Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert's Sixteenth Problem.- Estimating Limit Cycle Bifurcations from Centers.- Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems.- Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems.- Time-Reversibility in Two-Dimensional Polynomial Systems.- On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems.- Symbolic Computation for Equilibria of Two Dynamic Models.- Attractive Regions in Power Systems by Singular Perturbation Analysis.- Algebraic Multiplicity and the Poincaré Problem.- Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations.- Looking for Periodic Solutions of ODE Systems by the Normal Form Method.- Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations.- Factoring Partial Differential Systems in Positive Characteristic.- On the Factorization of Differential Modules.- Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws.- Partial and Complete Linearization of PDEs Based on Conservation Laws.- CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations.- Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory.- On "Good" Bases of Algebraico-Differential Ideals.- On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier-Janet Theory.
Inhaltsverzeichnis
Symbolic Computation of Lyapunov Quantities and the Second Part of Hilbert s Sixteenth Problem. - Estimating Limit Cycle Bifurcations from Centers. - Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems. - Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems. - Time-Reversibility in Two-Dimensional Polynomial Systems. - On Symbolic Computation of the LCE of N-Dimensional Dynamical Systems. - Symbolic Computation for Equilibria of Two Dynamic Models. - Attractive Regions in Power Systems by Singular Perturbation Analysis. - Algebraic Multiplicity and the Poincaré Problem. - Formalizing a Reasoning Strategy in Symbolic Approach to Differential Equations. - Looking for Periodic Solutions of ODE Systems by the Normal Form Method. - Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations. - Factoring Partial Differential Systems in Positive Characteristic. - On the Factorization of Differential Modules. - Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws. - Partial and Complete Linearization of PDEs Based on Conservation Laws. - CONSLAW: A Maple Package to Construct the Conservation Laws for Nonlinear Evolution Equations. - Generalized Differential Resultant Systems of Algebraic ODEs and Differential Elimination Theory. - On Good Bases of Algebraico-Differential Ideals. - On the Construction of Groebner Basis of a Polynomial Ideal Based on Riquier Janet Theory.
