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Unstable periodic orbit detection for ODEs with periodic forcing

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Publication:942586
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DOI10.1016/j.physleta.2006.06.088zbMath1236.34060OpenAlexW2066596342MaRDI QIDQ942586

B. E. Eshmatov

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.06.088

zbMATH Keywords

chaosnumericsunstable orbit detection


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Complex behavior and chaotic systems of ordinary differential equations (34C28)


Related Items

A database of rigorous and high-precision periodic orbits of the Lorenz model, High-precision continuation of periodic orbits, Systematic computer assisted proofs of periodic orbits of Hamiltonian systems, Connections among several chaos feedback control approaches and chaotic vibration control of mechanical systems



Cites Work

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  • Chaotic behaviour of solutions to a perturbed Korteweg-de Vries equation
  • Invariant sets for the varactor equation
  • Ratio-Like and Recurrence Relation Tests for Convergence of Series
  • Towards complete detection of unstable periodic orbits in chaotic systems
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