Existence of 'breathers', that is, time-periodic, spatially localized solutions, is proved for a broad range of time-reversible or Hamiltonian networks of weakly coupled oscillators. Some of their properties are discussed, some generalizations suggested, and several open questions raised.
Nonlinearity Template
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About the Nonlinearity format
Nonlinearity is a peer-reviewed journal published by IOP Publishing, covering Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems, Nonlinear Waves and Solitons. Over its lifetime it has published 5,553 papers, which have received 128,315 citations.
| Publisher | IOP Publishing |
|---|---|
| Reference style | Numbered (IOP) Numbered — [1], [2] in the text [1] Smith A, Jones B and Lee C 2023 A representative article title Nonlinearity 12 45–58
Formats any DOI in Nonlinearity style. No sign-up. |
| Publishes research in | Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Nonlinear Dynamics and Pattern Formation |
| ISSN | 0951-7715 |
| Citation impact (2-yr) | 1.55 |
| h-index | 130 |
| i10-index | 2,810 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | iopscience.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Nonlinearity per year
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Most-cited papers in Nonlinearity
A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually coexists with a stable spatially symmetric state, has intrigued the nonlinear dynamics community since its discovery in the early 2000s. Recent experiments have led to increasing interest…
The formation of strong and potentially singular fronts in a two-dimensional quasigeostrophic active scalar is studied through the symbiotic interaction of mathematical theory and numerical experiments. This active scalar represents the temperature evolving on the two dimensional boundary of a rapidly rotating half space with small Rossby and Ekman numbers and constant potential vorticity. The…
A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be an integrable infinite dimensional Hamiltonian evolution equation. In this paper a detailed study of the inverse scattering transform of this nonlocal NLS equation is carried out. The direct and inverse scattering problems are analyzed. Key symmetries of the eigenfunctions and scattering data…
Despite major scientific, medical and technological advances over the last few decades, a cure for cancer remains elusive. The disease initiation is complex, and including initiation and avascular growth, onset of hypoxia and acidosis due to accumulation of cells beyond normal physiological conditions, inducement of angiogenesis from the surrounding vasculature, tumour vascularization and further growth,…