Orbitally symmetric systems with applications to planar centers
We present a generalization of the most usual symmetries in differential equations known as
the time-reversibility and the equivariance ones. We check that the typical properties are …
the time-reversibility and the equivariance ones. We check that the typical properties are …
Rational Involutions and an Application to Planar Systems of ODE
I Mastev, VG Romanovski, Y Tian - Mathematics, 2024 - mdpi.com
An involution refers to a function that acts as its own inverse. In this paper, our focus lies on
exploring two-dimensional involutive maps defined by rational functions. These functions …
exploring two-dimensional involutive maps defined by rational functions. These functions …
Extension of iterative roots
YG Shi, L Chen - Aequationes mathematicae, 2015 - Springer
This paper gives a purely set-theoretical extension theorem on iterative roots, which
generalizes the results about PM functions by Zhang and his collaborators. Applying this …
generalizes the results about PM functions by Zhang and his collaborators. Applying this …
Linear functional equations involving Babbage's equation
YG Shi, XB Gong - Elemente der Mathematik, 2014 - ems.press
Linear functional equations involving Babbage’s equation∗ Page 1 Elem. Math. 69 (2014) 195
– 204 0013-6018/14/040195-10 DOI 10.4171/EM/263 c Swiss Mathematical Society, 2014 …
– 204 0013-6018/14/040195-10 DOI 10.4171/EM/263 c Swiss Mathematical Society, 2014 …
Iterative roots with circuits for piecewise continuous and globally periodic maps
YG Shi - Topology and its Applications, 2012 - Elsevier
Given a set D of real numbers and a piecewise continuous and globally periodic map F: D→
D, we provide a description of all piecewise continuous iterative roots with circuits. We give …
D, we provide a description of all piecewise continuous iterative roots with circuits. We give …