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Publications Influence

On Metastability in FPU

- D. Bambusi, A. Ponno
- Mathematics
- 26 January 2006

We present an analytical study of the Fermi–Pasta–Ulam (FPU) α–model with periodic boundary conditions. We analyze the dynamics corresponding to initial data with one low frequency Fourier mode… Expand

93 2

Time-Scales to Equipartition in the Fermi–Pasta–Ulam Problem: Finite-Size Effects and Thermodynamic Limit

- G. Benettin, A. Ponno
- Mathematics
- 5 August 2011

We investigate numerically the common α+β and the pure β FPU models, as well as some higher order generalizations. We consider initial conditions in which only low-frequency normal modes are excited,… Expand

53 2- PDF

Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam.

- A. Ponno, D. Bambusi
- Mathematics, Medicine
- Chaos
- 28 March 2005

We address the problem of equipartition in a long Fermi-Pasta-Ulam (FPU) chain. After giving a precise relation between FPU and Korteweg-de Vries we use the latter equation to show that,… Expand

37 2

The nonlinear Schrödinger equation as a resonant normal form

- D. Bambusi, A. Carati, A. Ponno
- Mathematics
- 1 November 2001

Averaging theory is used to study the dynamics of dispersive equations
taking the nonlinear Klein Gordon equation on the line as a model problem:
For approximatively monochromatic initial data of… Expand

21 1

The Fermi–Pasta–Ulam problem: Periodic orbits, normal forms and resonance overlap criteria

Abstract Fermi, Pasta and Ulam observed that the excitation of a low frequency normal mode in a nonlinear acoustic chain leads to localization in normal mode space on large time scales. Fast… Expand

28 1- PDF

The Fermi–Pasta–Ulam Problem and Its Underlying Integrable Dynamics: An Approach Through Lyapunov Exponents

- G. Benettin, S. Pasquali, A. Ponno
- Mathematics, Physics
- 16 January 2018

FPU models, in dimension one, are perturbations either of the linear model or of the Toda model; perturbations of the linear model include the usual $$\beta $$β-model, perturbations of Toda include… Expand

9 1- PDF

The Fermi-Pasta-Ulam Problem and Its Underlying Integrable Dynamics

- G. Benettin, H. Christodoulidi, A. Ponno
- Mathematics
- 11 May 2013

This paper is devoted to a numerical study of the familiar α+β FPU model. Precisely, we here discuss, revisit and combine together two main ideas on the subject: (i) In the system, at small specific… Expand

61

Energy localization in the Peyrard-Bishop DNA model.

- J. De Luca, E. Drigo Filho, A. Ponno, J. R. Ruggiero
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 14 May 2004

We study energy localization on the oscillator chain proposed by Peyrard and Bishop to model DNA. We search numerically for conditions with initial energy in a small subgroup of consecutive… Expand

23- PDF

The two-stage dynamics in the Fermi-Pasta-Ulam problem: from regular to diffusive behavior.

- A. Ponno, H. Christodoulidi, Ch Skokos, S. Flach
- Mathematics, Medicine
- Chaos
- 13 July 2011

A numerical and analytical study of the relaxation to equilibrium of both the Fermi-Pasta-Ulam (FPU) α-model and the integrable Toda model, when the fundamental mode is initially excited, is… Expand

31- PDF

Soliton theory and the Fermi-Pasta-Ulam problem in the thermodynamic limit

- A. Ponno
- Physics
- 1 December 2003

We reconsider the Fermi-Pasta-Ulam problem from the point of view of soliton theory along the lines of the original work of Zabusky and Kruskal, but with attention to the thermodynamic limit. For a… Expand

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