Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg, Springer-Verlag Berlin and Heidelberg Gmbh & Co. K
ISBN-10
3540054952
ISBN-13
9783540054955
eBay Product ID (ePID)
96832538
Product Key Features
Format
Trade Paperback (US), Paperback
Language
English
Subject
Mathematics
Dimensions
Weight
600g
Height
234mm
Width
156mm
Additional Product Features
Place of Publication
Berlin
Spine
10mm
Edited by
David Chillingworth
Table of Contents
On the measure-preserving flow on the torus.- Breaking of waves.- Group extensions of discrete dynamical systems.- Conditions for integrability of certain equations.- Formalisme Lagrangien.- Continuous flows on the plane.- Non-linear cubic differential equations.- Mathematical theory of general systems.- Mathematical theory of multi-level systems.- Geometric elements in the theory of transformations of ordinary second-order linear differential equations.- Dynamical systems on an n-torus.- Continuous flows on the plane : techniques I.- Continuous flows on the plane : techniques II.- Generalisation of Bendixson's theory.- Geodesic flows.- Instability.- One-parameter families of diffeomorphisms.- Topology and mechanics.- Generic properties of conservative systems.- Dynamical systems on nilmanifolds.- Linearizing a diffeomorphism.- Topologically transitive diffeomorphisms of T4.- ?-explosions.- Singularities of exponential maps.- Periodic points, measures and Axiom A.- Holomorphic vector fields on CP2.- Small delays don't matter.- Conjugacy and ergodicity.- SL(n,R) actions.- Diff(M) is simple?.- Distributed parameters control.- Flows outside a compact invariant set.- Non-linear Volterra equations.- Ergodic Hamiltonian theory.- Subharmonic solutions to Duffing's equation.- Similarity of automorphisms of the torus.- Differential equations with periodic coefficients.- An algebraic approach to dynamical systems.- Volterra equations and semi-flows.- Homomorphisms of minimal sets.- Boundedness of solutions of 2nd order equations.- Mobius transformations in stability theory.- Some maximum principles for Ito equations.- A periodic wave propagation model for pattern formation in embryos.- Intrinsically ergodic systems.- The group of diffeomorphisms, and motion of fluids.- Positional information and the spatial pattern of cellular differentiation.- Bifurcations.- Theorie de Fuchs sur une variete analytique complexe.- Invariant subsets of hyperbolic sets.- The principle of Maupertuis.- Instability in Diffr(T3).- A global concept of stability under persistent perturbations.- Hausdorff dimension and transversality of discrete flows.- Universal foliations.- Foliations of the plane.- Synthesis of control systems on manifolds.- Foliations and transformation groups.- Report on Bott's theorem on foliations.- Topological equivalence of foliations.- Foliations.- Diffeomorphismes du tore T3.- Foliations.- Algebraic invariants of foliations.- Work of gromov: generalization of the Smale-Hirsch theorem.- List of speakers at the afternoon sessions of the summer school 15th - 25th July 1969.- Foliations of codimension one.- Expanding attractors.- Equivalence of dynamical systems.- Generic bifurcation.- Probabilistic convergence of approximations for partial differential equations.- Mathematical structure of network synthesis.- Actions of R2 on manifolds.- A generalization of Mackey's imprimitivity theorem.- Algebraic problems in dynamical systems.- Almost periodic minimal sets.- Anosov diffeomorphisms.- Sufficiency of jets.- Asymmetric manifolds (Report withdrawn).- Universal unfoldings (Report not received).- Functional-differential systems and pattern learning.- Stability theory for partial differential equations.- A functional approach to stability of differential equations.- Numerical analysis of nonlinear oscillations.- Dichotomies and stability theory.- Commuting diffeomorphisms.- Predictions for the future of differential equations.- For Ralph.