STRONG AND WEAK RESONANCES IN DELAYED DIFFERENTIAL SYSTEMS
From MaRDI portal
Publication:2864942
DOI10.1142/S0218127413501198zbMath1275.34094OpenAlexW2074807174MaRDI QIDQ2864942
Wan-Yong Wang, Jian Xu, Xiuting Sun
Publication date: 27 November 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127413501198
Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Bifurcation theory of functional-differential equations (34K18) Multiple scale methods for ordinary differential equations (34E13)
Related Items
Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications ⋮ On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction
Cites Work
- Resonant non-linear normal modes. I: Analytical treatment for structural one-dimensional systems
- Resonant non-linear normal modes. II: Activation/orthogonality conditions for shallow structural systems
- Resonant Hopf-Hopf interactions in delay differential equations
- Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
- Bifurcation of nonlinear internal resonant normal modes of a class of multi-degree-of-freedom systems
- Multiple timescales analysis for 1:2 and 1:3 resonant Hopf bifurcations
- Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
- Multiple scales analysis for double Hopf bifurcation with 1:3~resonance
- Hopf bifurcation with non-semisimple 1:1 resonance
- The double Hopf bifurcation with 2:1 resonance
- Normal Modes of Vibration for Non-Linear Continuous Systems
- An Energy-Based Approach to Computing Resonant Nonlinear Normal Modes
- Quasiperiodic Bifurcation in Nonlinearly-Coupled Oscillators Near a Point of Strong Resonance
- An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
- Simple and double Hopf bifurcations in aeroelastic oscillators with tuned mass dampers.
This page was built for publication: STRONG AND WEAK RESONANCES IN DELAYED DIFFERENTIAL SYSTEMS
