Results 81 to 90 of about 747,954 (250)
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
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Fast-Slow Coupling Dynamics Behavior of the van der Pol-Rayleigh System
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
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Some results on the dynamics generated by the Bazykin model
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
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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
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Center manifold reduction for large populations of globally coupled phase oscillators
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
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Local theory of the slanted homoclinic snaking bifurcation diagram.
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]
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
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
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Disjoint bifurcation diagrams in combustion systems
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
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
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