Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical SystemsSpringer Science & Business Media, 1996 M12 18 - 237 páginas From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique |
Contenido
OX S | 21 |
a | 25 |
6 Systems with Symmetries | 30 |
surface of the equation is not singular but is | 36 |
N | 64 |
a0 | 65 |
Fig 18 A nonmonodromic singular point without | 85 |
Fig 21 Correspondence mapping of a hyperbolic sector | 108 |
P | 131 |
Términos y frases comunes
analytic vector analytic vector field analytically equivalent asymptotic attractor called cascade center manifold Chap characteristic trajectory circle closed trajectory codimension coefficients compact complex components compound cycle connected coordinates corresponding decomposition defined Definition denote diffeomorphism differential equations direction field domain dynamical systems eigenvalues equilibrium point finite number fixed point flow g formally equivalent fuchsian function germs of vector holomorphic homeomorphism homotopy hyperbolic integral curves invariant manifolds isolated invariant set limit cycles Lyapunov Lyapunov stability M-S flow M-S systems Math matrix metric monodromy map Morse Morse index Morse-Smale motions N-jet neighbourhood nondegenerate nonresonant normal form obtained orbitally parameter periodic trajectories phase curves phase portrait phase space plane Poincaré Poisson-stable problem regular singular point resonant resp rotation number Russian semi-trajectory smooth DSS smooth vector field solution sphere structurally stable subset tangent Theorem tion topological classification topologically equivalent torus transversal vector bundle vector field zero
Referencias a este libro
Trends in Nonlinear Analysis Markus Kirkilionis,Susanne Krömker,Rolf Rannacher,Friedrich Tomi Vista previa limitada - 2002 |
Bifurcations and Catastrophes: Geometry of Solutions to Nonlinear Problems Michel Demazure Vista previa limitada - 1999 |