The complex chaotic dynamics and multistability of financial system are some important problems in micro- and macroeconomic fields. In this paper, we study the influence of two-delay feedback on the nonlinear dynamics behavior of financial system, considering the linear stability of equilibrium point under the condition of single delay and two delays. The system undergoes Hopf bifurcation near the equilibrium point. The stability and bifurcation directions of Hopf bifurcation are studied by using the normal form method and central manifold theory. (...) The theoretical results are verified by numerical simulation. Furthermore, one feature of the proposed financial chaotic system is that its multistability depends extremely on the memristor initial condition and the system parameters. It is shown that the nonlinear dynamics of financial chaotic system can be significantly changed by changing the values of time delays. (shrink)

It is shown that $\operatorname{Con}(ZF)$ implies $\operatorname{Con}(ZFC$ + there exists a Dowker filter on ω2). The problem is also considered on higher cardinals.

Graphical AbstractGene editing with engineered nucleases introduce double-strand breaks that are repaired by error-prone nonhomologous end-joining (NHEJ). In article number 1900126, Sara G. Trimidal et al. propose that the length and type or resulting indels can now be controlled by editing with different engineered nucleases or by manipulating the expression of NHEJ genes.

Genome editing with engineered nucleases (GEENs) introduce site‐specific DNA double‐strand breaks (DSBs) and repairs DSBs via nonhomologous end‐joining (NHEJ) pathways that eventually create indels (insertions/deletions) in a genome. Whether the features of indels resulting from gene editing could be customized is asked. A review of the literature reveals how gene editing technologies via NHEJ pathways impact gene editing. The survey consolidates a body of literature that suggests that the type (insertion, deletion, and complex) and the approximate length of indel edits (...) can be somewhat customized with different GEENs and by manipulating the expression of key NHEJ genes. Structural data suggest that binding of GEENs to DNA may interfere with binding of key components of DNA repair complexes, favoring either classical‐ or alternative‐NHEJ. The hypotheses have some limitations, but if validated, will enable scientists to better control indel makeup, holding promise for basic science and clinical applications of gene editing. Also see the video abstract here https://youtu.be/vTkJtUsLi3w. (shrink)