scientific article

zbMath0960.34510MaRDI QIDQ2710181

L. G. Khazin, Emmanuil E. Shnol

Publication date: 19 April 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Lyapunov's first method for strongly non-linear systems ⋮ Stability of solutions of pseudolinear differential equations with impulse action ⋮ The stability and stabilization of the motion of non-conservative mechanical systems ⋮ Bifurcation of periodic motions under 1:1 resonance with Jordan blocks ⋮ A four-dimensional analog of Lyapunov's classical stability problem ⋮ On the stability of solutions of large-scale systems of impulsive differential equations in critical cases ⋮ An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations ⋮ A counterpart of A. M. Molchanov's critical case for impulse systems ⋮ On the connected stability of the large-scale systems of dynamical equations on the time scale in critical cases ⋮ On the stability of Thomson's vortex pentagon inside a circular domain ⋮ Reduction theorems in the problem of stability of the critical equilibria of impulsive differential equations ⋮ Unnamed Item ⋮ On stability of critical equilibrium states of some classes of complex impulsive systems ⋮ Algorithms for qualitative analysis of complex systems ⋮ Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry ⋮ The stability of the cylindrical precession of a viscoelastic body undergoing oscillations along an axis of symmetry ⋮ Algebraic criteria for asymptotic stability at 1:1 resonance

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