Long-range Interactions, Stochasticity and Fractional Dynamics Dedic
In memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments of long-range interaction, fractional dynamics, brain dynamics and stochastic theory of turbulence, each chapter was written
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NONLINEAR PHYSICAL SCIENCE Nonlinear Physical Science focuses on recent advances of fundamental theories and principles, analytical and symbolic approaches, as well as computational techniques in nonlinear physic al science and nonlinear mathem atics with engineering applications . Topics of interest in Nonl inear Physical Science include but are not limited to: - New finding s and discoveries in nonlinear physics and mathematics - Nonlinearity, complexity and mathematical structures in nonlinear phy sics - Nonlinear phenomena and observ ations in nature and engineering - Computational methods and theories in complex systems - Lie group analysis, new theories and principles in mathematical modeling - Stabil ity, bifurc ation, chaos and fractals in physical science and engineering - Nonlinear chemical and biological physics - Discontinu ity, synchronization and natural complexity in the physic al sciences
SERIES EDITORS Albert C.J . Luo
Nail H. Ibragimov
Department of Mechao ical and Industrial Engineering Southern Illinois University Edwardsville Edwardsville, IL 62026-1 805, USA Email: aluo @siue.edu
Department of Mathematics and Science Blekinge Institute of Technolog y S-371 79 Karlskrona, Sweden Email : [email protected]
INTERNATIONAL ADVISORY BOARD Ping Ao , University of Washington . USA; Email: aoping@ u.was hington.edu Jan Awrejcewicz, The Technic al University of Lodz, Poland ; Email: awrejeew@ p.lodz.pl Eugene Bcnilov, University of Limerick. Ireland ; Email: Eugene.Benilov@ ul.ie Eshel Ben-Jacob, Tel Aviv University, Israel; Email: cshclts' tnmar.tau.ac.il Maurice Courbage, Univcrsitc Paris 7, France; Email: mauriee.eourb [email protected] Marian Gid ea , Northe astern Illinois University, USA; Email: mgidea @neiu.edu James A. Glazier, Indiana University. US A; Email: glazicr @indiana.edu Shijun Liao, Shanghai Jiaotong University. China; Email: [email protected] Jose Antonio Tenreiro Machado, ISEP-Institute of Engineering of Porto , Portugal; Email: jtm @dec.i sep.ipp .pt Nikolai A, Magnitskll, Russian Academy of Sciences. Russia; Email : nmag @isa.ru Josep J. Masdemont, Univcrsitat Poliiccnica de Cata lunya (UPC). Spain ; Email: jos [email protected] Dmitry E. Pelinovsky, McMaster University. Canada; Email: dmpeli @math .memaster.ea Sergey Prants, Vl.Il'i chcv Pacific Occanological Institut e of the Russian Academy of Sciences, Russia; Email: prants @poLdvo.ru Vlctor I. Shrira, Keele University, UK; Email : [email protected]. uk Jian Qiao Sun, University of California. USA; Email: jq sun @uemereed .edu Abdul-Majid \Vazwaz, Saint Xavier University, USA; Email: wazwaz@sx u.edu Pei Yu, The University of Western Ontario . Canada; Email: pyu @uwo.ea
Albert C.l. Luo Valentin Afraimovich
Long-range Interactions, Stochasticity and Fractional Dynamics Dedicated to George M. Zaslavsky (1935-2008)
With 114 figures
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Edito rs
Albert C.J . Luo Department of Mechanical and Industrial Engineering Southern Illinoi s University Edwardsville E
