In mathematics, the Markus–Yamabe conjecture is a conjecture on global asymptotic stability. If the Jacobian matrix of a dynamical system at a fixed point...

stability. Kalman's conjecture is a strengthening of Aizerman's conjecture and is a special case of Markus–Yamabe conjecture. This conjecture was proven false...

function LaSalle's invariance principle Lyapunov–Malkin theorem Markus–Yamabe conjecture Libration point orbit Hartman–Grobman theorem Perturbation theory...

asymptotic stability of a continuous autonomous dynamical system. The Markus–Yamabe conjecture was formulated as an attempt to give conditions for global stability...

theorem (differential equations) Liénard's theorem (dynamical systems) Markus−Yamabe theorem (dynamical systems) Peano existence theorem (ordinary differential...