Determinacy of degenerate equilibria with linear part \(x'=y\), \(y'=0\) using MACSYMA

DOI10.1016/0096-3003(87)90006-3zbMath0624.65068OpenAlexW2032653381MaRDI QIDQ578861

W. L. Keith, Richard H. Rand

Publication date: 1987

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(87)90006-3

zbMATH Keywords

van der Pol's equationdegenerate equilibriadeterminacy theoremsMACSYMA programsuccessive blowup transformations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Dynamics induced by flows and semiflows (37C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (4)

Synchrony Branching Lemma for Regular Networks ⋮ Symbolic computation of normal forms for nonlinear Hamiltonian systems ⋮ Holistic discretization ensures fidelity to Burgers' equation ⋮ Symbolic computation of normal forms for semi-simple cases

Uses Software

• MACSYMA

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity
• Singularities of vector fields

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