Deterministic Chaos in One-Dimensional Continuous Systems
Awrejcewicz, Lodz University Of Technology Poland Jan; Krysko, Saratov State Technical University Russia Vadim A; Papkova, Saratov State Technical University Russia Irina V; Krysko, Saratov State Technical University Russia & Cybernetic Institute National Research Tomsk Polytechnic University Russia Anton V
Language: English
Published by World Scientific Pub Co Inc, 2016
Series: Book 9 of 17 - World Scientific Series On Nonlinear Science Series A
- Hardcover
- Used
Seller: Majestic Books, Hounslow, United KingdomMajestic Books
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- Title
- Deterministic Chaos in One-Dimensional Continuous Systems
- Author
- Awrejcewicz, Lodz University Of Technology Poland Jan; Krysko, Saratov State Technical University Russia Vadim A; Papkova, Saratov State Technical University Russia Irina V; Krysko, Saratov State Technical University Russia & Cybernetic Institute National Research Tomsk Polytechnic University Russia Anton V
- Publisher
- World Scientific Pub Co Inc
- Publication year
- 2016
- Condition
- Used
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9814719692
- ISBN 13
- 9789814719698
- Series
- Book 9 of 17: World Scientific Series On Nonlinear Science Series A
This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.
Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler–Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic–plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.
The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.
"Synopsis" may belong to another edition of this title.
Majestic Books
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