Breathers on diatomic Fermi-Pasta-Ulam lattices
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Publication:1886982
DOI10.1016/j.physd.2004.05.005zbMath1081.82003OpenAlexW2152908049MaRDI QIDQ1886982
Publication date: 23 November 2004
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2004.05.005
Quantum optics (81V80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
Related Items (11)
On the periodic orbits of four-particle time-dependent FPU chains ⋮ Breathers in oscillator chains with Hertzian interactions ⋮ The monoatomic FPU system as a limit of a diatomic FPU system ⋮ Discrete breathers of nonlinear dimer lattices: bridging the anti-continuous and continuous limits ⋮ Breather solutions in periodic media ⋮ Center Manifold Theory in the Context of Infinite One-Dimensional Lattices ⋮ On intense energy exchange and localization in periodic FPU dimer chains ⋮ Localized waves in nonlinear oscillator chains ⋮ BREATHERS IN INHOMOGENEOUS NONLINEAR LATTICES: AN ANALYSIS VIA CENTER MANIFOLD REDUCTION ⋮ Approximation of Polyatomic FPU Lattices by KdV Equations ⋮ Stability of discrete breathers in nonlinear Klein-Gordon type lattices with pure anharmonic couplings
Cites Work
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- The finite-dimensional reversible KAM theory
- Existence theorem for solitary waves on lattices
- Multibump periodic motions of an infinite lattice of particles
- Exponentially small splitting of separatrices for perturbed integrable standard-like maps
- Centre manifold reduction for quasilinear discrete systems
- Travelling waves in a chain of coupled nonlinear oscillators
- Wave-solutions of reversible systems and applications
- Existence and numerical approximation of periodic motions of an infinite lattice of particles
- Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps
- 1:2 Resonance Mediated Second Harmonic Generation in a 1-D Nonlinear Discrete Periodic Medium
- Existence of breathers on FPU lattices
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Breathers on a diatomic FPU chain
- Travelling waves in the Fermi-Pasta-Ulam lattice
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Discretization of homoclinic orbits, rapid forcing and “invisible” chaos
- Periodic motions of an infinite lattice of particles with nearest neighbor interaction
- Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.
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