Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Characterizing strange nonchaotic attractors.

Arkady S. Pikovsky1, Ulrike Feudel

  • 1Max-Planck-Arbeitsgruppe "Nichtlineare Dynamik," Universitat Potsdam, Potsdam, Germany.

Chaos (Woodbury, N.Y.)
|March 1, 1995
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

How can dispersal-induced asymmetry and asynchrony support the coexistence of species?

Chaos (Woodbury, N.Y.)·2026
Same author

Introduction to Focus Issue: Nonautonomous dynamical systems: Theory, methods, and applications.

Chaos (Woodbury, N.Y.)·2026
Same author

Generalized paradox of enrichment: noise-driven rare rarity in degraded ecological systems.

Journal of the Royal Society, Interface·2025
Same author

Criticality governs response dynamics and entrainment of periodically forced ghost cycles.

Physical review. E·2025
Same author

Advantages of run-reverse motility pattern of bacteria for tracking light and small food sources in dynamic fluid environments.

Journal of the Royal Society, Interface·2025
Same author

Dynamical properties and mechanisms of metastability: A perspective in neuroscience.

Physical review. E·2025

This study introduces two methods to characterize strange nonchaotic attractors in nonlinear systems. Phase sensitivity analysis reveals these attractors appear when positive Lyapunov exponents have a nonzero probability.

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Mathematical Physics

Background:

  • Strange nonchaotic attractors are characteristic of quasiperiodically driven nonlinear systems.
  • Understanding these attractors is crucial for analyzing complex system behaviors.

Purpose of the Study:

  • To propose novel methods for characterizing strange nonchaotic attractors.
  • To investigate the relationship between phase sensitivity and system dynamics.

Main Methods:

  • Bifurcation analysis of systems with periodic approximations of quasiperiodic forcing.
  • Calculation of a phase sensitivity exponent to measure response to external force phase changes.

Main Results:

  • Phase sensitivity is a key indicator of strangeness in these attractors.

Related Experiment Videos

  • Phase sensitivity emerges when there's a probability of positive local Lyapunov exponents.

    • Conclusions:

    • The proposed methods offer effective characterization of strange nonchaotic attractors.
    • Phase sensitivity is directly linked to the occurrence of positive local Lyapunov exponents, defining attractor strangeness.