Nonintegrability of dynamical systems with homo- and heteroclinic orbits
From MaRDI portal
Publication:526004
DOI10.1016/j.jde.2017.03.006zbMath1379.37113OpenAlexW2595758916MaRDI QIDQ526004
Shogo Yamanaka, Kazuyuki Yagasaki
Publication date: 8 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.006
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (6)
Integrability of the Zakharov-Shabat systems by quadrature ⋮ Integrability analysis of the stretch-twist-fold flow ⋮ Nonintegrability of the unfolding of the fold-Hopf bifurcation ⋮ Nonintegrability of parametrically forced nonlinear oscillators ⋮ Differential Galois integrability obstructions for nonlinear three-dimensional differential systems ⋮ Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Picard-Vessiot theory and integrability
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Galoisian obstructions to non-Hamiltonian integrability
- Extended integrability and bi-Hamiltonian systems
- Picard-Vessiot theory and Ziglin's theorem
- Nonintegrability of some Hamiltonian systems, scattering and analytic continuation
- On a Galoisian approach to the splitting of separatrices
- Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers
- Galoisian obstructions to integrability of Hamiltonian systems. I.
- Non-integrability of ABC flow
- Non-integrability criterium for normal variational equations around an integrable subsystem and an example: the Wilberforce spring-pendulum
- Non-integrability of the Karabut system
- On a class of steady confined Stokes flows with chaotic streamlines
- Picard-Vessiot Extensions of Real Differential Fields
- Differential Galois Theory of Algebraic Lie-Vessiot Systems
- Change of the adiabatic invariant at a separatrix in a volume-preserving 3D system
- Geometric and statistical properties induced by separatrix crossings in volume-preserving systems
- Galoisian obstructions to integrability and Melnikov criteria for chaos in two-degree-of-freedom Hamiltonian systems with saddle centres
- Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow
- Meromorphic non-integrability of a steady Stokes flow inside a sphere
- Differential Galois theory and non-integrability of Hamiltonian systems
This page was built for publication: Nonintegrability of dynamical systems with homo- and heteroclinic orbits