Mode decomposition of global bifurcation diagram with Gröbner bases

DOI10.1016/S0375-9601(01)00794-0zbMath0979.37043MaRDI QIDQ5952610

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Publication date: 15 January 2002

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

discrete dynamical systemsperiodic pointsalgebraic representation

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (1)

Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases

Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Localization and primary decomposition of polynomial ideals
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Gröbner bases and primary decomposition of polynomial ideals
• A new method for solving algebraic systems of positive dimension
• Singularities and groups in bifurcation theory. Volume II
• Automatic classification of normal forms
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