Detecting period-doubling bifurcation: an approximate monodromy matrix approach.

DOI10.1016/S0005-1098(01)00131-5zbMath1056.93550MaRDI QIDQ5950252

Guan-Rong Chen, Jorge L. Moiola, Daniel W. Berns

Publication date: 2001

Published in: Automatica (Search for Journal in Brave)

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Bifurcation theory for ordinary differential equations (34C23) Dynamical systems in control (37N35)

Related Items

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Uses Software

• LOCBIF

Cites Work

• Unnamed Item
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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• A frequency method for predicting limit cycle bifurcations
• Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
• Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach
• Computing Periodic Orbits and their Bifurcations with Automatic Differentiation
• BIFURCATION DYNAMICS OF THREE-DIMENSIONAL SYSTEMS