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© 2018

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
Book

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

Introduction

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. 



Keywords

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

About the editors

Juan F. R. Archilla:
 
Prof. Juan F.R. Archilla obtained his PhD in Physics in 1992 in the Department of Atomic, Molecular and Nuclear Physics of the University of Sevilla, Spain.  Presently he is professor in the Department of Applied Physics I of the University of Sevilla, Spain. His lectures in Mechanics and Electromagnetism take place at the Higher Technical School of Computer Engineering in the degrees of Health Engineering and Computer Engineering.

His research has been in different aspects of Nonlinear Science, some more theoretical  as symmetry and bifurcation theory with application to  reaction diffusion systems and some more applied as localized nonlinear waves, reaction rate theory, defects in semiconductors and breathers and kinks in crystals and biological systems as DNA and proteins; or neutron spectroscopy of nonlinear vibrations.  Lately he has been involved in experiments to detect nonlinear excitations. He is  the head of the Research Group of Nonlinear Physics of the University of Sevilla and member of the European Physical Association.  He is a frequent referee in international journals, including Springer journals.

Prof. Archilla has been guest researcher in several universities as Freie Univerität in Berlin; Cambridge and Heriot-Watt Universities in the UK;  Denmark Technical University in Lyngby, Denmark; LADIR (CNRS) in Paris, France;  Tartu University in Estonia; and Osaka University in Japan.  He participated in experimental work in the ISIS spallation neutron source  at the Rutherford Appleton Laboratory in the UK. He has taken part in the organization of several international conferences, the most recent ones in Altea (Spain, 2013, as chairman); Ufa (Russia, 2015) and Sevilla (Spain, 2016) and the next one to be held in Kyoto (Japan, 2018). 
Prof. Archilla has written about 60 scientific publications in international journals and books. He has been the main editor of a recent volume  in Springer Series in Materials Science: Quodons in Mica, Nonlinear Localized Travelling Excitations in Crystals (2015). Some relevant articles in journals are: Nonlinear charge transport mechanism in periodic and disordered DNA, Physica D (2003), where DNA was proposed as a biological wire; Demonstration of the stability or instability of multibreathers at low coupling, Physica D (2003), with a new theoretical approach to multibreather stability; Discrete breathers for understanding reconstructive mineral processes at low temperature, Physica D (2006) which opened the field of the influence of breathers in reaction kinetics; Long range annealing of defects in germanium by low energy plasma ions, Physica D (2015) with experimental work on the annealing effect of nonlinear excitations; On the charge of quodons, Letters on Materials (2016) on the different types and charge of nonlinear excitations triggered by 40K decay in layered silicates.  In preparations is an article describing experimental evidence of charge transport by nonlinear excitations.  

Faustino Palmero :

Prof. Faustino Palmero obtained his PhD in Physics in 1997 in the Department of Atomic, Molecular and Nuclear Physics of the University of Sevilla, Spain.  Presently he is the head of the Department of Applied Physics I of the University of Sevilla Spain. His lectures in Mechanics and Electromagnetism take place at the Higher Technical School of Computer Engineering in the degrees of Health Engineering and Computer Engineering. 
 
His research has been in different aspects of Nonlinear Science, some more theoretical  as symmetry and bifurcation theory with application to  reaction diffusion systems or control of chaos in nonlinear oscillators and some more applied as localized nonlinear waves.  He is an active member of the Group of Nonlinear Physics of the University of Sevilla.  He is a frequent referee for international journals.
 
Prof. Palmero has been guest researcher in several universities as Heriot-Watt University in the UK and San Diego State University and Dickinson College in USA.   He has taken part in the organization of several international conferences, the most recent one in  Sevilla  as chairman (Spain, 2016).
 
Prof. Palmero is author of many scientific publications in international journals and books.  The most recent ones (2016) are: K. L. Joiner, F. Palmero, R. Carretero-González. Optoelectronic Chaos in a Simple Light Activated Feedback Circuit. International Journal of Bifurcation and Chaos Vol. 26, No. 05, 1650080 (2016);  R. Chacón, F. Palmero, and J. Cuevas-Maraver. Impulse-induced localized control of chaos in starlike networks. Phys. Rev. E 93, 062210 (2016); F. Palmero, J. Han, L.Q. English, T.J. Alexander, P.G. Kevrekidis. Multifrequency and edge breathers in the discrete sine-Gordon system via subharmonic driving: Theory, computation and experiment. Physics Letters A. Volume 380, Issue 3, 28: 402–407  (2016).

M. Carmen Lemos :

Prof. M. Carmen Lemos obtained her PhD in Physics in 1992 in the Department of Condensed Matter Physics of the University of Sevilla, Spain.  Presently, she is a professor in that department and her lectures in Physics take place at the Faculty of Biology in the degree of Biology, as well as at the Faculty of Physics in the degrees of Physics, Physics and Mathematics, and Physics and Material Engineering.
 
Prof. Lemos is the head of the Research Group on Non-Linear Phenomena of the University of Sevilla. Her research is framed within the theory of complex systems and tackles different problems of Nonlinear Science as physical chemistry of surfaces (adsorption phenomena and heterogeneous catalysis) and modeling of genetic and transcriptional networks associated with developmental biology.
 
She has participated as a referee in international journals, including Springer journals as Catalysis Letters. She has taken part in the organization of the international conference on nonlinear mathematics and physics held in Sevilla (Spain, 2016).
 
Prof. Lemos is the author of many scientific publications in international journals and books. Some publications of the last years are:  M.C. Lemos,  F.E.  Gálvez, and  A. Córdoba, Study and control of the N2O + H2 reaction on Ir(110) by Monte Carlo simulations, Cybernetics and Physics, 1: 169 (2012); D. Aguilar-Hidalgo, M.C. Lemos, and A. Córdoba, Monte Carlo simulation for the formation of subsurface oxygen on Pt(100) and its elimination by CO oxidation, Surface Science, 607:203 (2013);  D. Aguilar-Hidalgo, A. Córdoba,  and M.C Lemos, Complex networks evolutionary dynamics using genetic algorithms, International Journal of Bifurcation and Chaos, 22: 1250156 (2012); D. Aguilar-Hidalgo, M.A. Domínguez-Cejudo, G. Amore, A. Brockmann, M.C. Lemos, A. Córdoba. and F.  Casares, A Hh-driven gene network controls specification, pattern and size of the Drosophila simple eyes, Development, 140: 82 (2013); D. Aguilar-Hidalgo, M.C. Lemos, and A. Córdoba, Core regulatory network motif underlies the ocellar complex patterning in Drosophila melanogaster,  Physica D, 295:91 (2015).

Bernardo Sánchez-Rey :

Prof. Bernardo Sánchez-Rey obtained his PhD in Physics in 1997 in the Department of Atomic, Molecular and Nuclear Physics of the University of Sevilla, Spain. Presently he is professor in the Department of Applied Physics I of the University of Sevilla, Spain. His lectures in Mechanics and Electromagnetism take place at the Higher Polytechnic School in the degrees of Mechanical  Engineering and Electronic Engineering.
 
Initially his research was in the field of Statistical Mechanics. For nine years he worked on different topics related with glass behavior and the properties of granular materials. Since 2001 he is an active member of the Group of Nonlinear Physics of the University of Sevilla and his research is mainly focused on the study of localized excitations in nonlinear systems
 
Prof. Sánchez-Rey has been guest researcher in the University Paul Sabatier in Toulouse, France; and in the University College London. He has been member of the organizing committee of several international conferences, the most recent in Sevilla, Spain, in 2016.

Jesús Casado-Pascual :

Prof. Jesús Casado-Pascual obtained his PhD  in Physics in 1996 in the Department of Atomic, Molecular and Nuclear Physics of the University of Sevilla, Spain.  Presently, he is professor in the Section of Theoretical Physics of that Department. His lectures in Mechanics and Mathematical Physics take place at the Faculties of Mathematics and Physics, respectively, in the degrees of Mathematics and Physics.
 
His research has been focused on topics such as: nonlinear stochastic dynamical systems; stochastic resonance; classical and quantum stochastic synchronization; ratchet effect; relaxation and coherence in dissipative quantum systems; charge transfer kinetics; and relativistic thermodynamics. He is an active member of the Group of Applied Classical and Quantum Stochastic Dynamics of the University of Seville.  He is a frequent referee in several international scientific journals.
 
Prof. Casado-Pascual has been guest researcher in the Institute of Physics of the University of Augsburg and in the University College London. He has been member of the organizing committee of several international conferences, the most recent in Seville, Spain, in 2016.

Prof. Casado-Pascual is author of many scientific publications in international journals. Some of the most recent are: B. Sánchez-Rey, J. Casado-Pascual, and N. R. Quintero, Kink ratchet induced by a time-dependent symmetric field potential, Physical Review E 94: 012221 (2016) (Editor's suggestion); J. Casado-Pascual, J. A. Cuesta, N. R. Quintero, and R. Alvarez-Nodarse, General approach for dealing with dynamical systems with spatiotemporal periodicities, Physical Review E 90: 022905 (2015); D. Cubero, J. Casado-Pascual, and F. Renzoni, Irrationality and Quasiperiodicity in Driven Nonlinear Systems, Physical Review Letters 112: 174102 (2014); J. Casado-Pascual, D. Cubero, and F. Renzoni, Universal asymptotic behavior in nonlinear systems driven by a two-frequency forcing, Physical Review E  88: 062919 (2013).


Bibliographic information