Energy dissipation in Hamiltonian chains of rotators
DOI10.1088/1361-6544/aa85d6zbMath1456.37065arXiv1702.06464OpenAlexW3105648690MaRDI QIDQ4597514
Noé Cuneo, C. Eugene Wayne, Jean-Pierre Eckmann
Publication date: 13 December 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06464
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Related Items (4)
Cites Work
- Unnamed Item
- Transport properties of a chain of anharmonic oscillators with random flip of velocities
- Normal form construction for nearly-integrable systems with dissipation
- Nonequilibrium energy profiles for a class of 1-D models
- Small divisors with spatial structure in infinite dimensional Hamiltonian systems
- Perturbative analysis of anharmonic chains of oscillators out of equilibrium
- Quasi-periodic attractors in celestial mechanics
- How hot can a heat bath get?
- Stability of motions near resonances in quasi-integrable Hamiltonian systems
- Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
- Entropy production in nonlinear, thermally driven Hamiltonian systems
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- Exponential convergence to non-equilibrium stationary states in classical statistical mechanics
- Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators.
- A property of exponential stability in nonlinear wave equations near the fundamental linear mode
- On the relaxation rate of short chains of rotors interacting with Langevin thermostats
- A KAM theory for conformally symplectic systems: efficient algorithms and their validation
- Non-equilibrium steady states for chains of four rotors
- STABILITY OF NEARLY-INTEGRABLE SYSTEMS WITH DISSIPATION
- Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations
- Interacting vortex pairs in inviscid and viscous planar flows
- Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors
- Asymptotic Localization of Energy in Nondisordered Oscillator Chains
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
- Complex analysis and convolution operators
- Hamiltonian perturbation theory: periodic orbits, resonances and intermittency
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
- Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
- Slow energy dissipation in anharmonic oscillator chains
- Asymptotic behavior of thermal nonequilibrium steady states for a driven chain of anharmonic oscillators
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