Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots

DOI10.1002/zamm.200900290zbMath1355.70030OpenAlexW2065825509MaRDI QIDQ5851698

Bryan W. Horton, Marian Wiercigroch, Grzegorz Litak, Xu Xu

Publication date: 25 January 2010

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200900290

zbMATH Keywords

parametric pendulumrecurrence plotchaotic vibration

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (8)

HOW TO AVOID POTENTIAL PITFALLS IN RECURRENCE PLOT BASED DATA ANALYSIS ⋮ Detecting and identifying non-stationary courses in the ripping head power consumption by recurrence plots ⋮ Chaos in a magnetic pendulum subjected to tilted excitation and parametric damping ⋮ Dynamical Response of a Planetary Gear System with Faults Using Recurrence Statistics ⋮ Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism ⋮ Analysing spatially extended high-dimensional dynamics by recurrence plots ⋮ Global Dynamics of an Elliptically Excited Pendulum Model ⋮ Dynamics of Composite Milling: Application of Recurrence Plots to Huang Experimental Modes

Uses Software

• TISEAN

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Rotating orbits of a parametrically-excited pendulum
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