David J. Bergman,
Esin Inan
Springer Netherlands
0e druk, 2004
9781402023156
Continuum Models and Discrete Systems
Specificaties
Paperback, 426 blz.
|
Engels
Springer Netherlands |
0e druk, 2004
ISBN13: 9781402023156
Rubricering
Onderdeel van serie
NATO Science Series II: Mathematics, Physics and Chemistry
Levertijd ongeveer 8 werkdagen
Samenvatting
The Tenth International Symposium on Continuum Models and Discrete Systems (CMDSIO) took place at the Shoresh Holiday Complex in Shoresh, Israel, near the Capital City Jerusalem, from 30 June until 4 July 2003. The previous symposia in this series were: CMDS 1 (Kielce, Poland, 1975) CMDS2 (Mont Gabriel, Canada, 1977) CMDS3 (Freudenstadt, German Federal Republic, 1979) CMDS4 (Stockholm, Sweden, 1981) CMDS5 (Nottingham, England, 1985) CMDS6 (Dijon, France, 1989) CMDS7 (Paderborn, Germany, 1992) CMDS8 (Varna, Bulgaria, 1995) CMDS9 (Istanbul, Turkey, 1998) As in the previous symposia, participation was by invitation from the Inter national Scientific Committee. Participants were chosen from a list of recom mendations of the committee members, as well as from applications following advertisement of the symposium on the internet and in email messages to po tential participants. The members of the International Scientific Committee were: Karl-Heinz Anthony CMDS7 Chairman (University ofPaderborn, Germany) David J. Bergman, Conference Chairman (Tel Aviv University, Israel) Bikas K. Chakrabatii (Saha Institute of Nuclear Physics Calcutta, West Bengal, India) Hans Jurgen Herrmann (University of Stuttgart, Germany; and ESPCI, Paris, France) Esin Inan, CMDS9 Chairwoman (Istanbul Technical University, Istanbul, Turkey) Dominique Jeulin (ENSMP, Fontainebleau, France) Mark Kachanov (Tufts University, Boston, MA, USA) David Kinderlehrer (Carnegie-Mellon University, Pittsburgh, PA, USA) Arnold M. Kosevich (B. Verkin Institute for Low Temperature Physics, Khat"kov, Ukraine) Valery M. Levin (Petrozavodsk State University, Petrozavodsk, Russia) Konstantin Z.
Specificaties
ISBN13:9781402023156
Taal:Engels
Bindwijze:paperback
Aantal pagina's:426
Uitgever:Springer Netherlands
Druk:0
Inhoudsopgave
<P>Contents</P>
<P>Dedication v</P>
<P>Preface xiii</P>
<P>In Memoriam of Ekkehart Kroener xv</P>
<P>In Memoriam of Konstantin Zdravkov Markov xvii</P>
<P>Acknowledgment xx</P>
<P>Part 1 Thermodynamics, transport theory, and statistical mechan ics</P>
<P>GL Noise in non-Ohmic regimes of disordered systems (abstract) 3</P>
<P>Kamal K. Bardhan and Chandidas Mukherjee</P>
<P>RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifur</P>
<P>cations of invariant set belonging to the map diagonal 5</P>
<P>Vladimir A. Dobrynskiy</P>
<P>RC Self-assembied 2D dipole clusters (abstract) 13</P>
<P>M. Golosovsky Y Saado, Y Neve-Oz and D. Davidov</P>
<P>RC Transforming to chaos by forma! forms 15</P>
<P>Avadis Hacinliyan Nazim Ziya Perdahci, Gokhan Sahin, H. Ahmet Yildirim</P>
<P>RC Representative volume element: A statistical point of view (not presented) 21 Dominique Jeulin Toufik Kanit, and Samuel Forest</P>
<P>RC Diffusion mediated transport and the Brownian motor 29</P>
<P>David Kinderlehrer</P>
<P>RC A phase field system with memory 37</P>
<P>Amy Novick-Cohen</P>
<P>RC Pattern formation, reconstruction, and roughening on a catalytic surface</P>
<P>(abstract) 43</P>
<P>M. Monine and L. M. Pismen</P>
<P>viii CONTINUUM MODELS AND DJSCRETE SYSTEMS</P>
<P>Part II Continuum mechanics of complex fluids and deformable solids with microstructure</P>
<P>RC The special electrical properties and the corresponding applications of car</P>
<P>bon black-polymer composites 47</P>
<P>1. Balberg</P>
<P>RC Continuum field model of defect-induced heterogeneities in a strained thin</P>
<P>layer 55</P>
<P>Mikhail Belogolovskii Gennadij Akimov, Yurii Komysa, Paul Seidel</P>
<P>OL The effective conductivity of densely packed high contrast composites 63</P>
<P>Yuliya Gorb and Leonid Berlyand</P>
<P>RC Simple algebraic approximations for the effective elastic moduli of a cubic</P>
<P>array of spheres 75</P>
<P>Israel Cohen and David J. Bergman</P>
<P>RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81</P>
<P>Shmulik 1’. Friedman Scott B. Jones, and David A. Robinson</P>
<P>RC Information theoretical sliding window optimization applied to discretiza</P>
<P>tion of continuous signals (abstract) 83</P>
<P>Huseyin Goksu and Donald C. Wunsch</P>
<P>RC Dispersive durable systems: The technology of synthesis with given prop</P>
<P>erties 85</P>
<P>Ramiz A. Hasanov</P>
<P>RC Artificial "magnetic atoms" for microwave composite materials 99</P>
<P>E. 0. Kamenetskii R. Shavit, and M. Sigalov</P>
<P>RC Effective properties of matrix composite materials with high volume con-</P>
<P>centrations of inciusions (abstract) 105</P>
<P>Sergey K. Kanaoun</P>
<P>RC On the effective constants of inhomogeneous poroelastic medium 107</P>
<P>v M. Levin and J. M. Alvarez-Tostado</P>
<P>RC On the solution of the inhomogeneous Helmholtz wave equation for ellip</P>
<P>soidal sources 115</P>
<P>T M. Michelitscj J. Wang, H. Gao, and V M. Levin</P>
<P>RC Computational mesomechanics of materials 123</P>
<P>Leon Mishnaevsky Jr</P>
<P>Contents ix</P>
<P>RC Non-homogenization approach to the analysis of periodic elastic systems:</P>
<P>Applications to fracture mechanics and topological optimization 129</P>
<P>Michael Ryvkin Moshe Fuchs, Fabian Lipperman, and Eyal Moses</P>
<P>RC Plasmonic nanoantennas (abstract) 135</P>
<P>Andrey K. Sarychev and Vladimir M. Shalaev</P>
<P>RC Effective conductivity of non-linear composites and electrical breakdown 137 A. Snarskii and M. Zhenirovsky</P>
<P>RC Exact relations between macroscopic moduli of composite media in n di-</P>
<P>mensions 143</P>
<P>Yakov M. Strelniker and David J. Bergman</P>
<P>RC Local field effects and optical susceptibility of composite media 151</P>
<P>Gregory Surdutovich</P>
<P>RC On the approximation theorem for functionals and the asymptotic stability</P>
<P>for some classes of polynomial fluids 159</P>
<P>Victor Tigoiu</P>
<P>RC The lattice-gas model in micro- aero-hydrodynamics problems 165</P>
<P>Yuriy K. Tovbin</P>
<P>RC Computation of ground bearing capacity from shear wave velocity 173</P>
<P>Ergun Turker</P>
<P>RC Boundary element method applied to some multiphase fiows (abstract) 181</P>
<P>D. V Yevdokymov</P>
<P>Part III Continuum theory of living structures</P>
<P>GL Noisy reaction-diffusion models and their biological implications (abstract) 185 Herbert Levine</P>
<P>GL Engineered self-organization in natural and man-made systems 187</P>
<P>Nadav Raichinan, Tamir Gabay, Yael Katsir Yoash Shapira, and Eshel Ben-Jacob</P>
<P>Part IV Dislocations and plasticity</P>
<P>RC Annealing of dislocations in two dimensions—partial universality 209</P>
<P>Nathan A rgaman</P>
<P>RC Elasto-plastic models with dislocations based on configuration with torsion2l5 Sanda Cleja-Tigoiu</P>
<P>x CONTINUUM MODELS AND DISCRETE SYSTEMS</P>
<P>RC Spin Effects in Plasticity (abstract) 221</P>
<P>v Fleurov and M. Molotskii</P>
<P>RC Molecular model of rupture of a macromolecular chain of a loaded oriented</P>
<P>crystalline polymer 223</P>
<P>Ulmas Gafurov</P>
<P>RC A molecular dynamics and an elastic continuum study of serew disloca</P>
<P>tions in copper 231</P>
<P>D.Mordeh 1. Kelson, G. Makov</P>
<P>Part V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevels</P>
<P>RC Damage mechanisms and fracture of glass at the nanometer scale (abstract)239 E. Bouc/ E Celarie, S. Prades, D. Bonamy, C. Guillot, C. Marliere</P>
<P>GL The generation of non-trivial fracture surface in the dynamic fracture of</P>
<P>brittie materials (extended abstract) 241</P>
<P>JayFineberg Amir Sagy, Ariel Livne, and Gil Cohen</P>
<P>RC Prediction possibility in the fractal overlap model of earthquakes 245</P>
<P>Srutarshi Pradhan, Pinaki Choudhuri, and Bikas K. Chakrabarti</P>
<P>GL Dynamical instabilities of quasi-static crack propagation under thermal</P>
<P>stress (abstract) 251</P>
<P>Itamar Procaccia</P>
<P>RC Inclusion based modeling of concrete with various aggregate volume frac</P>
<P>tions 253</P>
<P>M. A. Tasdçj S. Akyuz, E Bayrainov, A. S. Agar</P>
<P>Part VI New developmeuts in continuum theory, non-classical mathematical models, and discrete vs. continuum models</P>
<P>RC Analysis of stochastically heterogeneous microbeams by a functional per-</P>
<P>turbation method 261</P>
<P>Eli Altus</P>
<P>RC Modeling infiltration during soil sea! formation: Effects of sea! non-uniformity</P>
<P>in depth and soil heterogeneity in space (abstract) 269</P>
<P>S. Assouline Y Mualem</P>
<P>RC A fractal model for analyzing satellite-radar-altimetry images of the sea</P>
<P>surface 271</P>
<P>Doron E. Bar and Yehuda Agnon</P>
<P>Contents xi</P>
<P>RC Diffusion equation with fractional time derivative—physical sense and</P>
<P>practical realization (abstract) 277</P>
<P>E. M. Baskin and G. V Zilberstein</P>
<P>GL Theory of a naturally diserete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence</P>
<P>(abstract) 279</P>
<P>Bernard Ii Coleman</P>
<P>RC Integral representations for solutions of some nonciassical one dimensional</P>
<P>pseudoparabolic problems 281</P>
<P>Esin man Seyidali S. Akhiev</P>
<P>RC Phononic band gap properties of doubly periodic arrays of coated inclu</P>
<P>sions 287</P>
<P>S. B. Platts and N. V Movchan</P>
<P>RC Adaptation of autocatalytic reactants to discrete catalysts (abstract) 295</P>
<P>Nadav Shnerb</P>
<P>GL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real life applications (abstract) 297</P>
<P>Sorin Solomon</P>
<P>GL Bridging micro and macro scales in fluids 299</P>
<P>Peng Yu, Shiomo Ta ‘</P>
<P>Part VII Granular material: Statics and dynamics</P>
<P>RC What controls the rheology of granular materials? (abstract) 313</P>
<P>Einat Aharonov</P>
<P>GL Elasticity and force chains 315</P>
<P>LGo1dhfr C. Goldenberg</P>
<P>GL Restructuring of force networks 327</P>
<P>Hans J. Herrmann R. Cruz Hidalgo, F Kun</P>
<P>RC Hydrodynamics of "thermal" granular convection 341</P>
<P>Evgeniy Khain</P>
<P>RC Force chains and stress in granular materials (abstract) 347</P>
<P>Dov Levine</P>
<P>Part VIII Percolation problems</P>
<P>RC Exact relations between critical exponents for elastic stiffness and electri</P>
<P>cal conductivity of percolating networks 351</P>
<P>xii CONTINUUM MODELS AND DISCRETE SYSTEMS Davidf. Bergman</P>
<P>RC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfect</P>
<P>insulator, and perfect conductor 359</P>
<P>Xiangting Li and David J. Bergman</P>
<P>RC Variable range hopping conduction in complex systems and a percolation</P>
<P>model with tunneling 367</P>
<P>Asok K. Sen and Somnath Bhattacharya</P>
<P>RC The effective properties of macroscopically inhomogeneous ferromagnetic</P>
<P>composites (abstract) 375</P>
<P>A. Snarskii and M. Zhenirovsky</P>
<P>Part IX Phase transitions and their applications</P>
<P>RC Switching transitions in confined liquid crystals 379</P>
<P>Ohad Levy</P>
<P>GL Patterns in drying water films 387</P>
<P>S. G. Lipson</P>
<P>RC Stability of stationary periodic solutions of the convective Cahn-Hilliard</P>
<P>equation 399</P>
<P>A. Podolny, A. A. Nepomnyashchy A. A. Golovin</P>
<P>GL A dynamical system approach to aridity and desertification 405</P>
<P>Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair Zarmi</P>
<P>Alphabetical list of conference participants with addresses 419</P>
<P>Author Index 425</P>
<P></P>
<P>Dedication v</P>
<P>Preface xiii</P>
<P>In Memoriam of Ekkehart Kroener xv</P>
<P>In Memoriam of Konstantin Zdravkov Markov xvii</P>
<P>Acknowledgment xx</P>
<P>Part 1 Thermodynamics, transport theory, and statistical mechan ics</P>
<P>GL Noise in non-Ohmic regimes of disordered systems (abstract) 3</P>
<P>Kamal K. Bardhan and Chandidas Mukherjee</P>
<P>RC Coupled tent and logistic maps: Lyapunov exponents, stability and bifur</P>
<P>cations of invariant set belonging to the map diagonal 5</P>
<P>Vladimir A. Dobrynskiy</P>
<P>RC Self-assembied 2D dipole clusters (abstract) 13</P>
<P>M. Golosovsky Y Saado, Y Neve-Oz and D. Davidov</P>
<P>RC Transforming to chaos by forma! forms 15</P>
<P>Avadis Hacinliyan Nazim Ziya Perdahci, Gokhan Sahin, H. Ahmet Yildirim</P>
<P>RC Representative volume element: A statistical point of view (not presented) 21 Dominique Jeulin Toufik Kanit, and Samuel Forest</P>
<P>RC Diffusion mediated transport and the Brownian motor 29</P>
<P>David Kinderlehrer</P>
<P>RC A phase field system with memory 37</P>
<P>Amy Novick-Cohen</P>
<P>RC Pattern formation, reconstruction, and roughening on a catalytic surface</P>
<P>(abstract) 43</P>
<P>M. Monine and L. M. Pismen</P>
<P>viii CONTINUUM MODELS AND DJSCRETE SYSTEMS</P>
<P>Part II Continuum mechanics of complex fluids and deformable solids with microstructure</P>
<P>RC The special electrical properties and the corresponding applications of car</P>
<P>bon black-polymer composites 47</P>
<P>1. Balberg</P>
<P>RC Continuum field model of defect-induced heterogeneities in a strained thin</P>
<P>layer 55</P>
<P>Mikhail Belogolovskii Gennadij Akimov, Yurii Komysa, Paul Seidel</P>
<P>OL The effective conductivity of densely packed high contrast composites 63</P>
<P>Yuliya Gorb and Leonid Berlyand</P>
<P>RC Simple algebraic approximations for the effective elastic moduli of a cubic</P>
<P>array of spheres 75</P>
<P>Israel Cohen and David J. Bergman</P>
<P>RC Geometrical factors affecting the bulk electrical properties of soils and rocks: Measurements and continuum mean field computations (abstract) 81</P>
<P>Shmulik 1’. Friedman Scott B. Jones, and David A. Robinson</P>
<P>RC Information theoretical sliding window optimization applied to discretiza</P>
<P>tion of continuous signals (abstract) 83</P>
<P>Huseyin Goksu and Donald C. Wunsch</P>
<P>RC Dispersive durable systems: The technology of synthesis with given prop</P>
<P>erties 85</P>
<P>Ramiz A. Hasanov</P>
<P>RC Artificial "magnetic atoms" for microwave composite materials 99</P>
<P>E. 0. Kamenetskii R. Shavit, and M. Sigalov</P>
<P>RC Effective properties of matrix composite materials with high volume con-</P>
<P>centrations of inciusions (abstract) 105</P>
<P>Sergey K. Kanaoun</P>
<P>RC On the effective constants of inhomogeneous poroelastic medium 107</P>
<P>v M. Levin and J. M. Alvarez-Tostado</P>
<P>RC On the solution of the inhomogeneous Helmholtz wave equation for ellip</P>
<P>soidal sources 115</P>
<P>T M. Michelitscj J. Wang, H. Gao, and V M. Levin</P>
<P>RC Computational mesomechanics of materials 123</P>
<P>Leon Mishnaevsky Jr</P>
<P>Contents ix</P>
<P>RC Non-homogenization approach to the analysis of periodic elastic systems:</P>
<P>Applications to fracture mechanics and topological optimization 129</P>
<P>Michael Ryvkin Moshe Fuchs, Fabian Lipperman, and Eyal Moses</P>
<P>RC Plasmonic nanoantennas (abstract) 135</P>
<P>Andrey K. Sarychev and Vladimir M. Shalaev</P>
<P>RC Effective conductivity of non-linear composites and electrical breakdown 137 A. Snarskii and M. Zhenirovsky</P>
<P>RC Exact relations between macroscopic moduli of composite media in n di-</P>
<P>mensions 143</P>
<P>Yakov M. Strelniker and David J. Bergman</P>
<P>RC Local field effects and optical susceptibility of composite media 151</P>
<P>Gregory Surdutovich</P>
<P>RC On the approximation theorem for functionals and the asymptotic stability</P>
<P>for some classes of polynomial fluids 159</P>
<P>Victor Tigoiu</P>
<P>RC The lattice-gas model in micro- aero-hydrodynamics problems 165</P>
<P>Yuriy K. Tovbin</P>
<P>RC Computation of ground bearing capacity from shear wave velocity 173</P>
<P>Ergun Turker</P>
<P>RC Boundary element method applied to some multiphase fiows (abstract) 181</P>
<P>D. V Yevdokymov</P>
<P>Part III Continuum theory of living structures</P>
<P>GL Noisy reaction-diffusion models and their biological implications (abstract) 185 Herbert Levine</P>
<P>GL Engineered self-organization in natural and man-made systems 187</P>
<P>Nadav Raichinan, Tamir Gabay, Yael Katsir Yoash Shapira, and Eshel Ben-Jacob</P>
<P>Part IV Dislocations and plasticity</P>
<P>RC Annealing of dislocations in two dimensions—partial universality 209</P>
<P>Nathan A rgaman</P>
<P>RC Elasto-plastic models with dislocations based on configuration with torsion2l5 Sanda Cleja-Tigoiu</P>
<P>x CONTINUUM MODELS AND DISCRETE SYSTEMS</P>
<P>RC Spin Effects in Plasticity (abstract) 221</P>
<P>v Fleurov and M. Molotskii</P>
<P>RC Molecular model of rupture of a macromolecular chain of a loaded oriented</P>
<P>crystalline polymer 223</P>
<P>Ulmas Gafurov</P>
<P>RC A molecular dynamics and an elastic continuum study of serew disloca</P>
<P>tions in copper 231</P>
<P>D.Mordeh 1. Kelson, G. Makov</P>
<P>Part V Fundamentals of fracture, defect dynamics, fatigue, and crack dynamics on different microlevels</P>
<P>RC Damage mechanisms and fracture of glass at the nanometer scale (abstract)239 E. Bouc/ E Celarie, S. Prades, D. Bonamy, C. Guillot, C. Marliere</P>
<P>GL The generation of non-trivial fracture surface in the dynamic fracture of</P>
<P>brittie materials (extended abstract) 241</P>
<P>JayFineberg Amir Sagy, Ariel Livne, and Gil Cohen</P>
<P>RC Prediction possibility in the fractal overlap model of earthquakes 245</P>
<P>Srutarshi Pradhan, Pinaki Choudhuri, and Bikas K. Chakrabarti</P>
<P>GL Dynamical instabilities of quasi-static crack propagation under thermal</P>
<P>stress (abstract) 251</P>
<P>Itamar Procaccia</P>
<P>RC Inclusion based modeling of concrete with various aggregate volume frac</P>
<P>tions 253</P>
<P>M. A. Tasdçj S. Akyuz, E Bayrainov, A. S. Agar</P>
<P>Part VI New developmeuts in continuum theory, non-classical mathematical models, and discrete vs. continuum models</P>
<P>RC Analysis of stochastically heterogeneous microbeams by a functional per-</P>
<P>turbation method 261</P>
<P>Eli Altus</P>
<P>RC Modeling infiltration during soil sea! formation: Effects of sea! non-uniformity</P>
<P>in depth and soil heterogeneity in space (abstract) 269</P>
<P>S. Assouline Y Mualem</P>
<P>RC A fractal model for analyzing satellite-radar-altimetry images of the sea</P>
<P>surface 271</P>
<P>Doron E. Bar and Yehuda Agnon</P>
<P>Contents xi</P>
<P>RC Diffusion equation with fractional time derivative—physical sense and</P>
<P>practical realization (abstract) 277</P>
<P>E. M. Baskin and G. V Zilberstein</P>
<P>GL Theory of a naturally diserete model for DNA elasticity that accounts for the dependence of the mechanical properties of DNA on nucleotide sequence</P>
<P>(abstract) 279</P>
<P>Bernard Ii Coleman</P>
<P>RC Integral representations for solutions of some nonciassical one dimensional</P>
<P>pseudoparabolic problems 281</P>
<P>Esin man Seyidali S. Akhiev</P>
<P>RC Phononic band gap properties of doubly periodic arrays of coated inclu</P>
<P>sions 287</P>
<P>S. B. Platts and N. V Movchan</P>
<P>RC Adaptation of autocatalytic reactants to discrete catalysts (abstract) 295</P>
<P>Nadav Shnerb</P>
<P>GL How faithful are continuum models to discrete systems? Some strange rigorous results and their obvious real life applications (abstract) 297</P>
<P>Sorin Solomon</P>
<P>GL Bridging micro and macro scales in fluids 299</P>
<P>Peng Yu, Shiomo Ta ‘</P>
<P>Part VII Granular material: Statics and dynamics</P>
<P>RC What controls the rheology of granular materials? (abstract) 313</P>
<P>Einat Aharonov</P>
<P>GL Elasticity and force chains 315</P>
<P>LGo1dhfr C. Goldenberg</P>
<P>GL Restructuring of force networks 327</P>
<P>Hans J. Herrmann R. Cruz Hidalgo, F Kun</P>
<P>RC Hydrodynamics of "thermal" granular convection 341</P>
<P>Evgeniy Khain</P>
<P>RC Force chains and stress in granular materials (abstract) 347</P>
<P>Dov Levine</P>
<P>Part VIII Percolation problems</P>
<P>RC Exact relations between critical exponents for elastic stiffness and electri</P>
<P>cal conductivity of percolating networks 351</P>
<P>xii CONTINUUM MODELS AND DISCRETE SYSTEMS Davidf. Bergman</P>
<P>RC Mixed transfer-matrix method for computing the macroscopic conductivity of three-constituent extreme networks: Mixtures of normal conductor, perfect</P>
<P>insulator, and perfect conductor 359</P>
<P>Xiangting Li and David J. Bergman</P>
<P>RC Variable range hopping conduction in complex systems and a percolation</P>
<P>model with tunneling 367</P>
<P>Asok K. Sen and Somnath Bhattacharya</P>
<P>RC The effective properties of macroscopically inhomogeneous ferromagnetic</P>
<P>composites (abstract) 375</P>
<P>A. Snarskii and M. Zhenirovsky</P>
<P>Part IX Phase transitions and their applications</P>
<P>RC Switching transitions in confined liquid crystals 379</P>
<P>Ohad Levy</P>
<P>GL Patterns in drying water films 387</P>
<P>S. G. Lipson</P>
<P>RC Stability of stationary periodic solutions of the convective Cahn-Hilliard</P>
<P>equation 399</P>
<P>A. Podolny, A. A. Nepomnyashchy A. A. Golovin</P>
<P>GL A dynamical system approach to aridity and desertification 405</P>
<P>Erez Gilad, Jost von Hardenberg, Ehud Meron, Moshe Shachak, Yair Zarmi</P>
<P>Alphabetical list of conference participants with addresses 419</P>
<P>Author Index 425</P>
<P></P>