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Bifurcation diagrams of coupled Schrödinger equations
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Essman, Michael, Shi, Junping
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Time series-based bifurcation diagram reconstruction
Physica D: Nonlinear Phenomena, 1999The main idea that the authors use is the ability of neural networks to learn general solutions to problems if given an appropriate set of specific examples. In the centre of interest is the problem of reconstructing bifurcation diagrams of dynamical systems without the knowledge of its functional form and its dependence of the parameter. By using time
Bagarinao, Epifanio jun. +3 more
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Bifurcation diagrams of quadratic differentials
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997The author studies the versal deformations of quadratic differentials \(z^{m+1} dz^2\). Such a differential element defines a couple of orthogonal foliations on the Riemannian surface of \(z\). The main result of the paper is that the bifurcation diagram in the basis of versal deformation of the singularity \(A_m\) (i.e. of the quadratic differential \(
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Experimental Bifurcation Diagram of Furuta Pendulum
Volume 3: Modeling and Validation; Multi-Agent and Networked Systems; Path Planning and Motion Control; Tracking Control Systems; Unmanned Aerial Vehicles (UAVs) and Application; Unmanned Ground and Aerial Vehicles; Vibration in Mechanical Systems; Vibrations and Control of Systems; Vibrations: Modeling, Analysis, and Control, 2018The Furuta pendulum is a two degree of freedom mechanical system that serves as an excellent and simple device to check control strategies applied for strongly nonlinear mechanical structures. Stability results related to certain stationary motions of the Furuta pendulum are compared to experimental observations, and conclusions are obtained regarding ...
Mate B. Vizi, Gabor Stepan
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Bifurcation Diagram of Model Chemical Reactions
1979info:eu-repo/semantics/published ; Far from Equilibrium, (Ed. C.
Kaufman, Marcelle, Erneux, Thomas
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Using Bifurcation Diagrams for Controlling Chaos
2014In this chapter, a methodology to compute chaos controllers based on bifurcation diagrams is proposed and applied to PWM-controlled power converters. The technique is based on an adaptive control where the offset of the T-periodic sawtooth signal is modified. Basically, the sawtooth is redefined as a function of the output and reference voltages.
Daniel Morcillo +3 more
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Continuous-Time Density-Colored Bifurcation Diagrams
International Journal of Bifurcation and ChaosThis work extends the construction of the density-colored bifurcation diagrams proposed by [ Moysis et al. , 2023 ] to continuous-time systems, and discusses several variations of them. These diagrams depict the histogram density of the local maxima in the underlying time series solution, using color grading.
Lazaros Moysis +3 more
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