3 papers
math-ph2025
Mixed superposition rules for Lie systems and compatible geometric structures
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz +1
Mixed superposition rules are, in short, a method to describe the general solutions of a time-dependent system of first-order differential equations, a so-called Lie system, in ter…
math.PR2025
Applications of standard and Hamiltonian stochastic Lie systems
Javier de Lucas, Marcin ZajÄ c
A stochastic Lie system on a manifold is a stochastic differential equation whose dynamics is described by a linear combination with functions depending on -va…
math-ph2025
Nonlinear Lie-Hamilton systems: -Dependent curved oscillators and Kepler-Coulomb Hamiltonians
Rutwig Campoamor-Stursberg, Francisco J. Herranz, Javier de Lucas
The Lie-Hamilton approach for -dependent Hamiltonians is extended to cover the so-called nonlinear Lie-Hamilton systems, which are no longer related to a linear -dependent co…