Results 81 to 90 of about 747,954 (250)

Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés   +3 more
doaj   +1 more source

Fast-Slow Coupling Dynamics Behavior of the van der Pol-Rayleigh System

open access: yesMathematics, 2021
In this paper, the dynamic behavior of the van der Pol-Rayleigh system is studied by using the fast–slow analysis method and the transformation phase portrait method.
Danjin Zhang, Youhua Qian
doaj   +1 more source

Some results on the dynamics generated by the Bazykin model

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2006
A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamical systems (1985)] is analyzed in the case when two of the four parameters are kept fixed.
Georgescu, R M, Georgescu, A
doaj   +1 more source

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double complex
Joan Artés   +4 more
doaj   +1 more source

Center manifold reduction for large populations of globally coupled phase oscillators

open access: yes, 2011
A bifurcation theory for a system of globally coupled phase oscillators is developed based on the theory of rigged Hilbert spaces. It is shown that there exists a finite-dimensional center manifold on a space of generalized functions. The dynamics on the
Chiba, Hayato   +2 more
core   +1 more source

Local theory of the slanted homoclinic snaking bifurcation diagram.

open access: yesPhysical review. E, Statistical, nonlinear, and soft matter physics, 2008
Localized states in out of equilibrium one-dimensional systems are described by the homoclinic snaking associated with the infinite sequence of multibump localized solutions of the corresponding time reversible dynamical system.
U. Bortolozzo, M. G. Clerc, S. Residori
semanticscholar   +1 more source

On the construction and properties of weak solutions describing dynamic cavitation [PDF]

open access: yes, 2013
We consider the problem of dynamic cavity formation in isotropic compressible nonlinear elastic media. For the equations of radial elasticity we construct self-similar weak solutions that describe a cavity emanating from a state of uniform deformation.
Miroshnikov, Alexey   +1 more
core  

Regularization around a generic codimension one fold-fold singularity

open access: yes, 2018
This paper is devoted to study the generic fold-fold singularity of Filippov systems on the plane, its unfoldings and its Sotomayor-Teixeira regularization.
Bonet-Revés, Carles   +2 more
core   +1 more source

Disjoint bifurcation diagrams in combustion systems

open access: yesMathematical and Computer Modelling, 1991
It is shown that the classical non-dimensionalisation of many simple combusting systems is sufficiently nonlinear to conceal some of the differences in behaviour shown when different bifurcation parameters are varied quasi-statically to produce bifurcation diagrams.
Graeme C. Wake   +2 more
openaire   +2 more sources

Dynamic bifurcation for the granulation convection in the solar photosphere

open access: yesBoundary Value Problems, 2017
The main objective of this paper is to investigate the dynamic bifurcation for the granulation convection in the solar photosphere. Based on the dynamic bifurcation theory, which is established by Ma and Wang (Phase transition dynamics, pp. 380-459, 2014)
Junyan Li
doaj   +1 more source

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