Results 221 to 230 of about 15,425 (247)
Some of the next articles are maybe not open access.
Inferring bifurcation diagrams with transformers
Chaos: An Interdisciplinary Journal of Nonlinear ScienceThe construction of bifurcation diagrams is an essential component of understanding nonlinear dynamical systems. The task can be challenging when one knows the equations of the dynamical system and becomes much more difficult if only the underlying data associated with the system are available.
Lyra Zhornyak +2 more
openaire +3 more sources
Hero’s journey in bifurcation diagram
Communications in Nonlinear Science and Numerical Simulation, 2012Abstract The hero’s journey is a narrative structure identified by several authors in comparative studies on folklore and mythology. This storytelling template presents the stages of inner metamorphosis undergone by the protagonist after being called to an adventure.
L.H.A. Monteiro, P.N. Mustaro
openaire +1 more source
Experimentally Observed Bifurcation Diagrams
2002Extensive studies of structures and materials undergoing perfect and imperfect bifurcation have been conducted. Bifurcation of structures can be highlighted, e.g., by Ziegler, 1968, 1977 [196]; Thompson and Hunt, 1973, 1984 [174], [175]; Ben-Haim and Elishakoff, 1990 [14]; Bažant and Cedolin, 1991 [12]; and references therein.
Kiyohiro Ikeda, Kazuo Murota
openaire +1 more source
Geometry of bifurcation diagrams
Journal of Soviet Mathematics, 1984This paper contains some results on the geometrical properties of bifurcation varieties of sets and bifurcation varieties of functions for the simple singularities on manifolds with boundary. Let \(f(x):({\mathbb{C}}^ n,0)\to ({\mathbb{C}},0)\) be a function with critical point 0 and \(F(x,\lambda)=f(x)+\sum\lambda_ i\phi_ i(x), i=0,...,\mu -1 ...
openaire +3 more sources
Germs of bifurcation diagrams and SN–SN families
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021We study the geometry of the bifurcation diagrams of the families of vector fields in the plane. Countable number of pairwise non-equivalent germs of bifurcation diagrams in the two-parameter families is constructed. Previously, this effect was discovered for three parameters only.
openaire +2 more sources
S-shaped bifurcation diagrams in exterior domains
Positivity, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chhetri, Maya +2 more
openaire +2 more sources
Bifurcation diagram of coupled thermoacoustic chaotic oscillators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018A thermoacoustic chaotic oscillator is a fluid system that presents thermally induced chaotic oscillations of a gas column. This study experimentally reports a bifurcation diagram when two thermoacoustic chaotic oscillators are dissipatively coupled to each other.
Rémi, Delage +2 more
openaire +2 more sources
Bifurcation diagrams of coupled Schrödinger equations
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Essman, Michael, Shi, Junping
openaire +1 more source
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
openaire +2 more sources
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 \(
openaire +2 more sources