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Finally, multiple attractors and their basins of attraction and the interior structure of horseshoe-like attractors have been investigated.
We then investigate multiple attractors and their basins of attraction, as well as the interior structure of a horseshoe-like attractor.
In this regime, the nonlinear system may nevertheless still possess multiple attractors, and their domains of attraction are investigated, again using an averaged form of the aeroelastic equations.
Expressed more technically, rural social dynamics, of which poverty traps are a result, are complex processes that may render multiple attractors and trajectories.
We demonstrate that for a catalytic network to accumulate adaptations it needs to be compartmentalized, the platonic reaction network must have multiple attractors, and some of these attractors must be selectable.
This is obviously a narrow view of what a unit of evolution really is [ 17], but raises the important issue that reaction networks must somehow posses multiple attractors and transitions among attractors must be possible.
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The system is shown to exhibit multiple periodic attractors and multiple chaotic attractors including a four-scroll chaotic attractor.
In systems with multiple attractors, environmental variability and perturbations may propel a system beyond a dynamic threshold from where it will trend towards a new stable state (Fig. 1b).
Stability analysis revealed that backward bifurcations and multiple attractors may exist, which indicate that initial quantities of infected and uninfected mosquitoes, augmentation methods (timing, quantity, order and frequency) may affect the success of the strategies.
Based on the previous investigations, for the existence of multiple attractors of both (SC11) and (SC12) we only need to study cases when (tau>tau_{2}^{h_{1}}), and then two subcases should be considered, i.e. (tau_{2}^{h_{1}
Thus, we will focus on those points in this section, aiming to find all the types of multiple attractors for system (2.2) and their regions of attraction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com