Overview
- Authors:
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Yushu Chen
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Department of Mechanics, Tianjin University, Tianjin, China
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Andrew Y. T. Leung
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Manchester School of Engineering, Simon Building, University of Manchester, Manchester, UK
- Concentrates on the reduction of the number of unknowns, whereas deal only with a few unknowns
- Applied very much to real, practical engineering problems rather than merely theory
- Has an accessible, systematic approach and clear presentation
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Table of contents (11 chapters)
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- Yushu Chen, Andrew Y. T. Leung
Pages 1-34
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- Yushu Chen, Andrew Y. T. Leung
Pages 35-65
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- Yushu Chen, Andrew Y. T. Leung
Pages 66-83
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- Yushu Chen, Andrew Y. T. Leung
Pages 84-153
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- Yushu Chen, Andrew Y. T. Leung
Pages 154-175
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- Yushu Chen, Andrew Y. T. Leung
Pages 176-229
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- Yushu Chen, Andrew Y. T. Leung
Pages 230-264
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- Yushu Chen, Andrew Y. T. Leung
Pages 265-310
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- Yushu Chen, Andrew Y. T. Leung
Pages 311-340
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- Yushu Chen, Andrew Y. T. Leung
Pages 341-398
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- Yushu Chen, Andrew Y. T. Leung
Pages 399-435
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Back Matter
Pages 436-452
About this book
For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science. An in-depth study of the theory and application of non-linear science will certainly change one's perception of numerous non-linear phenomena and laws considerably, together with its great effects on many areas of application. As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern. This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials from literature in this field. The bifurcation and chaotic vibration of deterministic non-linear dynamic systems are studied from the viewpoint of non-linear vibration.
Authors and Affiliations
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Department of Mechanics, Tianjin University, Tianjin, China
Yushu Chen
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Manchester School of Engineering, Simon Building, University of Manchester, Manchester, UK
Andrew Y. T. Leung
