The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s, nonlinear dynamics theory, and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples from optics, biology and medicine. These include laser systems, optical transmission lines, cortical networks, models of muscle contraction, localized vegetation structures and waves in brain tissues.
Lecture Notes in Physics Founding Editors: W. Beiglb¨ock, J. Ehlers, K. Hepp, H. Weidenm¨uller Editorial Board R. Beig, Vienna, Austria W. Beiglb¨ock, Heidelberg, Germany W. Domcke, Garching, Germany B.-G. Englert, Singapore U. Frisch, Nice, France P. H¨anggi, Augsburg, Germany G. Hasinger, Garching, Germany W. Hillebrandt, Garching, Germany R. L. Jaffe, Cambridge, MA, USA W. Janke, Leipzig, Germany H. v. L¨ohneysen, Karlsruhe, Germany M. Mangano, Geneva, Switzerland J.-M. Raimond, Paris, France D. Sornette, Zurich, Switzerland S. Theisen, Potsdam, Germany W. Weise, Garching, Germany J. Zittartz, K¨oln, Germany
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N. Akhmediev A. Ankiewicz (Eds.)
Dissipative Solitons: From Optics to Biology and Medicine
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Nail Akhmediev Australian National University Optical Sciences Center Canberra ACT 0200 Australia
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Adrian Ankiewicz Australian National University Optical Sciences Center Canberra ACT 0200 Australia
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Akhmediev, N., Ankiewicz, A.(Eds.), Dissipative Solitons: From Optics to Biology and Medicine, Lect. Notes Phys. 751 (Springer, Berlin Heidelberg 2008), DOI 10.1007/ 978-3-540-78217-9
ISBN: 978-3-540-78216-2
e-ISBN: