Results 191 to 200 of about 710,736 (219)
Some of the next articles are maybe not open access.
SIAM Review, 1989
The careful observation of the dynamics of a kite in flight hints at the possibility of multiple equilibrium states. An application of bifurcation theory to a simplified model of kite flight bears out this assertion by proving the existence of a limit point bifurcation in the wind velocity/kite string angle ...
openaire +2 more sources
The careful observation of the dynamics of a kite in flight hints at the possibility of multiple equilibrium states. An application of bifurcation theory to a simplified model of kite flight bears out this assertion by proving the existence of a limit point bifurcation in the wind velocity/kite string angle ...
openaire +2 more sources
ON THE BIFURCATION AND REPRESSION THEORIES [PDF]
Folia Linguistica Historica, 1997 Plusieurs chercheurs ont conteste la theorie de la bifurcation de Theo Vennemann, qui propose un nouvel inventaire des consonnes pour le proto germanique, tout en reconceptualisant le Second Changement de Consonne. Vennemann a, quant a lui, continue a publier de nouveaux arguments et de nouvelles preuves pour etayer sa theorie controversee.
openaire +1 more source
1983
In this lecture we consider the effects of symmetry on bifurcation problems. Even a simple reflectional symmetry can have important consequences. For example, recall the two problems with the elastic from Lectures 1 and 2 which exhibited pitchfork bifurcations. Why should the pitchfork ever be seen?
openaire +2 more sources
In this lecture we consider the effects of symmetry on bifurcation problems. Even a simple reflectional symmetry can have important consequences. For example, recall the two problems with the elastic from Lectures 1 and 2 which exhibited pitchfork bifurcations. Why should the pitchfork ever be seen?
openaire +2 more sources
1992
Publisher Summary This chapter presents an overview of the bifurcation theory. This theory is applicable to nonlinear differential equations. Given a nonlinear differential equation that depends on a set of parameters, the number of distinct solutions may change as the parameters change.
openaire +2 more sources
Publisher Summary This chapter presents an overview of the bifurcation theory. This theory is applicable to nonlinear differential equations. Given a nonlinear differential equation that depends on a set of parameters, the number of distinct solutions may change as the parameters change.
openaire +2 more sources
Bifurcations in persistence theory
Applied Mathematics and Computation, 1996For models of population growth represented by systems of autonomous ordinary differential equations, the question of whether persistence outcomes may be changed, due to violation of one of the standard assumptions, by means of a perturbation leading to bifurcations is investigated. The results are illustrated by several examples.
H. I. Freedman, P. Moson
openaire +2 more sources
Bifurcation Theory and Bistability
2013In this chapter, we will recapitulate the essential concepts, definitions and theorems of the Lyapunov and Andronov stability theories of dynamical systems. The global aim is to prepare the reader for the mathematical abstraction of biological switches and hysteresis phenomena.
openaire +2 more sources
Introduction to Bifurcation Theory
2014One-dimensional bifurcations are discussed for scalar equations and planar systems. Results on Hopf bifurcations for planar systems are derived using the Lyapunov function method and the Friedrich method.
openaire +2 more sources
Mathematical Theory of Bifurcation
1980One of the first studies of bifurcation is due to Euler (1744), who treated the buckling of a column subjected to axial compression (the so-called Elastica). He considered the following boundary-value problem $$\left\{ {\begin{array}{*{20}{c}} {\theta '' + \lambda \sin \theta = o} \\ {\theta '\left( o \right) = \theta '(1) = o} \\ \end{array ...
Michael G. Crandall, Paul H. Rabinowitz
openaire +2 more sources
Catastrophe Theory and Bifurcation
Journal of the Operational Research Society, 1982(1982). Catastrophe Theory and Bifurcation. Journal of the Operational Research Society: Vol. 33, No. 1, pp. 106-106.
openaire +2 more sources
An Overview of Bifurcation Theory
2002In this appendix we want to provide a brief introduction and discussion of the concepts of dynamical systems and bifurcation theory which has been used in the preceding sections. We refer the reader interested in a more thorough discussion of the mathematical results of dynamical systems and bifurcation theory to the books of Wiggins (1990) and ...
openaire +2 more sources