Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points

L Gardini - Nonlinear Analysis: Theory, Methods & Applications, 1994 - dl.acm.org
… The existence of homoclinic orbits to a hyperbolic saddle or a saddle-node are proved by
the rigorous mathematical analysis and geometric singular perturbation theory, and the
corresponding ... … To study the dynamics of quasi-periodic bifurcations, we consider a
system of two nonlinearly coupled oscillators using averaging, continuation and numerical
bifurcation techniques. This relatively simple system displays considerable complexity. ... …
2.expanding periodic points
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