Computation of Periodic Solutions of Differential-Algebraic Equations in the Neighborhood of Hopf Bifurcation Points

DOI10.1142/S0218127497001874zbMath0913.34034OpenAlexW1990208619MaRDI QIDQ4213831

Rolf Neubert, Qing Hua Zheng

Publication date: 7 June 1999

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

Full work available at URL: https://doi.org/10.1142/s0218127497001874

zbMATH Keywords

periodic solutionsdifferential-algebraic equationsHopf bifurcation pointselectrical circuit simulator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of dynamical systems (37N99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

THE COLPITTS OSCILLATOR: FAMILIES OF PERIODIC SOLUTIONS AND THEIR BIFURCATIONS

Uses Software

• COLNEW

Cites Work

• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• Integration schemes for highly oscillatory DAEs with applications to circuit simulation
• Collocation Software for Boundary Value Differential-Algebraic Equations
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• PREDICTOR-CORRECTOR TECHNIQUES FOR DETECTING HOPF BIFURCATION POINTS

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