Corpus ID: 236976270

Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides

@inproceedings{Calogero2021ExplicitlySS,
  title={Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides},
  author={Francesco Calogero and F. Payandeh},
  year={2021}
}
Physics Department, University of Rome ”La Sapienza”, Rome, Italy b INFN, Sezione di Roma 1 Department of Physics, Payame Noor University, PO BOX 19395-3697 Tehran, Iran In this short paper we identify special systems of (an arbitrary number) N of first-order Difference Equations with nonlinear homogeneous polynomials of arbitrary degree M in their right-hand sides, which feature very simple explicit solutions. A novelty of these findings is to consider special systems characterized by… Expand
A solvable nonlinear autonomous recursion of arbitrary order
The initial-values problem of the following nonlinear autonomous recursion of order p ,

References

SHOWING 1-3 OF 3 REFERENCES
Explicitly Solvable Systems of First-order Ordinary Differential Equations with Polynomial Right-hand Sides, and Their Periodic Variants
In this Letter we identify special systems of (an arbitrary number) N of first-order Ordinary Differential Equations with homogeneous polynomials of arbitrary degree M on their right-hand sides,Expand
Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs
This note considers fairly general quasi-homogeneous systems of first-order nonlinear ODEs and homogeneous systems of second-order nonlinear ODEs that contain arbitrary functions of severalExpand
Solution of the initial-values problem of first-order nonlinear recursions with homogeneous right-hand
  • J. Math. Phys