Route to shrimps: Dissipation driven formation of shrimp-shaped domains

•Phase diagrams of the Keller–Miksis forced bubble oscillator.•Resonance family of the period-3 stable solution.•Dissipation driven formation of shrimp shaped periodic domains. In this paper, two scenarios for the formation of shrimp-shaped domains [1] are presented. The employed test model is the K...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Chaos, solitons and fractals Jg. 130; S. 109424
Hauptverfasser: Varga, Roxána, Klapcsik, Kálmán, Hegedűs, Ferenc
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.01.2020
Schlagworte:
Bifurcation structure
Bubble dynamics
GPU programming
High dissipation rate
Keller–Miksis equation
Shrimp-shaped domains
Bubble dynamics
High dissipation rate
GPU programming
Bifurcation structure
Shrimp-shaped domains
Keller–Miksis equation
ISSN:0960-0779, 1873-2887
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:•Phase diagrams of the Keller–Miksis forced bubble oscillator.•Resonance family of the period-3 stable solution.•Dissipation driven formation of shrimp shaped periodic domains. In this paper, two scenarios for the formation of shrimp-shaped domains [1] are presented. The employed test model is the Keller–Miksis equation that is a second order, harmonically forced nonlinear oscillator describing the dynamics of a single spherical gas bubble placed in a liquid domain. The results have shown that with an increasing dissipation rate (liquid viscosity), shrimp-shaped domains are evolved within the complex structure of each subharmonic resonances in the amplitude-frequency parameter plane of the external forcing. The mechanism is the coalescence and interaction of two pairs of a period-doubling and a saddle-node codimension-two bifurcation curves.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2019.109424