A nonlinear dynamical systems analysis of child emotion displays in relation to family context and child adjustment: a cox hazard approach

This report examines how the relative attractor strengths of children's display of three emotion states, anger, sadness/fear, and neutral-engaged, are associated with exposure to maternal negative affect and care giving disruptions, and to child antisocial behavior and depression. Exposure to negative maternal affect was associated with a weaker attractor state for sadness or fear displays relative to those for anger and neutral-engaged displays. Exposure to care giving disruptions was associated with stronger attractor strength for anger and sadness/fear relative to that for neutral-engaged. Overt and covert antisocial behaviors were associated with weaker attractor states for sadness/fear displays relative that for the neutral-engaged displays. Overt antisocial behavior was associated with a stronger attractor state for anger displays relative to that for neutral-engaged displays, and covert antisocial behavior with a weaker attractor state for fear/sadness displays relative to that for neutral-engaged displays. Child depressive symptoms were marginally associated with a stronger attractor state for fear/sadness displays relative to neutral-engaged. The data suggest the attractor strengths for emotion display states are affected by social experience and that between-individual risk for various forms of psychopathology is related to the relative intra-individual attractor strength of various emotion displays in a multi-state emotion display system.     

Global dynamics of Chua Corsage Memristor circuit family: fixed-point loci,Hopf bifurcation,and coexisting dynamic attractors

Nonlinear Dynamics - This paper presents an in-depth and rigorous mathematical analysis of a family of nonlinear dynamical circuits whose only nonlinear component is a Chua Corsage Memristor (CCM)...     

Two-phase flow patterns and void fractions in downward flow Part I: Steady-state flow patterns

Observations of void fractions and flow patterns have been made during steady-state, co-current, downward flow of liquid refrigerant 113 and its vapor. The new data on flow pattern transitions, plus the available downward flow data in the literature, have been compared with available predictions. It was found that the flow pattern map previously developed for horizontal and upward flow can be extended to downward flow with only minor modifications. Part II of this paper will report on the void fraction measurements and the observations of flow pattern transitions during flow transients.     

Single Fiber Transport in a Fracture Slit: Influence of the Wall Roughness and of the Fiber Flexibility

The transport of fibers by a fluid flow is investigated in transparent channels modeling rock fractures: the experiments use flexible polyester thread (mean diameter 280 μm) and water or a water–polymer solution. For a channel with smooth parallel walls and a mean aperture ā = 0.65 mm, both fiber segments of length ℓ = 20–150 mm and “continuous” fibers longer than the channel length have been used: in both the cases, the velocity of the fibers and its variation with distance could be accounted for while neglecting friction with the walls. For rough self-affine walls and a continuous gradient of the local mean aperture transverse to the flow, transport of the fibers by a water flow is only possible in the region of larger aperture (ā ≲ 1.1 mm) and is of “stop and go” type at low velocities. With the polymer solution, the fibers move faster and more continuously in high aperture regions and their interaction with the walls is reduced; fiber transport becomes also possible in narrower regions where irreversible pinning occurred for water. In a third rough model with parallel walls and a low mean aperture ā = 0.65 mm, fiber transport is only possible with the water–polymer solution. The dynamics of fiber deformations and entanglement during pinning–depinning events and permanent pinning is analyzed.     

Highly scalable computational algorithms on emerging parallel machine multicore architectures: development and implementation in CFD context

In this paper, the first in a series, the authors have developed and implemented new computational algorithms for improving the scalability of CFD simulations on emerging architectures such as multicore high performance computing (HPC) platforms. These algorithmic developments and implementations are classified into three categories: (i) improved partition for multicore platforms, (ii) improved and optimized communication for HPC and (iii) enhancing scalability using computer science based methods. In the first category, the multilevel partitioning strategy was modified to reduce the number of out‐of‐core communications. This resulted in noticeable speedup even for small cases. In the second category, the authors came up with a next generation communication procedure optimized for the architecture and the partitioning. This next generation communication resulted in noticeable speedups. In the third category, improvements with respect to better management of memory were implemented. This again resulted in a speedup of nearly 10%. The overall scalability, as a result of the three algorithmic implementations, yielded ideal and at times superlinear scalability until 3000 processors. In general, the scalability results are very promising and indicate that the approach has a great potential for more complicated multidisciplinary problems such as fluid–structure interaction and aeroelastic simulations. Copyright © 2013 John Wiley & Sons, Ltd.     

固体表面开裂的周期图案：I. 现象与原理

温度与湿度非均匀变化引起固体表面大面积周期分布的裂纹. 从火星表面陨石坑的嵌套多边形缝隙到地球田地湖泊的干旱龟裂, 从火山熔浆之河凝固成的多边形玄武岩到冰川消蚀形成的晶莹剔透的周期冰雕, 都遵循一个简明的自然法则：最小能量原理. 介绍几个典型的自然现象, 并通过一个小实验浅析它们形成时所遵循的简明自然法则.     

Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities： experiments and analysis

Recent advances in the experimental and theoretical study of dynamics of neuronal electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal irregular firing patterns, especially chaotic and stochastic firing patterns, are presented, and practical nonlinear time analysis methods are introduced to distinguish deterministic and stochastic mechanism in time series. Secondly, the dynamics of electrical firing activities in a single neuron is concerned, namely, fast-slow dynamics analysis for classification and mechanism of various bursting patterns, one- or two-parameter bifurcation analysis for transitions of firing patterns, and stochastic dynamics of firing activities （stochastic and coherence resonances, integer multiple and other firing patterns induced by noise, etc.）. Thirdly, different types of synchronization of coupled neurons with electrical and chemical synapses are discussed. As noise and time delay are inevitable in nervous systems, it is found that noise and time delay may induce or enhance synchronization and change firing patterns of coupled neurons. Noise-induced resonance and spatiotemporal patterns in coupled neuronal networks are also demonstrated. Finally, some prospects are presented for future research. In consequence, the idea and methods of nonlinear dynamics are of great significance in exploration of dynamic processes and physiological functions of nervous systems.     

层流条件下并列三圆柱涡激振动响应与尾流形态

应用基于嵌入式压强-力迭代的高精度浸入边界法研究等间距并列三圆柱涡激振动。其中,雷诺数Re=100,间距比T/D=2.0～5.0,圆柱质量比m*=2.0,折合流速Ur=2.0～10.0,忽略振动系统的阻尼且三圆柱仅横向振动。研究发现,圆柱的振动响应随折合流速的增加呈现初始响应分支和下端响应分支两种模式;振幅响应出现不连续现象,且随着间距比的增加,该不连续现象对应的折合流速增加;尾流模式与间距比和折合流速密切相关。共发现六种尾流形态,分别为窄宽窄尾流、不规律尾流、反相同步尾流、调制尾流、同相同步尾流和偏斜尾流。总结并绘制了尾流形态在参数空间[Ur,T/D]内的分区图。     

Macro-to-microchannel transition in two-phase flow: Part 1 - Two-phase flow patterns and film thickness measurements

The classification of macroscale, mesoscale and microscale channels with respect to two-phase processes is still an open question. The main objective of this study focuses on investigating the macro-to-microscale transition during flow boiling in small scale channels of three different sizes with three different refrigerants over a range of saturation conditions to investigate the effects of channel confinement on two-phase flow patterns and liquid film stratification in a single circular horizontal channel (Part 2 covers the flow boiling heat transfer and critical heat flux). This paper presents the experimental two-phase flow pattern transition data together with a top/bottom liquid film thickness comparison for refrigerants R134a, R236fa and R245fa during flow boiling in small channels of 1.03, 2.20 and 3.04 mm diameter. Based on this work, an improved flow pattern map has been proposed by determining the flow patterns transitions existing under different conditions including the transition to macroscale slug/plug flow at a confinement number of Co ≈ 0.3-0.4. From the top/bottom liquid film thickness comparison results, it was observed that the gravity forces are fully suppressed and overcome by the surface tension and shear forces when the confinement number approaches 1, Co ≈ 1. Thus, as a new approximate rule, the lower threshold of macroscale flow is Co = 0.3-0.4 while the upper threshold of symmetric microscale flow is Co ≈ 1 with a transition (or mesoscale) region in-between.     

Flow patterns in polyethylene and polystyrene melts during extrusion through a die entry region: measurement and interpretation

Flow visualization experiments have been carried out on these melts flowing from a reservoir into a capillary die. The existence and magnitude of vortices at the die entrance have been determined over a range of extrusion conditions. The vortex size is interpreted in terms of the theory of viscoelastic fluid mechanics. It is found that the second-order fluid-perturbation solution cannot represent the observed experimental results. The data are correlated with (i) a Weissenberg number τ_ch$\text{V}\text{L}$ ≡ $\text{}\text{?}$gt($\text{γ}\text{?}$_w)$\text{γ}\text{?}$_w ≡ Ψ₁$\text{γ}\text{?}$_w/2η  (N₁)_w/ 2(σ₁₂)_w measured at the die wall and (ii) with the deformation-rate dependence of relaxation time. Interpretation of vortex formation and size in terms of elongational viscosity is offered.Several polystyrene and polyethylene melts have been rheologically characterized as part of this study with measurements of viscosity η and principal normal stress difference N₁. The zero shear viscosity η₀ of the polystyrenes varies with the 3.5 power of the weight-average molecular weight M_w while the principal normal stress difference coefficient Ψ₁ varies with the sixth power of M_w when evaluated at a shear rate of 1 sec^?1.     

Two-phase flow patterns and size distribution of droplets in a microfluidic T-junction: Experimental observations in the squeezing regime

Generating micrometer sized droplets has been studied in a microfluidic system with T-junction geometry 250 μm in internal diameter and with PTFE capillary tubing. Several experiments were conducted by varying the flow rate of the dispersed phase from $2.78\cdot {10}^{-11}{\text{ m}}^3/\text{s}$ to $5.28\cdot {10}^{-9}{\text{ m}}^3/\text{s}$ and that of the continuous phase from $2.78\cdot {10}^{-10}{\text{ m}}^3/\text{s}$ to $1.94\cdot {10}^{-9}{\text{ m}}^3/\text{s}$. The visualization of different flow regimes (drop, plug, and annular) was carried out for three configurations (not inverted in a horizontal position, inverted in a horizontal position, and inverted in a vertical position) for low capillary numbers. The model of Gauss was also chosen for a droplet size distribution in the dispersed phase, with the flow quality x varying from 0.016 to 0.44. The evolution of the drop size distribution as a function of the flow quality in the dispersed phase shows that the variation coefficient of the droplet's diameter is inversely proportional to the flow quality.     

Sexual affordances, perceptual-motor invariance extraction and intentional nonlinear dynamics: sexually deviant and non-deviant patterns in male subjects

Sexual arousal and gaze behavior dynamics are used to characterize deviant sexual interests in male subjects. Pedophile patients and non-deviant subjects are immersed with virtual characters depicting relevant sexual features. Gaze behavior dynamics as indexed from correlation dimensions (D2) appears to be fractal in nature and significantly different from colored noise (surrogate data tests and recurrence plot analyses were performed). This perceptual-motor fractal dynamics parallels sexual arousal and differs from pedophiles to non-deviant subjects when critical sexual information is processed. Results are interpreted in terms of sexual affordance, perceptual invariance extraction and intentional nonlinear dynamics.     

Nonlinear computational models of dynamical coding patterns in depression and normal rats: from electrophysiology to energy consumption

Nonlinear Dynamics - Major depressive disorder (MDD) is one of the most serious neuropsychiatric disorders. Exploring the pathogenesis and dynamical coding patterns of MDD can provide new targets...     

Experimental study on the direct contact condensation of the steam jet in subcooled water flow in a rectangular channel: Flow patterns and flow field

Direct contact condensation (DCC) of steam jet in subcooled water flow in a channel was experimentally studied. The main inlet parameters, including steam mass flux, water mass flux and water temperature were tested in the ranges of 200–600 kg/(m² s), 7–18 × 10³ kg/(m² s), 288–333 K, respectively. Two unstable flow patterns and two stable flow patterns were observed via visualization window by a high speed camera. The flow patterns were determined by steam mass flux, water mass flux and water temperature, and the relationship between flow patterns and flow field parameters was discussed. The results indicated that whether pressure or temperature distributions on the bottom wall of channel could represent different flow patterns. And the position of pressure peak on the bottom wall could almost represent the condensation length. The upper wall pressure distributions were mainly dependent on steam and water mass flux; and the upper wall temperature distributions were affected by the three main inlet parameters. Moreover, the bottom wall pressure and temperature distributions of different unstable flow patterns had similar characteristics while those of stable flow patterns were affected by shock and expansion waves. The underlying cause of transition between different flow patterns under different inlet parameters was reflected and discussed based on pressure distributions.     

The boundary-due terms in the Green operator of inclusion patterns from distant to contact and to connected situations using radon transforms: Illustration for spheroid alignments in isotropic media

We examine the boundary-due components in the mean modified Green operator integral (Green operator for short) of an inclusion pattern in distant-contact and contact-connection transitions. The Direct (RT) and inverse (IRT) Radon Transforms, which allow specification of the different contributions to the mean Green operator of the pattern in simple geometrical terms, are used. The already well-documented case of axially symmetric alignments of equidistant identical oblate spheroids, in an infinite matrix of isotropic (elastic-like or dielectric-like) properties is treated up to infinite alignments and for any aspect ratio from unity (spheres) to infinitesimal (platelets). Simple closed forms for this mean Green operator and for its different parts are newly obtained. These closed forms allow an easy parametric study of the operator variations in terms of the alignment characteristics from distant to contact situations. From contact to connection of the inclusions, the changes in the Green operator’s contributions are pointed, what provides relevant operator forms for the connected patterns. These results are of interest in problems where phase percolation, connectivity inversions or co-continuity are implied.