References
- F. Calogero and F. Payandeh, Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete- Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides, J. Nonlinear Math. Phys. 26 (2), 273–280 (2019). doi: 10.1080/14029251.2019.1591729
- F. Calogero, “Motion of Poles and Zeros of Special Solutions of Nonlinear and Linear Partial Differen- tial Equations, and Related “Solvable” Many-Body Problems, Nuovo Cimento 43B, 177–241 (1978). doi: 10.1007/BF02721013
- F. Calogero, Classical many-body problems amenable to exact treatments, Lecture Notes in Physics Monograph m66, Springer, Heidelberg, 2001 (749 pages).
- F. Calogero, New solvable variants of the goldfish many-body problem, Studies Appl. Math. 137 (1), 123–139 (2016); DOI: 10.1111/sapm.12096. http://arxiv.org/abs/1806.07502.
- F. Calogero, Zeros of Polynomials and Solvable Nonlinear Evolution Equations, Cambridge University Press, Cambridge, U. K., 2018 (168 pages).
- O. Bihun and F. Calogero, Time-dependent polynomials with one double root, and related new solvable systems of nonlinear evolution equations, Qual. Theory Dyn. Syst. (published online: 26 July 2018) 18 (1), 153–181 (201); doi.org/10.1007/s12346-018-0282-3.
- O. Bihun, Time-dependent polynomials with one multiple root and new solvable dynamical systems, arXiv:1808.00512v1 [math-ph] 1 Aug 2018.
- F. Calogero and F. Payandeh, Polynomials with multiple zeros and solvable dynamical systems includ- ing models in the plane with polynomial interactions, J. Math. Phys. (submitted to, 20.11.2018).
- F. Calogero and F. Payandeh, Solvable dynamical systems in the plane with polynomial interactions, a chapter in Vol. 1 (Integrable Systems) of the collective book dedicated to Emma Previato for her 65th birthdate, edited by R. Donagi and T. Shaska: Integrable Systems and Algebraic Geometry, Cambridge University Press, LMS Lecture Notes Series, 2019; arXiv: 1904.02151v1 [math-ph] 31 Mar. 2019.
- F. Calogero and F. Payandeh, Some Algebraically Solvable Two-Dimensional Dynamical Systems with Polynomial Interactions, J. Phys. Conf. Ser. (in press) arXiv: 1904.02152v1 [math-ph] 2 Apr. 2019.
- M. Bruschi, F. Calogero and F. Leyvraz, A large class of solvable discrete-time many-body problems, J. Math. Phys. 55, 082703 (9 pages) (2014); http://doi.org/10.1063/1.4891760.
- O. Bihun and F. Calogero, Generations of monic polynomials such that the coefficients of each polyno- mial of the next generation coincide with the zeros of a polynomial of the current generation, and new solvable many-body problems, Lett. Math. Phys. 106 (7), 1011-1031 (2016); DOI: 10.1007/s11005-016-0836-8. arXiv: 1510.05017 [math-ph].
- O. Bihun and F. Calogero, Generations of solvable discrete-time dynamical systems, J. Math. Phys. 58, 052701 (2017); DOI: 10.1063/1.4928959.