Modeling chaotic motions of a string from experimental data

DOI10.1016/0167-2789(95)00287-1zbMath0899.73008OpenAlexW2048026716MaRDI QIDQ1912489

Kevin Judd, Alistair I. Mees

Publication date: 7 May 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00287-1

zbMATH Keywords

period-doubling bifurcationnonlinear modelingShil'nikov mechanismperiod doubling cascadeperiod three window

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Experimental work for problems pertaining to mechanics of deformable solids (74-05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Towards long-term prediction, Embedding as a modeling problem, Comparisons of new nonlinear modeling techniques with applications to infant respiration., Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system, A COMPARATIVE STUDY OF INFORMATION CRITERIA FOR MODEL SELECTION, OBSERVATION OF A PERIOD DOUBLING BIFURCATION DURING ONSET OF HUMAN VENTRICULAR FIBRILLATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal shadowing and noise reduction
• Local and global behavior near homoclinic orbits
• Estimating the dimension of a model
• Embedology
• Local Lyapunov exponents computed from observed data
• On selecting models for nonlinear time series
• On the amplitude dynamics and crisis in resonant motion of stretched strings
• GRID IMAGING FOR A TWO-DIMENSIONAL MAP
• PARSIMONIOUS DYNAMICAL RECONSTRUCTION
• ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE
• A new look at the statistical model identification