December  2010, 3(4): i-iii. doi: 10.3934/dcdss.2010.3.4i

Preface

1. 

Department of Mathematics, University of Groningen, PO Box 407, 9700 AK, Groningen, Netherlands

2. 

Mathematisch Instituut, Universiteit Utrecht, Postbus 80.010, 3508 TA Utrecht

3. 

Institute of Energy Problems of Chemical Physics, The Russia Academy of Sciences, Leninskii prospect 38, Bldg.2, 119334 Moscow, Russian Federation

Published  August 2010

This issue of Discrete and Continuous Dynamical Systems, Series S, is a collection of papers in the area of KAM theory and its applications.
   KAM theory, named after its founders A.N. Kolmogorov [1, 2], V.I. Arnol'd [3, 4, 5], and J.K. Moser [6, 7], is a major part of Dynamical Systems Theory and Qualitative Theory of Differential Equations, both ordinary and partial (the descriptive term "KAM theory'' was coined in a 1968 Russian preprint by F.M. Izrailev and B.V. Chirikov). It studies the typical occurrence of quasi-periodicity in non-integrable dynamical systems and is often regarded as one of the foremost branches of modern Nonlinear Dynamics.

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Citation: Henk W. Broer, Heinz Hanβmann, Mikhail B. Sevryuk. Preface. Discrete & Continuous Dynamical Systems - S, 2010, 3 (4) : i-iii. doi: 10.3934/dcdss.2010.3.4i
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Eduard Feireisl, Mirko Rokyta, Josef Málek. Preface. Discrete & Continuous Dynamical Systems - S, 2008, 1 (3) : i-iii. doi: 10.3934/dcdss.2008.1.3i

[2]

Carlos Castillo-Chavez, Gerardo Chowell. Preface. Mathematical Biosciences & Engineering, 2011, 8 (1) : i-vi. doi: 10.3934/mbe.2011.8.1i

[3]

Christian Kanzow, Dong-Hui Li, Nobuo Yamashita. Preface. Numerical Algebra, Control & Optimization, 2011, 1 (1) : i-v. doi: 10.3934/naco.2011.1.1i

[4]

Zhaosheng Feng, Wei Feng. Preface. Discrete & Continuous Dynamical Systems - S, 2014, 7 (6) : i-i. doi: 10.3934/dcdss.2014.7.6i

[5]

P. De Maesschalck, Freddy Dumortier, Martin Wechselberger. Preface. Discrete & Continuous Dynamical Systems - S, 2009, 2 (4) : i-iii. doi: 10.3934/dcdss.2009.2.4i

[6]

Cheng-Chew Lim, Song Wang. Preface. Journal of Industrial & Management Optimization, 2008, 4 (1) : i-ii. doi: 10.3934/jimo.2008.4.1i

[7]

Thorsten Koch, Xiaoling Sun. Preface. Numerical Algebra, Control & Optimization, 2012, 2 (4) : i-ii. doi: 10.3934/naco.2012.2.4i

[8]

Urszula Ledzewicz, Marek Galewski, Andrzej Nowakowski, Andrzej Swierniak, Agnieszka Kalamajska, Ewa Schmeidel. Preface. Discrete & Continuous Dynamical Systems - B, 2014, 19 (8) : i-ii. doi: 10.3934/dcdsb.2014.19.8i

[9]

Vadim Kaloshin, Sergey Lototsky, Michael Röckner. Preface. Discrete & Continuous Dynamical Systems - B, 2006, 6 (4) : i-ii. doi: 10.3934/dcdsb.2006.6.4i

[10]

Eduard Feireisl, Josef Málek, Mirko Rokyta. Preface. Discrete & Continuous Dynamical Systems - S, 2010, 3 (3) : i-ii. doi: 10.3934/dcdss.2010.3.3i

[11]

Chaudry Masood Khalique, Maria Luz Gandarais, Mufid Abudiab. Preface. Discrete & Continuous Dynamical Systems - S, 2018, 11 (4) : i-ii. doi: 10.3934/dcdss.201804i

[12]

Zhouping Xin, Tong Yang. Preface. Discrete & Continuous Dynamical Systems - S, 2016, 9 (6) : i-ii. doi: 10.3934/dcdss.201606i

[13]

Noureddine Alaa, Marc Dambrine, Antoine Henrot, Alain Miranville. Preface. Communications on Pure & Applied Analysis, 2012, 11 (6) : i-ii. doi: 10.3934/cpaa.2012.11.6i

[14]

Wei Kang, Liang Ke, Qi Wang. Preface. Discrete & Continuous Dynamical Systems - B, 2007, 8 (3) : i-i. doi: 10.3934/dcdsb.2007.8.3i

[15]

Ricardo Carretero-González, Jesús Cuevas Maraver, Dimitri J. Frantzeskakis, P.G. Kevrekidis, Faustino Palmero Acebedo. Preface. Discrete & Continuous Dynamical Systems - S, 2011, 4 (5) : i-iii. doi: 10.3934/dcdss.2011.4.5i

[16]

Shengji Li, Nan-Jing Huang, Xinmin Yang. Preface. Numerical Algebra, Control & Optimization, 2011, 1 (3) : i-ii. doi: 10.3934/naco.2011.1.3i

[17]

Avner Friedman, Mirosław Lachowicz, Urszula Ledzewicz, Monika Joanna Piotrowska, Zuzanna Szymanska. Preface. Mathematical Biosciences & Engineering, 2017, 14 (1) : i-i. doi: 10.3934/mbe.201701i

[18]

Baojun Bian, Shanjian Tang, Qi Zhang. Preface. Discrete & Continuous Dynamical Systems - A, 2015, 35 (11) : i-iv. doi: 10.3934/dcds.2015.35.11i

[19]

Zhaosheng Feng, Jinzhi Lei. Preface. Discrete & Continuous Dynamical Systems - B, 2011, 16 (2) : i-iv. doi: 10.3934/dcdsb.2011.16.2i

[20]

Gisèle Ruiz Goldstein, Jerome A. Goldstein, Alain Miranville. Preface. Discrete & Continuous Dynamical Systems - A, 2008, 22 (4) : i-ii. doi: 10.3934/dcds.2008.22.4i

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