A C Ehresmann, J.P. Vanbremeersch “Memory Evolutive Systems; Hierarchy, Emergence, Cognition ”
Elsevier Science | 2007-07-06 | ISBN:0444522441 | 402 pages | PDF | 4,8 Mb
The theory of Memory Evolutive Systems represents a mathematical model for natural open self-organizing systems, such as biological, sociological or neural systems. In these systems, the dynamics are modulated by the cooperative and/or competitive interactions between the global system and a net of internal Centers of Regulation (CR) wich a differential access to a central heirarchical Memory.
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Albert C.J. Luo “Singularity and Dynamics on Discontinuous Vector Fields, Volume 3 ”
Elsevier Science | 2006-09-13 | ISBN:0444527664 | 310 pages | PDF | 5,4 Mb
This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, engineering and control. In addition, they may provide useful tools to solve non-traditional dynamics in biology, stock market and internet network et al, which cannot be easily solved by the traditional Newton mechanics. The new ideas and concepts will stimulate ones thought and creativities in corresponding subjects. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in dynamics.
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Jian-Qiao Sun “Stochastic Dynamics and Control, Volume 4 ”
Elsevier Science | 2006-10-24 | ISBN:0444522301 | 426 pages | PDF | 3,2 Mb
This book is a result of many years of authors research and teaching on random vibration and control. It was used as lecture notes for a graduate course. It provides a systematic review of theory of probability, stochastic processes, and stochastic calculus. The feedback control is also reviewed in the book. Random vibration analyses of SDOF, MDOF and continuous structural systems are presented in a pedagogical order. The application of the random vibration theory to reliability and fatigue analysis is also discussed.
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Patrick Blackburn, Johan F.A.K. van Benthem, Frank Wolter “Symmetry, Structure, and Spacetime, Volume 3 ”
Elsevier Science | 2006-12-11 | ISBN:0444516905 | 1260 pages | PDF | 7,8 Mb
The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise.
