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The Computer Algebra and Differential Equations meeting held in France in June 1992 (CADE-92) was the third of a series of biennial workshops devoted to recent developments in computer algebra systems. This book contains selected papers from that meeting. Three main topics are discussed. The first of these is the theory of D-modules. This offers an excellent way to effectively handle linear systems of partial differential equations. The second topic concerns the theoretical aspects of dynamical systems, with an introduction to Ecalle theory and perturbation analysis applied to differential equations and other nonlinear systems. The final topic is the theory of normal forms. Here recent improvements in the theory and computation of normal forms are discussed.

D-modules --- Differentiable dynamical systems --- Normal forms (Mathematics) --- Algebra --- Differential equations --- 517.91 Differential equations --- Forms, Normal (Mathematics) --- Mathematics --- Modules (Algebra) --- Data processing --- 517.91 --- #KVIV:BB --- 517.982.4 --- 517.982.4 Theory of generalized functions (distributions) --- Theory of generalized functions (distributions) --- Mathematical analysis --- Data processing&delete& --- Congresses --- Numerical solutions&delete& --- Algèbre --- Dynamique différentiable --- Equations différentielles --- Informatique --- Congrès --- Ordered algebraic structures --- Numerical solutions --- D-modules - Congresses --- Differentiable dynamical systems - Congresses --- Normal forms (Mathematics) - Congresses --- Algebra - Data processing - Congresses --- Differential equations - Congresses