Dynamical systems are systems that change with the passage of time. Wherever the time evolution of systems is being investigated, nonlinear dynamical techniques are used. The investigation of such systems has become a fertile field of research outside the traditional areas of physics, mathematics and engineering, due in part to the widespread, increasing availability of powerful computers capable of handling extremely complex "nonlinear" systems. Its importance spans a wide range of fields such as meteorology, physics, medicine, biology, civil and electrical engineering, and chemistry. It can, however, be a confusing subject to come to terms with due to the large number of specialist terms and topics which have developed. Providing both elementary and more advanced definitions of over 500 key terms, this dictionary should be useful to specialists and non-specialists in nonlinear dynamics.
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The study of nonlinear dynamics is one of the most active fields in modern science. It reaches across the whole range of scientific study, and is applied in fields as diverse as physics, engineering, biology, economics and medicine. However, the mathematical language used to describe nonlinear dynamics, and the proliferation of new terminology, can make the use of nonlinear dynamics a daunting task to the non–specialist. In addition,the simultaneous growth in the use of nonlinear dynamics across different fields, and the cross–fertilization of ideas from different disciplines, mean that names and methods used and developed in one field may be altered when ′re–discovered′ in a different context, making understanding the literature a difficult and time–consuming task. The Illustrated Dictionary of Nonlinear Dynamics and Chaos addresses these problems. It presents, in an alphabetical format, the key terms, theorems and equations which arise in the study of nonlinear dynamics. New mathematical ideas are described and explained with examples and, where appropriate, illustrations are included to aid clarification and understanding. For some entries, the descriptions are self–contained, but should more detail be required, references are included for further reading. Where alternative terms are used for a single concept, an entry is placed under the name in most common usage, with cross–references given under other names. The Illustrated Dictionary of Nonlinear Dynamics and Chaos is an invaluable reference source for all those who use nonlinear dynamics in their research, whether they are newcomers to the field who need help to understand the literature, or more experienced researchers who need a concise and handy reference.
"the dictionary is a valuable contribution and should be on a bookshelf of everyone researching or having an interest in nonlinear dynamics and chaos..." (Int Jnl of Robust & Nonlinear Control, Issue 11/2, February 2001)
"...valuable contribution and should be on a bookshelf of everyone researching or having an interest in nonlinear dynamics and chaos..." (Int Jnl of Robust & Nonlinear Control, Issue 11/2, February 2001)
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