Results 41 to 50 of about 311,588 (266)
On theoretical upper limits for valid timesteps of implicit ODE methods
AIMS Mathematics, 2019 Implicit methods for the numerical solution of initial-value problems may admit multiple solutions at any given time step. Accordingly, their nonlinear solvers may converge to any of these solutions.
Kevin R. Green +2 more
doaj +1 more source
Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem [PDF]
Nonlinear Analysis: Real World Applications 24 (2015) pp. 108-125, 2015 In this article we study topological bifurcations of critical orbits of equivariant gradient equations. We give necessary and sufficient conditions for the existence of global bifurcations of solutions of these equations. Moreover, we apply these abstract results to the study of bifurcations of new families of planar central configurations of the N ...
arxiv +1 more source
Journal of the Mathematical Society of Japan, 2019 Let f_t , where t is close to zero, be an analytic family of plane-to-plane mappings. There are presented effective methods of computing the number of cusps of f_t emanating from the origin and having positive/negative cusp degree.
openaire +4 more sources
Open Mathematics, 2019 In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
doaj +1 more source
An asymptotic structure of the bifurcation boundary of the perturbed Painlevé-2 equation [PDF]
, 2020 Solutions of the perturbed Painlev\'e-2 equation are typical for describing a dynamic bifurcation of soft loss of stability. The bifurcation boundary separates solutions of different types before bifurcation and before loss of stability. This border has a spiral structure.
arxiv +1 more source
Uniform approximations for non-generic bifurcation scenatios including bifurcations of ghost orbits [PDF]
Annals of Physics 277 (1999) 19-73, 1999 Gutzwiller's trace formula allows interpreting the density of states of a classically chaotic quantum system in terms of classical periodic orbits. It diverges when periodic orbits undergo bifurcations, and must be replaced with a uniform approximation in the vicinity of the bifurcations.
arxiv +1 more source
On Geodesic Bifurcations [PDF]
Geometry, Integrability and Quantization, 2017 In this paper we study fundamental equations of geodesics on surfaces of revolution. We obtain examples of existence of geodesic bifurcation.
Ryparová, Lenka, Mikeš, Josef
openaire +2 more sources
Possibility of Atherosclerosis in an Arterial Bifurcation Model
BioImpacts, 2011 Introduction: Arterial bifurcations are susceptible locations for formation of atherosclerotic plaques. In the present study, steady blood flow is investigated in a bifurcation model with a non-planar branch.
Omid Arjmandi-Tash +2 more
doaj +1 more source
Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model
Mathematical Biosciences and Engineering, 2019 The predation strategy for predators and the avoidance strategy of prey are important topics in ecology and evolutionary biology. Both prey and predators adjust their behaviours in order to gain the maximal benefits and to increase their biomass for each.
Saheb Pal +3 more
doaj +1 more source
Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis
Mathematical Biosciences and Engineering, 2019 The paper investigates the steady state bifurcation analysis in a general Ronsenzwing-MacArthur predator prey model with two prey-taxis under Neumann boundary conditions.
Xue Xu , Yibo Wang, Yuwen Wang
doaj +1 more source