APPLIED NONLINEAR DYNAMICS - ANALYPTICAL, COMPUTACIONAL AND EXPERIMENTAL METHODS
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Sinopse
Applied Nonlinear Dynamics provides a coherent and unified treatment of analytical, computational, and experimental methods and concepts of nonlinear dynamics. Analytical approaches based on perturbation methods and dynamical systems theory are presented and illustrated through applications to a wide range of nonlinear systems. Geometrical concepts, such as Poincaré maps, are also treated at length. A thorough discussion of stability and local and global bifurcation analyses for systems of differential equations and algebraic equations is conducted with the aid of examples and illustrations. Continuation methods for fixed points and periodic solutions and homotopy methods for determining fixed points are detailed. Bifurcations of fixed points, limit cycles, tori, and chaos are discussed. The fascinating phenomenon of chaos is explored, and the many routes to chaos are treated at length. Methods of controlling bifurcations and chaos are described. Numerical methods and tools to characterize motions are examined in detail. Poincaré sections, Fourier spectra, polyspectra, autocorrelation functions, Lyapunov exponents, and dimension calculations are presented as analytical and experimental tools for analyzing the motion of nonlinear systems.
Ficha técnica
Especificações
ISBN | 9780471593485 |
---|---|
Pré venda | Não |
Peso | 786g |
Autor para link | NAYFEH ALI H.,BALACHANDRAN BALAKUMAR |
Livro disponível - pronta entrega | Não |
Dimensões | 23 x 16 x 3.5 |
Tipo item | Livro Importado |
Número de páginas | 704 |
Número da edição | 1ª EDIÇÃO - 1995 |
Código Interno | 627057 |
Código de barras | 9780471593485 |
Acabamento | HARDCOVER |
Autor | NAYFEH, ALI H. | BALACHANDRAN, BALAKUMAR |
Editora | JOHN WILEY |
Sob encomenda | Sim |