Complex dynamics of some Hamiltonian systems: nonintegrability of equations of motion
DOI10.1155/2019/9326947zbMath1415.37079OpenAlexW2918869082MaRDI QIDQ2425134
Publication date: 26 June 2019
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/9326947
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)
Cites Work
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- Non-integrability of the three-body problem
- Non-integrability of the dumbbell and point mass problem
- Galoisian obstruction to the integrability of general dynamical systems
- Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
- Galoisian obstructions to non-Hamiltonian integrability
- Galoisian approach to integrability of Schrödinger equation
- Meromorphic nonintegrability of Hamiltonian systems
- Oscillators in resonance \(p\):\(q\):\(r\)
- Non-integrability of some Hamiltonians with rational potentials
- Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
- An algorithm for solving second order linear homogeneous differential equations
- Periodic trajectories for a two-dimensional nonintegrable Hamiltonian
- The calculation of periodic trajectories
- Non-integrability of the truncated Toda lattice Hamiltonian at any order
- Picard-Vessiot theory and Ziglin's theorem
- Non-existence of new meromorphic first integrals in the planar three-body problem
- Numerical evidence of nonintegrability of certain Lie-Poisson system
- 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 generalized Yang-Mills Hamiltonian system
- Non-integrability of some few body problems in two degrees of freedom
- Non-integrability of restricted double pendula
- The meromorphic non-integrability of the three-body problem
- Integrability and non-integrability in Hamiltonian mechanics
- Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling
- Periodic orbits of nonscaling Hamiltonian systems from quantum mechanics
- Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas
- Algebraic proof of the non-integrability of Hill's problem
- Differential Galois theory and non-integrability of Hamiltonian systems
- Searching for integrable systems. An application of Kozlov theorem
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