Journal
REGULAR & CHAOTIC DYNAMICS
Volume 19, Issue 4, Pages 435-460Publisher
PLEIADES PUBLISHING INC
DOI: 10.1134/S1560354714040017
Keywords
Homoclinic chaos; global bifurcations; spiral chaos; strange attractor; saddle-focus; homoclinic loop; saddle-node; saddle-saddle; Lorenz attractor; hyperbolic set
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This is the first part of a review of the scientific works of L.P. Shilnikov. We group his papers according to 7 major research topics: bifurcations of homoclinic loops; the loop of a saddle-focus and spiral chaos; Poincare homoclinics to periodic orbits and invariant tori, homoclinic in noautonous and infinite-dimensional systems; Homoclinic tangency; Saddlenode bifurcation - quasiperiodicity-to-chaos transition, blue-sky catastrophe; Lorenz attractor; Hamiltonian dynamics. The first two topics are covered in this part. The review will be continued in the further issues of the journal.
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