How a Broken Egg Attractor Has Influenced the Dynamics of My Life*
Autor: | Yoshisuke Ueda |
---|---|
Jazyk: | angličtina |
Předmět: |
Phenomenon of Synchronization
Phase portrait Chaotic Oscillation Asynchronous Beat Oscillation Chaotic Phase Portrait General Medicine Bifurcation Set Broken Egg Attractor Control theory Dynamics (music) Phenomenon Quenching Attractor Analog Computer Simulation Quasi-or Almost-Periodic Oscillation Statistical physics Frequency Entrainment Bifurcation Mathematics |
Zdroj: | Procedia IUTAM. :7-26 |
ISSN: | 2210-9838 |
DOI: | 10.1016/j.piutam.2012.06.003 |
Popis: | First, the Broken Egg Phenomenon (BEgg) which constitutes this symposium's starting point is presented. It was observed accidentallyinthe courseofthe author's analog computerexperimentsfora PeriodicallyForced Self-Oscillatory System, just50 years and5days ago. Then,experimental researches aregiven from another study conductedin accordance with the BEgg phenomenon which was implemented as an electronic circuit. Finally, the prescriptive systems are proposed in order to surveythe phenomena which occur in PeriodicallyForced Self-Oscillatory Systems. Among various steady states in the systems, regular (predictable) phenomena and their bifurcation sets are presented, covering all such phenomena that are readily observed, perhaps excepting some phenomena of so-called second kind. Various chaotic attractors are also collected, and it is shown that global bifurcations and classification of chaotic attractors are often related,butit seemstobeextremelydifficult to describe them completely. |
Databáze: | OpenAIRE |
Externí odkaz: |