Results 11 to 20 of about 83,406,543 (211)
The classification of corank one forced symmetry breaking [PDF]
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
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Stability calculations for piecewise-smooth delay equations [PDF]
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
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Control based bifurcation analysis for experiments [PDF]
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.
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Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
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
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Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
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
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Higher-order finite-difference methods for partial differential equations [PDF]
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
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Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]
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
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
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
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Bifurcation analysis of a multi-transverse-mode VCSEL [PDF]
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
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The classification of bifurcations with hidden symmetries [PDF]
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
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