EXPERIMENTAL CHARACTERIZATION OF QUASIPERIODICITY AND CHAOS IN A MECHANICAL SYSTEM WITH DELAY

DOI10.1142/S0218127499000031zbMath0965.70002OpenAlexW2012899764MaRDI QIDQ4941628

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Publication date: 23 July 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000031

zbMATH Keywords

delay differential equationscubic nonlinearitychaotic vibrationselectro-mechanical system with finite delayexperimental Poincaré sectionssingle second-order differential equation with delaytori bifurcation sequence

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Technical applications of optics and electromagnetic theory (78A55)

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Cites Work

• TRANSITION TO CHAOS FROM A TWO-TORUS IN A DELAYED FEEDBACK SYSTEM
• Bifurcations in a system described by a nonlinear differential equation with delay