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formatting (the question was bumped by the system anyway)
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YCor
YCor
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Center manifold theorem and case of all zero eigenvalueeigenvalues

Is the center manifold theorem applicable if say for a planar  (2D) system of non-linear odeODE, the stability matrix has both eigenvalues zero? Of course, there is only one eigenvector.

If not, what is the way to approach such a problem?

Center manifold theorem and case of all zero eigenvalue

Is the center manifold theorem applicable if say for a planar(2D) system of non-linear ode, the stability matrix has both eigenvalues zero? Of course, there is only one eigenvector.

If not, what is the way to approach such a problem?

Center manifold theorem and case of all zero eigenvalues

Is the center manifold theorem applicable if say for a planar  (2D) system of non-linear ODE, the stability matrix has both eigenvalues zero? Of course, there is only one eigenvector.

If not, what is the way to approach such a problem?

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Typos in the title are corrected.
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user64494
user64494
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Center Manifold Theoremmanifold theorem and case of all zero eigenvalue

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Subho
Subho
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Center Manifold Theorem and case of all zero eigenvalue

Is the center manifold theorem applicable if say for a planar(2D) system of non-linear ode, the stability matrix has both eigenvalues zero? Of course, there is only one eigenvector.

If not, what is the way to approach such a problem?