The limit-cycle orbit itinerates over target patterns as an attractor; in contrast, the orbits in the fixed-point attractor are transient.
When b 1 is sufficiently negative (i.e., sufficiently past the torus canard explosion), the trajectory does not follow the branch of repelling periodic orbits and instead transitions directly from the saddle-node of periodic orbits to the branch of attracting fixed points, resulting in a large amplitude sub-Hopf/fold cycle bursting orbit such as the one shown in Figure 4 at b 1 = − 0.162.
As a result, this whole election cycle has orbited almost entirely around his magnetic but grating persona.
Moreover, system (2) displays very interesting dynamical behaviors, including period-6, -7, -9, -15, -16, -22, -23, -32, -35 orbits, a cascade of period-doubling bifurcations in period-2, -4, -8, -16 orbits, an invariant cycle, quasi-periodic orbits, and chaotic sets.
It is shown that the phenomenon such as hyperchaos, limit cycles, homoclinic orbits of the designed circuits are closely similar to the results of numerical experiments.
An attractor for non-linear dynamic systems which has periodic cycles or orbits in phase space.
However, for this heteroclinic cycle only one orbit connects p to q, whereas infinitely many orbits which are backward asymptotic to p move away from the heteroclinic cycle.
Moreover, the numerical simulations not only illustrate our results, but they also exhibit the complex dynamical behaviors, such as the invariant cycle, period-7 orbits and period-12 orbits with more than one attractors and chaotic sets.
This needs to select an orbit cycle of one day locked on the theatre.
The earth is currently in the part of its long-term orbit cycle where temperatures would normally be cooling.
