3 papers
math.DS2026
Existence and Stability of 3-Cycles in Quadratic Maps
Dan Comănescu
For a discrete dynamical system on generated by a quadratic function, we show, using elementary computations, that the existence, number, and stability of 3-cycles are determi…
math.RA2024
Linear matrix equations with parameters forming a commuting set of diagonalizable matrices
Dan Comănescu
We prove that the following statements are equivalent: a linear matrix equation with parameters forming a commuting set of diagonalizable matrices is consistent, a certain matrix c…
math-ph2016
Dynamics under Geometric Dissipation
Petre Birtea, Dan Comănescu
We give sufficient conditions for asymptotic stabilization of equilibrium points and periodic orbits of a dynamical system when we add a geometric dissipation of gradient type. We…