On the dynamics of contact Hamiltonian systems: I. Monotone systems

DOI10.1088/1361-6544/abe833zbMath1465.35110arXiv2008.03442OpenAlexW3160276944MaRDI QIDQ4990899

Jun Yan, Liang Jin

Publication date: 1 June 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03442

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutioncontact Hamiltonian systemmaximal attractor (repeller)

Mathematics Subject Classification ID

Attractors (35B41) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Contact systems (37J55)

Cites Work

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• Weak KAM theory for Hamilton-Jacobi equations depending on unknown functions
• Convergence of the solutions of the discounted equation: the discrete case
• Local behavior near quasi-periodic solutions of conformally symplectic systems
• Limit of the infinite horizon discounted Hamilton-Jacobi equation
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• On the concept of attractor
• On the concept of attractor: correction and remarks
• Existence d'orbites quasi-périodiques dans les attracteurs de Birkhoff. (Existence of quasiperiodic orbits in Birkhoff attractors)
• Lectures on partial differential equations
• Variational principle for contact Hamiltonian systems and its applications
• Aubry-Mather theory for contact Hamiltonian systems
• Herglotz' variational principle and Lax-Oleinik evolution
• Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
• Aubry-Mather theory for conformally symplectic systems
• A KAM theory for conformally symplectic systems: efficient algorithms and their validation
• Contact Hamiltonian mechanics
• A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
• Implicit variational principle for contact Hamiltonian systems
• Periodic orbits for dissipative twist maps
• Viscosity Solutions of Hamilton-Jacobi Equations
• Propriétés des attracteurs de Birkhoff
• Vanishing contact structure problem and convergence of the viscosity solutions
• Theory of Transformation Groups I

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