RATING THE PERFORMANCE OF SHOOTING METHODS FOR THE COMPUTATION OF PERIODIC ORBITS

DOI10.1142/S0218127406014721zbMath1101.37316MaRDI QIDQ5484850

Pascal Heider

Publication date: 21 August 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsconditioning numberphase condition

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Approximation methods and numerical treatment of dynamical systems (37M99)

Uses Software

• BIFPACK
• COLSYS
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Cites Work

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• DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations
• Numerical computation of heteroclinic orbits
• Elements of applied bifurcation theory.
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• Collocation Software for Boundary-Value ODEs
• The Conditioning of Linear Boundary Value Problems

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