Share
Deterministic Chaos in One Dimensional Continuous Systems (in English)
Jan Awrejcewicz
(Author)
·
Vadim a. Krysko
(Author)
·
Irina V. Papkova
(Author)
·
World Scientific Publishing Company
· Hardcover
Deterministic Chaos in One Dimensional Continuous Systems (in English) - Awrejcewicz, Jan ; Krysko, Vadim A. ; Papkova, Irina V.
$ 196.11
$ 207.00
You save: $ 10.89
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Monday, July 08 and
Tuesday, July 09.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Deterministic Chaos in One Dimensional Continuous Systems (in English)"
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.
