Dynamical phenomena connected with stability loss of equilibria and periodic trajectories

DOI10.1070/RM10023zbMath1496.37026OpenAlexW4206747212MaRDI QIDQ5069062

Anatoly I. Neishtadt, Dmitrij V. Treshev

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10023

zbMATH Keywords

Lyapunov stabilitybifurcation of periodic solutionbifurcation of equilibriumstability loss delayhard stability losssoft stability loss

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of singular points in dynamical systems (37G10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for smooth dynamical systems (37C75)