Resonance curves of multidimensional chaotic systems

Glenn Foster, Afred W. Hübler, Karin Dahmen

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We study resonance curves of nonlinear dynamical systems with chaotic forcing functions. We use the calculus of variations to determine the forcing function that induces the largest response. We compute the resonant forcing for a set of model systems and determine the response of the dynamical system to each forcing function. We show that the response is largest if the model system matches the dynamical system. We find that the signal to noise ratio is particularly large if one of the Lyapunov exponents is large.

Original languageEnglish (US)
Title of host publicationApplications of Nonlinear Dynamics
Subtitle of host publicationModel and Design of Complex Systems
Pages263-272
Number of pages10
DOIs
StatePublished - Mar 27 2009

Publication series

NameUnderstanding Complex Systems
Volume2009
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

ASJC Scopus subject areas

  • Software
  • Computational Mechanics
  • Artificial Intelligence

Fingerprint Dive into the research topics of 'Resonance curves of multidimensional chaotic systems'. Together they form a unique fingerprint.

  • Cite this

    Foster, G., Hübler, A. W., & Dahmen, K. (2009). Resonance curves of multidimensional chaotic systems. In Applications of Nonlinear Dynamics: Model and Design of Complex Systems (pp. 263-272). (Understanding Complex Systems; Vol. 2009). https://doi.org/10.1007/978-3-540-85632-0_21