On dynamic properties of diffeomorphisms with homoclinic tangency

DOI10.1007/s10958-005-0107-1zbMath1076.37052OpenAlexW1969329029MaRDI QIDQ2487423

L. P. Shil'nikov, Sergey V. Gonchenko, Dmitry V. Turaev

Publication date: 5 August 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0107-1

zbMATH Keywords

bifurcationhomoclinic tangencysaddle fixed-point

Mathematics Subject Classification ID

Related Items (6)

Snap-back repellers in non-smooth functions ⋮ Unfolding homoclinic connections formed by corner intersections in piecewise-smooth maps ⋮ On the effect of invisibility of stable periodic orbits at homoclinic bifurcations ⋮ Expanding Baker maps as models for the dynamics emerging from 3D homoclinic bifurcations ⋮ On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors ⋮ Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps

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• NORMAL FORMS AND LORENZ ATTRACTORS
• An example of a wild strange attractor
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• Persistence of homoclinic tangencies in higher dimensions

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