13 citations · 38 across the 9 of their papers we have counts for
9 papers
Generalized Buchdahl equations as Lie-Hamilton systems from the 'book' and oscillator algebras: Quantum deformations and their general solution
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz
We revisit the nonlinear second-order differential equations where and are arbitrary functions on their argument f…
Solutions by quadratures of complex Bernoulli differential equations and their quantum deformation
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz
It is shown that the complex Bernoulli differential equations admitting the supplementary structure of a Lie-Hamilton system related to the book algebra can always…
Generalized time-dependent SIS Hamiltonian models: Exact solutions and quantum deformations
Eduardo Fernandez-Saiz, Rutwig Campoamor-Stursberg, Francisco J. Herranz
The theory of Lie-Hamilton systems is used to construct generalized time-dependent SIS epidemic Hamiltonians with a variable infection rate from the 'book' Lie algebra. Although th…
Hamiltonian stochastic Lie systems and applications
E. Fernández-Saiz, J. de Lucas, X. Rivas +1
This paper provides a practical approach to stochastic Lie systems, i.e. stochastic differential equations whose general solutions can be written as a function depending only on a…
Exact solutions and superposition rules for Hamiltonian systems generalizing time-dependent SIS epidemic models with stochastic fluctuations
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz
Using the theory of Lie-Hamilton systems, formal generalized time-dependent Hamiltonian systems that enlarge a recently proposed SIS epidemic model with a variable infection rate a…
A geometric approach to Lie systems: formalism of Poisson-Hopf algebra deformations
Eduardo Fernandez-Saiz
The notion of quantum algebras is merged with that of Lie systems in order to establish a new formalism called Poisson-Hopf algebra deformations of Lie systems. The procedure can b…
Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
The formalism for Poisson-Hopf (PH) deformations of Lie-Hamilton systems is refined in one of its crucial points concerning applications, namely the obtention of effective and comp…
A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on sl(2)
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
Based on a recently developed procedure to construct Poisson-Hopf deformations of Lie-Hamilton systems, a novel unified approach to nonequivalent deformations of Lie-Hamilton syste…
Poisson-Hopf algebra deformations of Lie-Hamilton systems
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the so-called Lie-Hamilton systems, to devise a novel formalism: the Poisson-Hopf algebra defo…