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portada Nonlinear Dynamics
Type
Physical Book
Author
Illustrated by
Publisher
Language
English
Pages
214
Format
Paperback
Dimensions
23.9 x 17.0 x 1.5 cm
Weight
0.41 kg.
ISBN13
9783110677867
Categories

Nonlinear Dynamics

Axelle Amon (Author) · Marc Lefranc (Author) · Marion Erpelding (Illustrated by) · de Gruyter · Paperback

Nonlinear Dynamics - Amon, Axelle ; Lefranc, Marc ; Erpelding, Marion

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Synopsis "Nonlinear Dynamics"

Many nonlinear systems around us can generate a very complex and counter-intuitive dynamics that contrasts with their simplicity, but their understanding requires concepts that are outside the basic training of most science students. This textbook, which is the fruit of graduate courses that the authors have taught at their respective universities, provides a richly illustrated introduction to nonlinear dynamical systems and chaos and a solid foundation for this fascinating subject. It will satisfy those who want discover this field, including at the undergraduate level, but also those who need a compact and consistent overview, gathering the concepts essential to nonlinear scientists. The first and second chapters describe the essential concepts needed to describe nonlinear dynamical systems as well as their stability. The third chapter introduces the concept of bifurcation, where the qualitative dynamical behavior of a system changes. The fourth chapter deals with oscillations, from their birth to their destabilization, and how they respond to external driving. The fifth and sixth chapters discuss complex behaviors that only occur in state spaces of dimension three and higher: quasi-periodicity and chaos, from their general properties to quantitative methods of characterization. All chapters are supplemented by exercises ranging from direct applications of the notions introduced in the corresponding chapter to elaborate problems involving concepts from different chapters, as well as numerical explorations.

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