Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898607 | Physica D: Nonlinear Phenomena | 2012 | 9 Pages |
Abstract
⺠Unusual bifurcation phenomena in forced period-doubling oscillators. ⺠Formation of multi-layered resonance tori through transverse period doubling. ⺠Transitions from multi-layered resonance torus to period-doubled ergodic torus. ⺠Formation of pairs of period-doubled ergodic tori through torus-fold bifurcation. ⺠Global bifurcation between unstable period-2 torus and stable two-band torus.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jakob L. Laugesen, Erik Mosekilde, Zhanybai T. Zhusubaliyev,