A combinatorial framework for analysis of global dynamics and bifurcations

Hiroshi Kokubu, Konstantin Mischaikow

Research output: Contribution to journalConference articlepeer-review


A combinatorial framework for analyzing global dynamics and bifurcations is presented. This idea has been implemented as a computer software and tested for several examples of two and three-dimensional maps, such as an agedependent population model called the nonlinear Leslie model, a coupled system of logistic maps called the coupled map lattice, etc.

Original languageEnglish (US)
Pages (from-to)195-198
Number of pages4
JournalProcedia IUTAM
StatePublished - 2012
EventIUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan
Duration: Nov 28 2011Dec 2 2011

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering


  • Conley index
  • Isolating neighborhood
  • Morse decomposition


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