On transversal connecting orbits of Lagrangian systems in a nonstationary force field: the Newton-Kantorovich approach
DOI10.1134/S1560354719040038zbMath1431.37050arXiv1904.01440OpenAlexW3106005999MaRDI QIDQ2293648
Publication date: 5 February 2020
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.01440
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic stability and associated problems of dynamics of falling rigid body
- Periodic and heteroclinic orbits for a periodic Hamiltonian system
- Heteroclinic solutions for a class of the second order Hamiltonian systems
- Asymptotic solutions of equations of dynamics
- Geometric singular perturbation theory for ordinary differential equations
- Global bifurcations and chaos. Analytical methods
- The Hopf-Rinow theorem in infinite dimension
- On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems
- Doubly asymptotic trajectories of Lagrangian systems in homogeneous force fields
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- Connecting orbits near the adiabatic limit of Lagrangian systems with turning points
- Connecting orbits of Lagrangian systems in a nonstationary force field
- Homoclinic shadowing
- Morse theory on Hilbert manifolds
- Homologie singulière des espaces fibrés. Applications
- The Hopf-Rinow Theorem is false in infinite Dimensions
- On the existence of homoclinic orbits on Riemannian manifolds
- An averaging method for Hamiltonian systems, exponentially close to integrable ones
- Splitting of separatrices: perturbation theory and exponential smallness
- An approach to arnold's diffusion through the calculus of variations
- The geometry of loop spaces I: Hs-Riemannian metrics
- Hilbert Manifolds Without Epiconjugate Points
- Condition $\left( {\text{C}} \right)$ and geodesics on Sobolev manifolds
- Heteroclinic solutions between stationary points at different energy levels
This page was built for publication: On transversal connecting orbits of Lagrangian systems in a nonstationary force field: the Newton-Kantorovich approach
