Characterization and computation of period doubling points by minimally exteded systems

DOI10.1080/10556789708805663zbMath0929.37011OpenAlexW2062527525MaRDI QIDQ4378110

Hubert Schwetlick, Stefan Schleiff

Publication date: 2 February 2000

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556789708805663

zbMATH Keywords

discrete dynamical systempitchfork bifurcation pointsexcited Duffing oscillatorminimally extended systemperiod doubling points

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Universality and renormalization of dynamical systems (37E20) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (1)

Iterative computation of the smallest singular value and the corresponding singular vectors of a matrix.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Algorithms for determination of period-doubling bifurcation points in ordinary differential equations
• Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
• Analysis and simulation of chaotic systems
• Characterization and Computation of Generalized Turning Points
• The Approximate Solution of Defining Equations for Generalized Turning Points

This page was built for publication: Characterization and computation of period doubling points by minimally exteded systems