Hopf bifurcation for a \(\varphi \)-Laplacian Liénard system
DOI10.1007/s12346-016-0217-9zbMath1396.34021OpenAlexW2554997168MaRDI QIDQ1641849
Publication date: 20 June 2018
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-016-0217-9
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
- Existence and uniqueness of limit cycles for generalized \(\phi\)-Laplacian Liénard equations
- Hopf bifurcation for two types of Liénard systems
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- Uniqueness of limit cycles for Liénard differential equations of degree four
- Limit cycles in generalized Liénard systems
- Estimating the number of limit cycles in polynomial systems
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- \(p\)-Laplacian and Liénard-type equation
- Hilbert's sixteenth problem for polynomial Liénard equations
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- Existence of limit cycles for Liénard-type systems with \(p\)-Laplacian
- The number of small-amplitude limit cycles of Liénard equations
- Limit cycles of the generalized polynomial Liénard differential equations
- Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
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