Accepted

• M. Chamberland (2006),
  A Natural Extension of the Pythagorean Equation to Higher Dimensions,
  The Ramanujan Journal.

Published

• M. Chamberland (2008),
  Using Integer Relations Algorithms for finding Relationships among Functions ,
  Contemporary Mathematics, 457 ,(2008), 127--133, "Tapas in Experimental Mathematics", AMS Special Session on Experimental Mathematics, January 5, 2007, New Orleans, LA, T. Amdeberhan and V. Moll editors.
• M. Chamberland, M. Martelli (2007),
  The Mean-Median Map,
  Journal of Difference Equations and Applications 13, 577-583.
• J. Borwein, M. Chamberland (2007),
  Integer Powers of Arcsin ,
  International Journal of Mathematics and Mathematical Sciences
• 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, C. French, (2006),
  Generalized Catalan Numbers and Generalized Hankel Transformations ,
  Journal of Integer Sequences 10 , article 07.1.1, 1-7.
• M. Chamberland and Karl Dilcher, (2006),
  Divisibility Properties of a Class of Binomial Sums ,
  Journal of Number Theory, 120, 349-371.
• M. Chamberland and Victor H. Moll, (2006),
  Dynamics of the degree six Landen Transformation,
  Discrete and Continuous Dynamical Systems, 15, 905-919.
• M. Chamberland, (2006),
  Dynamics of Maps with Nilpotent Jacobians,
  Journal of Difference Equations and Applications, 12, 49-56.
• M. Chamberland and Arno van den Essen, (2006),
  Nilpotent Jacobians in Dimension Three,
  Journal of Pure and Applied Algebra, 205 , 146-155.
• 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 and D. Thomas (2004),
  The N - Number Ducci Game - Open Problems,
  Journal of Difference Equations and Applications, 10 , 339-342
• M. Chamberland (2003),
  Una actualizacio del problema 3x+1 (Catalan, translated by Toni Guillamon i Grabolosa)
  [An Update on the 3x+1 Problem],
  Butlleti de la Societat Catalana de Matematiques 18 , 19--45.
• M. Chamberland (2003),
  Binary BBP-Formulas for Logarithms and Generalized Gaussian Mersenne Primes,
  Journal of Integer Sequences 6 , article 03.3.7, 1-10.
• M. Chamberland (2003),
  Characterizing Two-dimensional Maps whose Jacobians have Constant Eigenvalues,
  Canadian Mathematical Bulletin, 46 , 323-331
• M. Chamberland (2003),
  Unbounded Ducci Sequences,
  Journal of Difference Equations and Applications 9 , 887-895
• M. Chamberland and M. Martelli (2003),
  Unbounded Orbits and Binary Digits,
  Journal of Difference Equations and Applications 9 , 687-691
• M. Chamberland and D. Siegel (2001),
  Polynomial Solutions to Dirichlet Problems,
  Proceedings of the American Mathematical Society 129(1), 211-217.
• O. Andriychenko and M. Chamberland (2000),
  Iterated Strings and Cellular Automata,
  Mathematical Intelligencer 22(4), 33-36
• M. Chamberland (2000),
  Diffeomorphic Real-Analytic Maps and the Jacobian Conjecture,
  Mathematical and Computer Modelling 32, 727-732.
• M. Chamberland (2000),
  Families of Solutions of a Cubic Diophantine Equation,
  Fibonacci Quarterly 38(3), 250-253
• M. Chamberland and R. Cressman (2000),
  An Example of Dynamic (In)Consistency in Symmetric Extensive Form Evolutionary Games,
  Games and Economic Behavior 30, 319-326
• 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.
• M. Chamberland and D. Siegel (1997),
  Convex Domains with Stationary Hot Spots,
  Mathematical Methods in the Applied Sciences 20, 1163-1169.
• M. Chamberland (1996),
  A Continuous Extension of the 3x+1 Problem to the Real Line,
  Dynamics of Continuous, Discrete and Impulsive Systems 2, 495-509.
• M. Chamberland (1996),
  Mean Value Integral Equations and the Helmholtz Equation,
  Results in Mathematics 30, 39-44.
  (Makes use of a result from my unpublished paper "Translation-Invariant...")
• M. Chamberland and G.M.L. Gladwell (1995),
  A Characterization of the Disc by Sets of Uniqueness,
  Zeitschrift fur die Angewandte Mathematik und Physik 46, 807-811.
• N.B. Willms, M. Chamberland and G.M.L. Gladwell (1995),
  A Duality Theorem for an Overdetermined Eigenvalue Problem,
  Zeitschrift fur die Angewandte Mathematik und Physik 46, 623-629.
• M. Chamberland and A.S. Lewis (1994),
  Contours of Liapunov Functions,
  Journal of Optimization Theory and Applications 80(1), 149-160.
• M. Chamberland and G.M.L. Gladwell (1993),
  On Transforming Three-Dimensional Inverse-Scattering Problems to One Dimension,
  Inverse Problems 9, 241-249.
• M. Chamberland and V. Zeidan (1992),
  Second Order Necessity and Sufficiency Theory for the Free Final Time Problem,
  proceedings of the conference on Decision and Control, Arizona.

Unpublished Papers

• M. Chamberland and G.M.L. Gladwell (1995),
  Translation-Invariant Rotation-Invariant Spaces of Continuous Functions and the Pompeiu Problem
  (A result from this paper was used in my paper "Mean Value Integral Equations ...")