Quasi-periodic breathers in granular chains with Hertzian contact potential
DOI10.1007/s00332-023-09950-wzbMath1527.37081MaRDI QIDQ6052953
Jiansheng Geng, Yingfei Yi, Chuanfang Ge
Publication date: 25 September 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) 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) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Cites Work
- Unnamed Item
- Unnamed Item
- KAM for autonomous quasi-linear perturbations of mKdV
- Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators
- Breathers in oscillator chains with Hertzian interactions
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- On metastability in FPU
- Quasi-periodic breathers in Hamiltonian networks of long-range coupling
- Anomalous thermostat and intraband discrete breathers
- Perturbations of lower dimensional tori for Hamiltonian systems
- Construction of quasi-periodic breathers via KAM technique
- Quasiperiodic breathers in Hamiltonian lattices with symmetries
- KAM theory in configuration space
- Moser's theorem for lower dimensional tori
- Anti-integrability in dynamical and variational problems
- Quasi-periodic solutions for a nonlinear wave equation
- On the stability of periodic multi-solitons of the KdV equation
- Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms
- Linear instability of breathers for the focusing nonlinear Schrödinger equation
- Size effects in adhesive contacts of viscoelastic media
- Breathers in a locally resonant granular chain with precompression
- Quasi-periodic solutions for the derivative nonlinear Schrödinger equation with finitely differentiable nonlinearities
- Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
- A Nash-Moser Approach to KAM Theory
- Integrability of hamiltonian systems on cantor sets
- Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
- Generalized implicit function theorems with applications to some small divisor problems, I
- Generalized implicit function theorems with applications to some small divisor problems, II
- A KAM theorem for Hamiltonian networks with long ranged couplings
- Traveling fronts in dissipative granular chains and nonlinear lattices
- Quasi-periodic breathers in Newton’s cradle
- Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.
This page was built for publication: Quasi-periodic breathers in granular chains with Hertzian contact potential