Is positive eigenvalue representing a stable system and a negative eigenvalue representing an unstable system?

02 February 2019 1 7K Report

Nonlinear FEM problems in buckling result in positive and negative eigenvalues. Which of the two senses represent stable and unstable systems?

Issam Kaddoura

Dear Navin Ramroop ,

The converse is true.

If all eigenvalues of the Jacobian matrix of the (system of DE) have negative real parts, then the equilibrium state is stable.

If one the eigenvalues has a positive real part, then the equilibrium system is unstable.

Best regards

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