几类典型的超分子液晶研究进展

超分子液晶结合了超分子化学和液晶两者的特点,是近年来研究的一个热点.在简述超分子化学和超分子液晶概念的基础上,对非共价键结合包括氢键型、离子型和金属络合型的超分子液晶结构和研究现状作了简介,并对超分子液晶常用的表征方法进行了概述.     

Dynamics and bifurcations of a map of homographic Ricker type

Nonlinear Dynamics - Based on the post-inhibitory rebound (PIR) spike induced by inhibitory current pulse, in the present paper, a novel counterintuitive phenomenon that the inhibitory autapse with...     

Bifurcation structures in a 2D exponential diffeomorphism with Allee effect

Nonlinear Dynamics - An embedding of one-dimensional generic growth functions into a two-dimensional diffeomorphism is considered. This family of unimodal maps naturally incorporates a key item of...     

Big bang bifurcations and Allee effect in Blumberg’s dynamics

This paper concerns dynamics and bifurcations properties of a class of continuous-defined one-dimensional maps, in a three-dimensional parameter space: Blumberg’s functions. This family of functions naturally incorporates a major focus of ecological research: the Allee effect. We provide a necessary condition for the occurrence of this phenomenon, associated with the stability of a fixed point. A central point of our investigation is the study of bifurcations structure for this class of functions. We verified that under some sufficient conditions, Blumberg’s functions have a particular bifurcations structure: the big bang bifurcations of the so-called “box-within-a-box” type, but for different kinds of boxes. Moreover, it is verified that these bifurcation cascades converge to different big bang bifurcation curves, where for the corresponding parameter values are associated distinct attractors. This work contributes to clarify the big bang bifurcation analysis for continuous maps. To support our results, we present fold and flip bifurcations curves and surfaces, and numerical simulations of several bifurcation diagrams.