Literature DB >> 11289978

Grazing and border-collision in piecewise-smooth systems: a unified analytical framework.

M di Bernardo1, C J Budd, A R Champneys.   

Abstract

A comprehensive derivation is presented of normal form maps for grazing bifurcations in piecewise smooth models of physical processes. This links grazings with border-collisions in nonsmooth maps. Contrary to previous literature, piecewise linear maps correspond only to nonsmooth discontinuity boundaries. All other maps have either square-root or (3/2)-type singularities.

Year:  2001        PMID: 11289978     DOI: 10.1103/PhysRevLett.86.2553

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  2 in total

1.  Synchronization of firing in cortical fast-spiking interneurons at gamma frequencies: a phase-resetting analysis.

Authors:  Nathan W Gouwens; Hugo Zeberg; Kunichika Tsumoto; Takashi Tateno; Kazuyuki Aihara; Hugh P C Robinson
Journal:  PLoS Comput Biol       Date:  2010-09-30       Impact factor: 4.475

2.  Cascades on a stochastic pulse-coupled network.

Authors:  C M Wray; S R Bishop
Journal:  Sci Rep       Date:  2014-09-12       Impact factor: 4.379

  2 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.