Perturbation methods, bifurcation theory and computer algebra
Perturbation methods, bifurcation theory and computer algebra
Nonlinear differential equations and dynamical systems
Nonlinear differential equations and dynamical systems
Computer generation of normalizing transformation for systems of nonlinear ODE
ISSAC '93 Proceedings of the 1993 international symposium on Symbolic and algebraic computation
An algorithm for the computation of normal forms and invariant manifolds
ISSAC '93 Proceedings of the 1993 international symposium on Symbolic and algebraic computation
Computer evaluation of cyclicity in planar cubic system
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
Mathematics and Computers in Simulation - Special issue: Simplification of systems of algebraic and differential equations with applications
A symbolic approximation of periodic solutions of the Henon-Heiles system by the normal form method
Mathematics and Computers in Simulation - Special issue: Simplification of systems of algebraic and differential equations with applications
Investigation of the Double Pendulum System by the Normal Form Method in MATHEMATICA
Programming and Computing Software
Normal forms and integrability of ODE systems
Programming and Computing Software
On Integrability of a Planar ODE System Near a Degenerate Stationary Point
CASC '09 Proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing
CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
Programming and Computing Software
Normal forms of two p :: -q resonant polynomial vector fields
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
Calculation of normal forms of the euler---poisson equations
CASC'12 Proceedings of the 14th international conference on Computer Algebra in Scientific Computing
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The normal form method is widely used in the theory of nonlinear ordinary differential equations (ODEs). But in practice it is impossible to evaluate the corresponding transformations without computer algebra packages. Here we describe an algorithm for normalization of nonlinear autonomous ODEs. Some implementations of these algorithms are also discussed.