Nonlinear Systems, Vol. 2

Nonlinear Phenomena in Biology, Optics and Condensed Matter

  • Juan F. R. Archilla
  • Faustino Palmero
  • M. Carmen Lemos
  • Bernardo Sánchez-Rey
  • Jesús Casado-Pascual

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Biology

    1. Front Matter
      Pages 1-1
    2. Daniel Aguilar-Hidalgo, Fernando Casares, M. Carmen Lemos
      Pages 39-62
    3. Alberto Pérez-Cervera, Gemma Huguet, Tere M-Seara
      Pages 63-81
  3. Optics

    1. Front Matter
      Pages 83-83
    2. Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro
      Pages 85-110
    3. Miguel A. Porras, Carlos Ruiz-Jiménez, Márcio Carvalho
      Pages 111-138
    4. José R. Salgueiro, Albert Ferrando
      Pages 139-171
  4. Crystals, Metamaterials and Other Condensed Matter

    1. Front Matter
      Pages 173-173
    2. Sergey V. Dmitriev, Julia A. Baimova, Elena A. Korznikova, Alexander P. Chetverikov
      Pages 175-195
    3. Yuriy A. Kosevich, Olena Yu. Tkachenko, Eugenii S. Syrkin
      Pages 221-240
    4. Ahmed Mehrem, Luis J. Salmerón-Contreras, Noé Jiménez, Víctor J. Sánchez-Morcillo, Rubén Picó, Luis M. García-Raffi et al.
      Pages 261-282
    5. Pavel A. Selyshchev, Pavel M. Bokov
      Pages 283-314
    6. Yaroslav Zolotaryuk, Ivan O. Starodub
      Pages 315-334
  5. Back Matter
    Pages 335-340

About this book


This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many  new developments.

While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science, this second volume deals with nonlinear excitations in several fields. These excitations can be localized and transport energy and matter in the form of breathers, solitons, kinks or quodons with very different characteristics, which are discussed in the book. They can also transport electric charge, in which case they are known as polarobreathers or solectrons. Nonlinear excitations can influence function and structure in biology, as for example, protein folding. In crystals and other condensed matter, they can modify transport properties, reaction kinetics and interact with defects. There are also engineering applications in electric lattices, Josephson junction arrays, waveguide arrays, photonic crystals and optical fibers. Nonlinear excitations are inherent to Bose-Einstein Condensates, constituting an excellent benchmark for testing their properties and providing a pathway for future discoveries in fundamental physics. 


nonlinear phenomena in biology protein folding nonlinear waves in condensed matter energy and charge transport Bose-Einstein condensates patterning dynamics phases in neural communication bosonic condensates nonlinear localized modes

Editors and affiliations

  • Juan F. R. Archilla
    • 1
  • Faustino Palmero
    • 2
  • M. Carmen Lemos
    • 3
  • Bernardo Sánchez-Rey
    • 4
  • Jesús Casado-Pascual
    • 5
  1. 1.Departamento de Fisica Aplicada I, ETSI InformáticaUniversidad de SevillaSevillaSpain
  2. 2.Departamento de Fisica Aplicada I, ETSI InformáticaUniversidad de SevillaSevillaSpain
  3. 3.Departamento de Física de la Materia CondensadaUniversidad de SevillaSevillaSpain
  4. 4.Departamento de Fisica Aplicada I, EPSUniversidad de SevillaSevillaSpain
  5. 5.Departamento de Física Atómica, Molecular y NuclearUniversidad de SevillaSevillaSpain

Bibliographic information