Stability on finite time interval and time-dependent bifurcation analysis of Duffing's equations

DOI10.1016/S1007-5704(99)90039-4zbMath0947.34025OpenAlexW2037787679MaRDI QIDQ1970789

Cuncai Hua, Qi-Shao Lu

Publication date: 25 October 2000

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(99)90039-4

zbMATH Keywords

dynamic bifurcationDuffing's equationstability on finite time interval

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Asymptotic properties of solutions to ordinary differential equations (34D05) Bifurcation theory of functional-differential equations (34K18)

Cites Work

• Sudden change in a second-order nonlinear system with a slowly varying parameter
• Parametric studies of the dynamic evolution through a fold
• Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems
• Imperfect Bifurcation with a Slowly-Varying Control Parameter
• Dynamic Bifurcation in Hamiltonian Systems with One Degree of Freedom
• Slow Passage Through a Pitchfork Bifurcation

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