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Inverse limits associated with the forced van der Pol equation

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Publication:1340463
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DOI10.1007/BF02218849zbMath0813.58035WikidataQ115392697 ScholiaQ115392697MaRDI QIDQ1340463

Robert P. Roe, Sarah E. Holte

Publication date: 19 December 1994

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)


zbMATH Keywords

attractorsvan der Pol equationinverse limitsannulus map


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Low-dimensional dynamical systems (37E99)


Related Items

Full attracting sets of annulus maps which are inverse limits of circles, Non-monotone periodic orbits of a rotational horseshoe, Inverse limits of Markov interval maps



Cites Work

  • Unnamed Item
  • Generalized horseshoe maps and inverse limits
  • Circle maps and inverse limits
  • Horseshoe maps and inverse limits
  • Full attracting sets of annulus maps which are inverse limits of circles
  • Inverse limit spaces
  • Stable and Random Motions in Dynamical Systems
  • Qualitative analysis of the periodically forced relaxation oscillations
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