The Jacobian Conjecture
I presented a summary of some results
and questions concerning Jacobian Conjectures in August, 2000.
My papers on this topic include:
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M. Chamberland, A. Cima, A. Gasull, F. Mañosas,
(2007),
Characterizing Asymptotic Stability with Dulac Functions
,
Discrete and Continuous Dynamical Systems,
17, 59-76.
-
M. Chamberland, (2006),
Dynamics of Maps with
Nilpotent Jacobians,
Journal of Difference Equations and Applications.
12, 49-56.
-
M. Chamberland, J. Llibre and G. Swirszcz (2004),
Weakened Markus-Yamabe conditions for
2-dimensional global asymptotic stability,
Nonlinear Analysis ,
59 , 951-958.
-
M. Chamberland (2003),
Characterizing Two-dimensional Maps whose Jacobians have Constant Eigenvalues,
Canadian Mathematical Bulletin,
46 , 323-331
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M. Chamberland (2000),
Diffeomorphic Real-Analytic Maps and the Jacobian Conjecture,
Mathematical and Computer Modelling 32, 727-732.
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M. Chamberland and G.H. Meisters (1998),
A Mountain Pass to the Jacobian Conjecture,
Canadian Mathematical Bulletin
41(5), 442-451
-
M. Chamberland (1998),
Global Asymptotic Stability and the Jacobian Conjecture,
Canadian Applied Mathematical Quarterly
5, 331-339.