Results 11 to 20 of about 83,406,543 (211)

The classification of corank one forced symmetry breaking [PDF]

open access: yes, 2007
Forced-symmetry breaking occurs when a bifurcation equation changes its symmetry when a parameter varies. It is to be contrasted with the phenomena of spontaneous symmetry breaking when the symmetry of the equations are kept constant but the symmetry of
Sitta, AM, Furter, JE
core   +6 more sources

Stability calculations for piecewise-smooth delay equations [PDF]

open access: yes, 2008
This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using ...
Barton, DAW
core   +1 more source

Control based bifurcation analysis for experiments [PDF]

open access: yes, 2008
We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
core   +2 more sources

Collocation schemes for periodic solutions of neutral delay differential equations [PDF]

open access: yes, 2005
We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE   +8 more
core   +1 more source

Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]

open access: yes, 1972
The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core   +1 more source

Higher-order finite-difference methods for partial differential equations [PDF]

open access: yes, 1997
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
core   +7 more sources

Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]

open access: yes, 2005
Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
core   +1 more source

Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]

open access: yes, 2009
The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM   +3 more
core   +1 more source

Bifurcation analysis of a multi-transverse-mode VCSEL [PDF]

open access: yes, 2008
We study the behaviour of a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback in which the optical modes are coupled through the external round-trip. Starting from a delayed partial differential equation description
Green, K, Green, K., Krauskopf, B
core   +1 more source

The classification of bifurcations with hidden symmetries [PDF]

open access: yes, 2000
We set up a singularity-theoretic framework for classifying one-parameter steady-state bifurcations with hidden symmetries. This framework also permits a non-trivial linearization at the bifurcation point.
Manoel, Míriam, Stewart, Ian
core   +1 more source

Home - About - Disclaimer - Privacy