On the degree of instability

DOI10.1016/0021-8928(93)90141-8zbMath0798.70013OpenAlexW2031296699MaRDI QIDQ1324809

Valery V. Kozlov

Publication date: 19 July 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(93)90141-8

zbMATH Keywords

linearizationeigenvaluesMorse functionsautonomous dynamical systemcompact invariant manifoldsnon- degenerate equilibrium position

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Incompressible inviscid fluids (76B99) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ The asymptotic motions of systems with dissipation ⋮ Remarks on the degree of instability ⋮ Structural stability of coexistence in evolutionary dynamics of cyclic competition ⋮ Invariant sets of mechanical systems. ⋮ A note on the complete instability of linear non-conservative undamped systems

Cites Work

• Linear systems with a quadratic integral
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