Saddle-node bifurcationBifurcation diagramParameter transformationMathematical modelingIn this article, we introduce and study the carryover of a saddle-node bifurcation, a concept that describes how a saddle-node bifurcation of a dynamical system is carried over into an extended dynamical system obtained...
The saddle-node-transcritical bifurcation in a population model with constant rate harvesting. Dynamics of Continuous Discrete and Impulsive Systems-Series B-Mathematical Analysis 14, 233-250.Saputra, K.V.I., van Veen, L. and Quispel, G.R.W., The saddle-node-transcritical bifurcation in a ...
bifurcation diagramsaddle-node bifurcationscomputer-assisted proofconstructive implicit function theoremThe use of rigorous verification methods is a powerful tool ... E Sander,T Wanner - 《Siam J.appl.dyn.syst》 被引量: 0发表: 2016年 On bifurcations of multidimensional diffeomorphisms having a homocli...
saddle node bifurcation鞍结分岔 1.It was proved that there exist homoclinic trajectories of a quadratic system in the range of the parameter of thesaddle node bifurcation.在鞍结分岔的参数范围内证明了具有鞍结分岔的二次系统都存在同宿轨道 ,得到了同宿轨道的解析表达式及其幅值与分岔参数的关系 。 2....
We also discuss the bifurcation diagram of limit cycles for a graphic in the lips.doi:10.1017/S0143385702000391DUMORTIER, F.ILYASHENKO, Y.ROUSSEAU, C.Ergodic Theory & Dynamical SystemsF. Dumortier, Y. Ilyashenko and C. Rousseau, Normal forms near a saddle-node and applications to finite ...
Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation Anton Melnikov, Hermann A. G. Schenk, Jorge M. Monsalve, Franziska Wall, Michael Stolz, Andreas Mrosk, Sergiu Langa & Bert Kaiser Microsystems & Nanoengineering volume 7,...
We also introduce a general approach for computing canard orbits in \(\mathbb{R}^{4}\) and then test it for the extended normal form of a folded node. In Sect. 5, we investigate the underlying dynamics of the full four-dimensional Hodgkin–Huxley model. A bifurcation analysis of MMOs ...
bifurcation diagramWe complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the respective traces T and u03c4: one 2-codimensional bifurcation; four kinds of 1-codimensional bifurcations. We stratify the bifurcation set in the (T,u03c4)-plane and we ...
The dominant features are (1) a 2:1 anharmonic resonance between the bending mode and the OCl stretching mode, which is gradually tuned in as the energy increases, and (2) a saddle-node bifurcation, i.e., the sudden birth of a new family of states. The bifurcation is further ...
In particular, we focus on the dynamics and structure of unstable periodic orbits and chaotic saddles within a periodic window of the bifurcation diagram, at the onset of a saddle-node bifurcation and of an attractor merging crisis, and in the chaotic regions associated with type-I intermittency...