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A note on homoclinic or heteroclinic orbits for the generalized Hénon map

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Publication:287855
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DOI10.1007/S10255-016-0580-YzbMath1359.37046OpenAlexW2343627097MaRDI QIDQ287855

Yong-guo Shi

Publication date: 23 May 2016

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-016-0580-y


zbMATH Keywords

heteroclinic orbithomoclinic orbitgeneralized Hénon mapreversible planar map


Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)


Related Items (1)

Bifurcations and chaos in a three-dimensional generalized Hénon map




Cites Work

  • Homoclinic bifurcations and the area-conserving Henon mapping
  • Reversible maps and their symmetry lines
  • Transversal homoclinic points of a class of conservative diffeomorphisms
  • A method for locating symmetric homoclinic orbits using symbolic dynamics
  • The Numerical Computation of Homoclinic Orbits for Maps
  • Homoclinic orbits of invertible maps
  • Homoclinic orbits and localized solutions in nonlinear Schrödinger lattices




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