Nonlinear Dynamics and Chaos : Gometrical methods for Engineers and Scientists / . J.M.T Thompson, H.B. Stwart
By: Thompson, J. M. T [autor].
Contributor(s): Stewart, H. B [autor].
New York John Wiley & Sons 1993Edition: 7 reimpresion.Description: 376 paginas.ISBN: 0471909602.Subject(s): Dinamica | Teoria no lineales | Sistemas dinamicos | GeometriaDDC classification: 531.11Item type | Current location | Collection | Call number | Vol info | Copy number | Status | Notes | Date due | Barcode | Item holds |
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Libros | Biblioteca Central | FONDO BIBL | 531.11 / T478n (Browse shelf) | 1 | Available | CO | 8000003004 |
Introduction -- Basic concepts of nonlinear dynamics -- An overview of nonlinear phenomena -- Point attractors in autonomous systems -- Limit cycles in autonomous systems -- Periodic attractors in driven oscillators -- Chaotic attractors in forced oscillators -- Stability and bifurcations of equilibria and cycles -- Iterated maps as dynamical systems -- Stability and bifurcation of maps -- Chaotic behaviour of one- and two-dimensional maps -- Flows,outstructures, and chaos -- The gometryh of recurrence -- The Lorenz system -- Rössler's band -- Geometry of bifurcations -- Applications in the physical sciences -- Subharmonic resonances of an offshore structure -- Chaotic motions of an impacting system -- The particle accelerator and Hamiltonian dynamics -- Experimental observations of order and chaos --
This book is the first comprehensive, systematic account of nonlinear dynamics and chaos,one of the fastest-growing disciplines of applicable mathematics. It is highli illustrated and written in a clear, comprehensible style, progressing gently from the most elementary to the most advanced ideas while requiring little previous knowledge of mathematics.
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