Stability and bifurcation analysis of delay coupled Van der Pol-Duffing oscillators
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Publication:2436148
DOI10.1007/s11071-013-1047-9zbMath1281.34054OpenAlexW2079411970MaRDI QIDQ2436148
Yanduo Zhang, Tonghua Zhang, Hong Zang
Publication date: 21 February 2014
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-013-1047-9
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
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Cites Work
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- Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators
- Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling
- Strange attractors and synchronization dynamics of coupled van der Pol-Duffing oscillators
- Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
- Dynamical analysis of two coupled parametrically excited van der Pol oscillators
- Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators
- Chaos synchronization between single and double wells Duffing-Van der Pol oscillators using active control
- Singularities and groups in bifurcation theory. Volume II
- Integral averaging and bifurcation
- Introduction to functional differential equations
- Coupled nonlinear oscillators and the symmetries of animal gaits
- Existence of limit cycles for coupled van der Pol equations.
- The dynamics of two coupled van der Pol oscillators with delay coupling
- Stability and bifurcation analysis in the delay-coupled van der Pol oscillators
- Symmetric functional differential equations and neural networks with memory
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- The Method of Normal Forms
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