Aubry-Mather theory for contact Hamiltonian systems. II
From MaRDI portal
Publication:2070874
DOI10.3934/dcds.2021128OpenAlexW3199715351MaRDI QIDQ2070874
Lin Wang, Jun Yan, Kaizhi Wang
Publication date: 24 January 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.07088
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21) Contact systems (37J55)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Weak KAM theory for Hamilton-Jacobi equations depending on unknown functions
- Convergence of the solutions of the discounted equation: the discrete case
- Limit of the infinite horizon discounted Hamilton-Jacobi equation
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Selection problems for a discount degenerate viscous Hamilton-Jacobi equation
- Symplectic aspects of Mather theory
- Action minimizing invariant measures for positive definite Lagrangian systems
- Variational construction of connecting orbits
- Weak KAM theory for discounted Hamilton-Jacobi equations and its application
- Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior
- Variational principle for contact Hamiltonian systems and its applications
- Aubry-Mather theory for contact Hamiltonian systems
- The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases
- Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
- On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem
- Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
- On the vanishing discount problem from the negative direction
- Convergence of viscosity solutions of generalized contact Hamilton-Jacobi equations
- Infinitesimal symmetries in contact Hamiltonian systems
- Herglotz' variational principle and Lax-Oleinik evolution
- Generalized ergodic problems: existence and uniqueness structures of solutions
- Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
- The vanishing discount problem and viscosity Mather measures. 1: The problem on a torus
- The vanishing discount problem and viscosity Mather measures. II: Boundary value problems
- Selection problems of \({{\mathbb {Z}}}^2\)-periodic entropy solutions and viscosity solutions
- Aubry-Mather theory for conformally symplectic systems
- A variational principle for contact Hamiltonian systems
- Contact Hamiltonian mechanics
- Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function
- Implicit variational principle for contact Hamiltonian systems
- Generalized Mather problem and selection principles for viscosity solutions and mather measures
- The dynamics of pseudographs in convex Hamiltonian systems
- Viscosity Solutions of Hamilton-Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Lagrangian flows: The dynamics of globally minimizing orbits
- Lagrangian flows: The dynamics of globally minimizing orbits-II
- Contact Hamiltonian systems
- Contact geometry and thermodynamics
- Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems
- Vanishing contact structure problem and convergence of the viscosity solutions
- Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
This page was built for publication: Aubry-Mather theory for contact Hamiltonian systems. II
