In the mathematical theory of bifurcations, a Hopf or Poincaré–Andronov–Hopf bifurcation, named after Henri Poincaré, Eberhard Hopf, and Aleksandr Andronov, is a local bifurcation in which a fixed point of a dynamical system loses stability as a pair of complex conjugate eigenvalues of the linearization around the fixed point cross the imaginary axis of the complex plane.
Aleksandr Solzhenitsyn | Aleksandr Aleksandrovich Stackelberg | Aleksandr Danilovich Menshikov | Aleksandr Usov | Imperator Aleksandr II-class battleship | ''Imperator Aleksandr II''-class | Aleksandr Rodzyanko | Aleksandr Panayotov | Aleksandr Loktionov | Aleksandr Viktorovich Zakharov | Aleksandr Vasilyev | Aleksandr's Price | Aleksandr Shavlokhov | Aleksandr Myasnikyan | Aleksandr Mikhailovich Orlov | Aleksandr Lyapunov | Aleksandr Ivanovich Laktionov | Aleksandr Derevyagin | Aleksandr Burago | Aleksandr Baranov | Russian battleship Imperator Aleksandr III | Russian battleship ''Imperator Aleksandr III''' | Battleship ''Russian battleship Imperator Aleksandr III | Aleksandr Zakharov | Aleksandr Yuryevich Gushchin | Aleksandr Yevgenyevich Nechayev | Aleksandr Yakovlevich Chistyakov | Aleksandr Vyacheslavovich Chistyakov | Aleksandr Voronsky | Aleksandr Vladimirovich Nechayev |