Results 291 to 300 of about 73,924 (320)

Computing 3D Bifurcation Diagrams

AIP Conference Proceedings, 2008
The nature and localization of critical parameter sets called bifurcations is a central issue in nonlinear dynamical system theory. Codimension‐1 bifurcations form hypersurfaces in parameter space. Some bifurcations of higher codimension can be identified as intersections of these surfaces.
D. Stiefs, T. Gross, VENTURINO, Ezio, U. Feudel   +3 more
openaire   +2 more sources

Qualitative bifurcation diagrams

Expert Systems, 2013
AbstractWe explore the use of qualitative reasoning to predict the behaviour of a dynamical system given a change in one of its parameters based upon a qualitative representation of its bifurcation diagram. We present three algorithms to perform this task.
Hector Rodriguez, Arthur M. Farley, Juan J. Flores, Andrzej Proskurowski   +3 more
openaire   +1 more source

VISUALIZING BIFURCATIONS IN HIGH DIMENSIONAL SYSTEMS: THE SPECTRAL BIFURCATION DIAGRAM

International Journal of Bifurcation and Chaos, 2003
This paper presents methods to visualize bifurcations in flows of nonlinear dynamical systems, using the Lorenz '96 systems as examples. Three techniques are considered; the first two, density and max/min diagrams, are analagous to the bifurcation diagrams used for maps, which indicate how the system's behavior changes with a control parameter ...
Orrell, David, Smith, Leonard A.
openaire   +2 more sources

Inferring bifurcation diagrams with transformers

Chaos: An Interdisciplinary Journal of Nonlinear Science
The 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, M. Ani Hsieh, Eric Forgoston   +2 more
openaire   +3 more sources

Hero’s journey in bifurcation diagram

Communications in Nonlinear Science and Numerical Simulation, 2012
Abstract 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

2002
Extensive 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, 1984
This 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, 2021
We 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, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chhetri, Maya, Drábek, Pavel, Shivaji, Ratnasingham   +2 more
openaire   +2 more sources

Bifurcation diagram of coupled thermoacoustic chaotic oscillators

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018
A 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, Yusuke, Takayama, Tetsushi, Biwa   +2 more
openaire   +2 more sources