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Basins of attraction in experimental nonlinear oscillators

Publication ,  Journal Article
Virgin, LN; Todd, MD; Begley, CJ; Trickey, ST; Dowell, EH
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
January 1, 1998

This paper addresses two relatively simple but fundamental questions in nonlinear oscillations: Given an arbitrary initial condition where will the trajectory go, and how long will it take to get there? These related questions are addressed from an experimental perspective where generating global transient behavior has received relatively little attention, despite the fact that a global view of transient behavior provides a much more complete description of the dynamics of a system than a traditional concentration on steady-state behavior. Three different physical systems are studied, each of which exhibits a specific behavior heavily influenced by transient global effects.

Duke Scholars

Published In

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

DOI

ISSN

0218-1274

Publication Date

January 1, 1998

Volume

8

Issue

3

Start / End Page

521 / 533

Related Subject Headings

  • Fluids & Plasmas
  • 0913 Mechanical Engineering
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Virgin, L. N., Todd, M. D., Begley, C. J., Trickey, S. T., & Dowell, E. H. (1998). Basins of attraction in experimental nonlinear oscillators. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 8(3), 521–533. https://doi.org/10.1142/S0218127498000334
Virgin, L. N., M. D. Todd, C. J. Begley, S. T. Trickey, and E. H. Dowell. “Basins of attraction in experimental nonlinear oscillators.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8, no. 3 (January 1, 1998): 521–33. https://doi.org/10.1142/S0218127498000334.
Virgin LN, Todd MD, Begley CJ, Trickey ST, Dowell EH. Basins of attraction in experimental nonlinear oscillators. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 1998 Jan 1;8(3):521–33.
Virgin, L. N., et al. “Basins of attraction in experimental nonlinear oscillators.” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 8, no. 3, Jan. 1998, pp. 521–33. Scopus, doi:10.1142/S0218127498000334.
Virgin LN, Todd MD, Begley CJ, Trickey ST, Dowell EH. Basins of attraction in experimental nonlinear oscillators. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 1998 Jan 1;8(3):521–533.
Journal cover image

Published In

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

DOI

ISSN

0218-1274

Publication Date

January 1, 1998

Volume

8

Issue

3

Start / End Page

521 / 533

Related Subject Headings

  • Fluids & Plasmas
  • 0913 Mechanical Engineering
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics