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Recurrent canards producing relaxation oscillations

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Publication:5858756
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DOI10.1063/5.0040726zbMath1458.34079OpenAlexW3129521249MaRDI QIDQ5858756

Ferdinand Verhulst, C. Abdulwahed

Publication date: 14 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0040726



Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Relaxation oscillations for ordinary differential equations (34C26)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Chasse au canard
  • On the formation of hidden chaotic attractors and nested invariant tori in the Sprott A system
  • On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé-Hoover oscillator
  • Elementary quadratic chaotic flows with no equilibria
  • Van der Pol and the history of relaxation oscillations: Toward the emergence of a concept
  • Geometric Singular Perturbation Theory Beyond the Standard Form
  • Averaging methods in nonlinear dynamical systems
  • Elements of applied bifurcation theory
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