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TitleProceedings of the Symposium on Differential Equations and Dynamical Systems [electronic resource] : University of Warwick September 1968 โ{128}{148} August 1969 Summer School, July 15 - 25, 1969 / edited by David Chillingworth
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1971
Connect tohttp://dx.doi.org/10.1007/BFb0070117
Descript XIV, 178 p. online resource

CONTENT

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 -- Mรถbius transformations in stability theory -- Some maximum principles for Itรด 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 -- Thรฉorie de Fuchs sur une variรฉtรฉ 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 -- Diffรฉomorphismes 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


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