THE HOMOTOPY ANALYSIS METHOD IN BIFURCATION ANALYSIS OF DELAY DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127412300248zbMath1258.34144MaRDI QIDQ4907005

Andrea Bel, Walter Reartes

Publication date: 1 March 2013

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

zbMATH Keywords

Hopf bifurcationdelay differential equationsvan der Pol equationhomotopy analysis methoddouble Hopf bifurcation

Mathematics Subject Classification ID

Theoretical approximation of solutions to functional-differential equations (34K07) Bifurcation theory of functional-differential equations (34K18)

Related Items (3)

Search for Periodic Orbits in Delay Differential Equations ⋮ Unnamed Item ⋮ Time-delay feedback control of a cantilever beam with concentrated mass based on the homotopy analysis method

Cites Work

• Analytical solution for van der Pol-Duffing oscillators
• Notes on the homotopy analysis method: some definitions and theorems
• Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt
• An analytic approximate approach for free oscillations of self-excited systems
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Solution of delay differential equations via a homotopy perturbation method
• On the homotopy analysis method for nonlinear problems.
• Homotopy perturbation technique
• Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback
• Beyond Perturbation

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