A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
- 1 January 1995
- journal article
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 62 (1) , 45-74
- https://doi.org/10.4064/ap-62-1-45-74
Abstract
The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)?Keywords
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