Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology.

This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research.

Since the publication of the first edition, applications of the theory of nonlinear dynamics have been substantially extended to the novel area of active systems, largely motivated by problems of biophysics and biomorphic technology. These problems typically involve media with internal orientation. This new edition incorporates a chapter discussing dynamics of liquids and soft solids with internal orientation, including special features of their instabilities and motion of topological defects, which form the background for various applications to the motion of cells, tissues, and activated soft materials. The contents of the first edition have also been substantially reworked, improving graphics, emphasizing more complex secondary instabilities, and dropping some material pertaining to dynamical systems.

This book caters for graduate students and young researchers from many pertinent areas including applied mathematics, physical chemistry, chemical engineering and biophysics, as well as the seasoned scientist in search of a modern source of reference.

About the Author

Len Pismen is Emeritus Professor of Fluid Mechanics at the Technion – Israel Institute of Technology. He has worked in various areas of applied physics and published over 200 papers. His earlier books include Vortices in Nonlinear Fields (1999), Patterns and Interfaces in Dissipative Dynamics (first edition, 2006), a textbook Working with Dynamical Systems (2021) and general audience books The Swings of Science (2018), Morphogenesis Deconstructed (2020), and Active Matter within and around us (2021). The latter two books appear in Springer's Frontiers Collection.

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