Results 31 to 40 of about 37,406 (286)

Accurately model the Kuramoto--Sivashinsky dynamics with holistic discretisation [PDF]

, 2005
We analyse the nonlinear Kuramoto--Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse grids. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models the dynamics ...
A. J. Roberts, Roberts A., Roberts A., T. MacKenzie   +3 more
core   +2 more sources

Smoothness property for bifurcation diagrams [PDF]

Publicacions Matemàtiques, 1997
Strata of bifurcation sets related to the nature of the singular points or to connections between hyperbolic saddles in smooth families of planar vector fields, are smoothly equivalent to sub-analytic sets. But it is no longer true when the bifurcation is related to transition near singular points, for instance for a line of double limit cycles in a ...
openaire   +6 more sources

The existence of chaotic regimes of the fractional analogue of the Duffing-type oscillator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In this paper, we study the chaotic regimes of the fractional Duffing oscillator. To do this, using the Wolf algorithm with Gram-Schmidt orthogonalization, we calculated the spectra of maximum Lyapunov exponents depending on the values of the control ...
Roman Ivanovich Parovik
doaj   +1 more source

The bifurcation diagrams for the Ginzburg-Landau system for superconductivity

, 2001
In this paper, we provide the different types of bifurcation diagrams for a superconducting cylinder placed in a magnetic field along the direction of the axis of the cylinder.
Aftalion, Aftalion, Akkermans, Amandine Aftalion, Baelus, Bauman, Bernoff, Bolley, Chapman, Chapman, Chapman, Deo, Deo, Du, Du, Du, Du, Ginzburg, Giorgi, Li, Lin, Lu, Lu, Lu, Qiang Du, Saint-James, Sandier, Schweigert, Schweigert, Serfaty, Wang   +30 more
core   +2 more sources

The role of noise and initial conditions in the asymptotic solution of a bounded confidence, continuous-opinion model [PDF]

, 2012
We study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration.
Adrián Carro, C. Castellano, E. Ben-Naim, G. Deffuant, G. Weisbuch, J. Lorenz, J. Lorenz, J. Lorenz, M. Mäs, M. Pineda, M. Pineda, M. Porfiri, M.F. Laguna, Maxi San Miguel, R. Hegselmann, Raúl Toral, U. Krause   +16 more
core   +3 more sources

Some bifurcation diagrams for Taylor vortex flows [PDF]

The Physics of Fluids, 1985
The numerical continuation and bifurcation methods of Keller [H. B. Keller, in Applications of Bifurcation Theory (Academic, New York, 1977), pp. 359–384] are used to study the variation of some branches of axisymmetric Taylor vortex flow as the wavelength in the axial direction changes.
Meyer-Spasche, Rita, Keller, H. B.
openaire   +4 more sources

Quantum bifurcation diagrams

, 2016
Asymptotic state of an open quantum system can undergo qualitative changes upon small variation of system parameters. We demonstrate it that such 'quantum bifurcations' can be appropriately defined and made visible as changes in the structure of the asymptotic density matrix. By using an $N$-boson open quantum dimer, we present quantum diagrams for the
Ivanchenko, M., Kozinov, E., Volokitin, V., Liniov, A., Meyerov, I., Denisov, S.   +5 more
openaire   +2 more sources

Bifurcation diagrams of the buck converter

9th International Conference on Electronics, Circuits and Systems, 2003
The steady-state responses of the buck converter are determined by means of computer simulation and presented in a form of one-parameter bifurcation diagrams and two-parameter bifurcation diagrams. It is shown that analysed converter can be driven into chaos through a process of period doublings for each of the three chosen bifurcation parameters: the ...
Flegar, Ivan, Pelin, Denis, Davor, Žaček   +2 more
openaire   +2 more sources

Fold-Saddle Bifurcation in Non-Smooth Vector Fields on the Plane

, 2010
This paper presents results concerning bifurcations of 2D piecewise-smooth dynamical systems governed by vector fields. Generic three parameter families of a class of Non-Smooth Vector Fields are studied and its bifurcation diagrams are exhibited.
Andronov A., CLAUDIO AGUINALDO BUZZI, Dumortier F., Dumortier F., Kozlova V. S., MARCO ANTONIO TEIXEIRA, Teixeira M. A., Teixeira M. A., Teixeira M. A., TIAGO DE CARVALHO, Vishik S. M.   +10 more
core   +2 more sources

Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz, Christopher H. Thompson, Linda C. Laux, Alfred L. George Jr.   +3 more
wiley   +1 more source