LIE–HAMILTON SYSTEMS: THEORY AND APPLICATIONS
From MaRDI portal
Publication:2855848
DOI10.1142/S0219887813500473zbMath1317.53108arXiv1211.6991OpenAlexW3099192249MaRDI QIDQ2855848
José F. Cariñena, Cristina Sardón, Javier de Lucas
Publication date: 22 October 2013
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.6991
Related Items
Geometry of Riccati equations over normed division algebras, Multisymplectic structures and invariant tensors for Lie systems, Reduction and reconstruction of multisymplectic Lie systems, Higher derivative gravity’s anti-Newtonian limit and the Caldirola–Kanai oscillator, Jacobi-Lie Hamiltonian Systems on Real Low-Dimensional Jacobi-Lie Groups and their Lie Symmetries, A generalization of a SIS epidemic model with fluctuations, Contact Lie systems: theory and applications, Lie–Hamilton systems on curved spaces: a geometrical approach, Poisson–Hopf algebra deformations of Lie–Hamilton systems, Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems, Recent advances on Lie systems and their applications, Geometric features of Vessiot–Guldberg Lie algebras of conformal and Killing vector fields on $\mathbb{R}^2$, Lie symmetries for Lie systems: applications to systems of ODEs and PDEs, Dirac-Lie systems and Schwarzian equations, A Lie systems approach to the Riccati hierarchy and partial differential equations, \(k\)-symplectic Lie systems: theory and applications, Lie-Hamilton systems on the plane: properties, classification and applications, Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra, Stratified Lie systems: theory and applications, Jacobi-Lie systems: fundamentals and low-dimensional classification
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superposition rules and second-order Riccati equations
- A geometric approach to integrability of Abel differential equations
- Liénard and Riccati differential equations related via Lie algebras
- Euler equations on finite dimensional Lie algebras arising in physical problems
- Group theoretical approach to superposition rules for systems of Riccati equations
- Construction of exact invariants for time-dependent classical dynamical systems
- Lie-theoretical generalization and discretization of the Pinney equation
- \(N\)-dimensional classical integrable systems from Hopf algebras
- Superposition rules, Lie theorem, and partial differential equations
- Superposition rules for higher order systems and their applications
- PERIODIC FIRST INTEGRALS FOR HAMILTONIAN SYSTEMS OF LIE TYPE
- A NEW LIE–SYSTEMS APPROACH TO SECOND-ORDER RICCATI EQUATIONS
- Integrability in time-dependent systems with one degree of freedom
- Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
- Perturbative quantum corrections and flux compactifications
- Phase splitting for periodic Lie systems
- Quasi-Lie schemes and Emden–Fowler equations
- Quantal phase factors accompanying adiabatic changes
- Solutions of some second order ODEs by the extended Prelle-Singer method and symmetries
- Quasi-Lie schemes: theory and applications
- The Painlevé property for partial differential equations
- A class of second-order differential equations and related first-order systems
- On higher-order Riccati equations as Bäcklund transformations
- Dynamical Noether invariants for time-dependent nonlinear systems
- A systematic construction of completely integrable Hamiltonians from coalgebras
- The structure of the invariants of perfect Lie algebras
- On Poisson Realizations of Transitive Lie Algebroids
- Reduction of time-dependent systems admitting a superposition principle
