Description: This title is included in the Springer complexity programme.
Review Quotes:
From the reviews of the first edition:
"The author discusses the theory and application of nonlinear Fokker-Planck equations to the description of the nonlinear dynamics of many-body systems ... . The principles and concepts of the theory are carefully exposited, along with simple examples and a very large list of references, illustrating the wide applicability to natural phenomena occurring in fields as diverse as physics, mathematics, biology, neurophysics, psychology, social sciences and population dynamics. The book will be very useful for researchers and graduate students interested or working in these areas." (Vitor R. Vieira, Mathematical Reviews, Issue 2006 h)
"The book focuses on common fundamental physical mechanisms present in diverse research fields. ... The book may be a resource of mathematical problems in a field with diverse applications: each chapter gives an outline of examples and applications of various partial differential equations and an approach towards equilibrium of their solutions (H-theorems). A concept of negative stochastic feedback, with biological motivations, may be found interesting." (Piotr Garbaczewski, Zentralblatt MATH, Vol. 1071, 2005)