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Dynamics of Oscillator Chains (Q3529217)

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Language	Label	Description	Also known as
English	Dynamics of Oscillator Chains	scientific article

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scholarly article

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Dynamics of Oscillator Chains (English)

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zbMATH Open document ID

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10.1007/978-3-540-72995-2_2

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Allan J. Lichtenberg

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The Fermi-Pasta-Ulam Problem

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publication date

20 October 2008

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-540-72995-2_2

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Nonlinear Coupled Oscillators. II. Comparison of Theory with Computer Solutions

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Regular and chaotic dynamics.

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Integrals of the Toda lattice

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Curvature and mechanics

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Ergodic and topological properties of coulombic periodic potentials

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Geometry of spaces with the Jacobi metric

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How fast can a galaxy ``mix''?

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Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor

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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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Those ubiquitous, but oft unstable, lattice solitons

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Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I

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Chaos and the approach to equilibrium in a discrete sine-Gordon equation

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Exponentially long times to equipartition in the thermodynamic limit

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Low-energy chaos in the Fermi - Pasta - Ulam problem

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Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices

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Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization

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Exact solutions in the FPU oscillator chain

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Bushes of vibrational modes for Fermi-Pasta-Ulam chains

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Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains

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Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice

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The disintegration of wave trains on deep water Part 1. Theory

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Chaotic breather formation, coalescence, and evolution to energy equipartition in an oscillatory chain

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Stability of an oscillator chain from high-frequency initial conditions

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Dynamics of oscillator chains from high frequency initial conditions: Comparison of ϕ4 and FPU-β models

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Finite size effects on instabilities of discrete breathers

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On the problem of energy equipartition for large systems of the Fermi- Pasta-Ulam type: Analytical and numerical estimates

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The Kolmogorov legacy in physics. Transl. from the 2003 French original

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Ergodic theory of chaos and strange attractors

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Distribution of characteristic exponents in the thermodynamic limit

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Liapunov spectra for infinite chains of nonlinear oscillators.

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A REMARK CONCERNING THE THERMODYNAMICAL LIMIT OF THE LYAPUNOV SPECTRUM

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Stages of energy transfer in the FPU model

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The anti-FPU problem

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The Fermi–Pasta–Ulam problem: Fifty years of progress

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Hamiltonian dynamics of the two-dimensional lattice model

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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On the Riemannian description of chaotic instability in Hamiltonian dynamics

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Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics.

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Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory

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Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.

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Self-consistent check of the validity of Gibbs calculus using dynamical variables.

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One-Dimensional Plasma Model

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Bulk properties of anharmonic chains in strong thermal gradients: non-equilibrium \(\phi^4\) theory

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Mathematics(1 entry)

mardi Publication:3529217

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