Mechanism of producing a saddle-node bifurcation with the coalescence of two unstable periodic orbits

DOI10.1016/S0960-0779(01)00147-3zbMath1005.34037OpenAlexW1970124448MaRDI QIDQ1610081

Yung-Chia Hsiao, Pi-Cheng Tung

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00147-3

zbMATH Keywords

saddle-node bifurcationnonlinear systemsunstable periodic orbits

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

COALESCENCE OF THE TWO SECONDARY RESPONSES IN COUPLED DUFFING EQUATIONS

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The resonant vibration of homogeneous non-linear systems
• Bifurcations near 1:2 subharmonic resonance in a structural dynamics model
• A continuation algorithm for discovering new chaotic motions in forced Duffing systems
• HARMONIC BALANCE AND CONTINUATION TECHNIQUES IN THE DYNAMIC ANALYSIS OF DUFFING'S EQUATION
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• Efficient numerical treatment of periodic systems with application to stability problems
• Local methods in predicting occurrence of chaos in two-well potential systems: Superharmonic frequency region
• Impulsive Parametric Excitation: Theory
• Elements of applied bifurcation theory

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