Normal forms for NFDEs with parameters and application to the lossless transmission line
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Publication:840427
DOI10.1007/S11071-007-9271-9zbMath1187.34094OpenAlexW2015016760MaRDI QIDQ840427
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9271-9
Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Neutral functional-differential equations (34K40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)
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Cites Work
- Unnamed Item
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- Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure
- Applications of centre manifold theory
- Stability and forced oscillations
- Integral averaging and bifurcation
- Introduction to functional differential equations
- On perturbations of delay-differential equations with periodic orbits.
- Multiple slowly oscillating periodic solutions in coupled lossless transmission lines
- Periodic solutions for higher-order neutral differential equations with several delays
- Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Stability of functional differential equations of neutral type
- On the asymptotic behavior of solutions of differential-difference equations of neutral type
- Stability in the critical case of purely imaginary roots for neutral functional differential equations
- Hopf bifurcation calculations for scalar neutral delay differential equations
- Ck centre unstable manifolds
- Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type
- Nonlinear oscillations in a distributed network
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