Algebraic Analysis of Stability and Bifurcation of a Self-assembling Micelle System - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Applied Mathematics and Computation Year : 2012

Algebraic Analysis of Stability and Bifurcation of a Self-assembling Micelle System

Wei Niu
  • Function : Author
Dongming Wang
  • Function : Author
  • PersonId : 835371

Abstract

In this paper, we analyze stability, bifurcations, and limit cycles for the cubic self-assembling micelle system with chemical sinks using algebraic methods and provide a complete classification of the stability and types of steady states in the hyperbolic case. Hopf bifurcation, saddle-node bifurcation, and Bogdanov-Takens bifurcation are also analyzed. Exact algebraic conditions on the four parameters of the system are derived to describe the stability and types of steady states and the kinds of bifurcations. It is shown that three limit cycles can be constructed from a Hopf bifurcation point by small perturbation

Dates and versions

hal-00779245 , version 1 (21-01-2013)

Identifiers

Cite

Wei Niu, Dongming Wang. Algebraic Analysis of Stability and Bifurcation of a Self-assembling Micelle System. Applied Mathematics and Computation, 2012, 219 (1), pp.108-121. ⟨10.1016/j.amc.2012.04.087⟩. ⟨hal-00779245⟩
172 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More