddot{x}+(x^2+\dot{x}^2-a)\dot{x}+x=0
\]

Topic Tags

Bifurcation Theory