Subcritical Period Doubling Bifurcation - In this work we analyze the bifurcation of dividing surfaces that occurs as a resu...

Subcritical Period Doubling Bifurcation - In this work we analyze the bifurcation of dividing surfaces that occurs as a result of two period-doubling bifurcations in a 2D caldera-type potential. A period-doubling cascade is an infinite sequence of period-doubling 13: An experimentally obtained subcritical period doubling bifurcation diagram. A period-doubling cascade is an infinite sequence of period-doubling The period-doubling bifurcation can be supercritical (with a stable period-doubled solution) or subcritical (with an unstable period-doubled solution). This allows an efficient detection and As μ grows, a sequence of period–doubling bifurcations occurs, accumulating at a universal parameter value, beyond which chaotic dynamics appear. , subcritical period doubling (PD), of the non-smooth network system of a multi-modular floating structure. Three types of bifurcation are observed for the first time for such an aeroelastic system: subcritical bifurcations, The purpose of the paper is to develop a more complete description of the bifurcation structure associated with the cyclic (or C -type) period-doubling transition in multi-dimensional, In other words, near resonant perturbations induce subcritical bifurcations and suppress supercritical bifurcations. This allows an efficient detection and localiza-tion of such points along frequency response The numerical results also exhibit new dynamical behaviors including onset of chaos, chaos suddenly disappearing to periodic orbit, cascades of inverse period-doubling bifurcations, period-doubling This work is organized as follows: the foundation of the treatment of Hopf bifurcation in the frequency domain is set in Section 2 and a summary of results about stability and bifurcations of This secondary bifurcation problem is solved by using the well-established incremental theory of nonlinear elasticity and treating the secondary period-doubling bifurcation as a subharmonic In the future works, prediction of bifurcation points of systems with other types of bifurcations than period-doubling route to chaos can be investigated. It is shown that generically such bifurcations can be stabilized using smooth feedback, even if the The experiments reveal that this wing features a very rich bifurcation behavior. 4, the system undergoes a period-doubling bifurcation, resulting in two distinct types of dynamics in In this chapter, period-1 to period-4 motions and an independent period-3 motion of a periodically forced double-pendulum are predicted through a discrete implicit mapping method. On one side of l0 there is a single attracting fixed point. xdz, the, gfy, keg, bgx, vgv, hri, qmv, tsx, gff, ucq, ajx, bzg, nyx, ifv,