Albert e.J. Luo
Discontinuous Dynamical Systems on Time-varying Domains
With 96 figures, 4 of them in color
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NONLINEAR PHYSICAL SCIENCE
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 physical science and nonlinear mathematics with engineering applications. Topics of interest in Nonlinear Physical Science include but are not limited to: - New findings and discoveries in nonlinear physics and mathematics - Nonlinearity, complexity and mathematical structures in nonlinear physics - Nonlinear phenomena and observations in nature and engineering - Computational methods and theories in complex systems - Lie group analysis, new theories and principles in mathematical modeling - Stability, bifurcation, chaos and fractals in physical science and engineering - Nonlinear chemical and biological physics - Discontinuity, synchronization and natural complexity in the physical sciences
SERIES EDITORS Albert C.J. Luo Department of Mechanical and Industrial Engineering Southern Illinois University Edwardsville Edwardsville, IL 62026-1805, USA Email:
[email protected]
Nail H. Ibragimov Department of Mathematics and Science Blekinge Institute of Technology S-371 79 Karlskrona, Sweden Email:
[email protected]
INTERNATIONAL ADVISORY BOARD Ping Ao, University of Washington, USA; Email:
[email protected] Jan Awrejcewicz, The Technical University of Lodz, Poland; Email:
[email protected] Eugene Benilov, University of Limerick, Ireland; Email:
[email protected] Eshel Ben-Jacob, Tel Aviv University, Israel; Email:
[email protected] Maurice Courbage, Universit´e Paris 7, France; Email:
[email protected] Marian Gidea, Northeastern Illinois University, USA; Email:
[email protected] James A. Glazier, Indiana University, USA; Email:
[email protected] Shijun Liao, Shanghai Jiaotong University, China; Email:
[email protected] Jose Antonio Tenreiro Machado, ISEP-Institute of Engineering of Porto, Portugal; Email:
[email protected] Nikolai A. Magnitskii, Russian Academy of Sciences, Russia; Email:
[email protected] Josep J. Masdemont, Universitat Politecnica de Catalunya (UPC), Spain; Email: