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Bifurcations of heteroclinic loops with nonresonant eigenvalues

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Publication:5205292
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DOI10.22436/jmcs.017.01.11zbMath1427.34048OpenAlexW2583923888MaRDI QIDQ5205292

Zheng Guo, Yuerang Gao, Dandan Xie, Yin Lai Jin

Publication date: 11 December 2019

Published in: Journal of Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jmcs.017.01.11


zbMATH Keywords

periodic orbitPoincaré mapheteroclinic loopbifurcation surface


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)




Cites Work

  • Bifurcations of rough heteroclinic loop with two saddle points
  • Global bifurcations and chaos. Analytical methods
  • Bifurcations of heteroclinic loops
  • Introduction to Applied Nonlinear Dynamical Systems and Chaos
  • Bifurcation Theory and Methods of Dynamical Systems
  • Exponential trichotomy and heteroclinic bifurcations
  • Unnamed Item
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