INSTABILITY IN THE PRESENCE OF AN INDEFINITE CONSERVATION LAW

DOI10.1142/S0219887810004373zbMath1201.37029OpenAlexW2088712893MaRDI QIDQ3569294

Petre Birtea

Publication date: 18 June 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887810004373

zbMATH Keywords

stabilitylinearizationequilibriumdynamical systemHessian

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• An inversion of the Lagrange-Dirichlet stability theorem
• Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
• The influence of the kinetic energy in equilibrium of Hamiltonian systems

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