Tame topology and non-integrability of dynamical systems
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Publication:6621128
DOI10.4064/bc128-6MaRDI QIDQ6621128
Rouzbeh Mohseni, Zbigniew Hajto
Publication date: 17 October 2024
Differential algebra (12H05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
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- Real and \(p\)-adic Picard-Vessiot fields
- Nonintegrability of dynamical systems with homo- and heteroclinic orbits
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Galoisian obstructions to non-Hamiltonian integrability
- Galoisian obstructions to integrability of Hamiltonian systems. II.
- Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
- Semianalytic and subanalytic sets
- Extended integrability and bi-Hamiltonian systems
- On a Galoisian approach to the splitting of separatrices
- Galoisian obstructions to integrability of Hamiltonian systems. I.
- Differential Galois theory and non-integrability of planar polynomial vector fields
- Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers
- Liouville's theorem on functions with elementary integrals
- Real Liouvillian extensions of partial differential fields
- Picard-Vessiot Extensions of Real Differential Fields
- Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
- The Pfaffian closure of an o-minimal structure
- Complexity in spatio-temporal dynamics
- Nonintegrability of the unfoldings of codimension-two bifurcations
- Real Liouville Extensions
- DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY
- Proof of the gradient conjecture of R. Thom.
- Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two
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