Multiple scales for two-parameter bifurcations in a neutral equation

DOI10.1007/s11071-012-0429-8zbMath1267.34127OpenAlexW1967725972MaRDI QIDQ354043

Weihua Jiang, Ben Niu

Publication date: 17 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0429-8

zbMATH Keywords

quasi-periodic solutionstrange attractormultiple scalesvan der Pol's equationcodimension two bifurcationneutral differential-difference equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

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Cites Work

• Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
• Normal forms for NFDEs with parameters and application to the lossless transmission line
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Introduction to functional differential equations
• Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
• Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
• Stability and bifurcation analysis in a kind of business cycle model with delay
• Restrictions and unfolding of double Hopf bifurcation in functional differential equations
• Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Control of chaos via extended delay feedback
• Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
• BIFURCATION ANALYSIS OF A NFDE ARISING FROM MULTIPLE-DELAY FEEDBACK CONTROL
• The nonresonant double Hopf bifurcation in delayed neural network
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Differentiable dynamical systems
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