Chaos explosion and topological horseshoe in three-dimensional impacting hybrid systems with a single impact surface

2022 ◽  
Vol 44 ◽  
pp. 101122
Author(s):  
Lei Wang ◽  
Xiao-Song Yang
Keyword(s):  
Hybrid Systems ◽  
Three Dimensional ◽  
Topological Horseshoe ◽  
Single Impact ◽  
Impact Surface

Chaos in three-dimensional hybrid systems and design of chaos generators

2012 ◽  
Vol 69 (4) ◽  
pp. 1915-1927 ◽  
Author(s):  
Songmei Huan ◽  
Qingdu Li ◽  
Xiao-Song Yang
Keyword(s):  
Hybrid Systems ◽  
Three Dimensional

scholarly journals Dimensional effects on the density of states in systems with quasi-relativistic dispersion relations and potential wells

2016 ◽  
Vol 94 (8) ◽  
pp. 773-779 ◽  
Author(s):  
A. Pokraka ◽  
R. Dick
Keyword(s):  
Hybrid Systems ◽  
Density Of States ◽  
Three Dimensional ◽  
Dispersion Relations ◽  
Potential Wells ◽  
Dimensional Effects ◽  
Densities Of States ◽  
Relativistic Dispersion ◽  
Low Dimensional

Motivated by the recent discoveries of materials with quasi-relativistic dispersion relations, we determine densities of states in materials with low dimensional substructures and relativistic dispersion relations. We find that these dimensionally hybrid systems yield quasi-relativistic densities of states that are a superposition of the corresponding two- and three-dimensional densities of states.

scholarly journals Approximate Completed Trace Equivalence of Three Dimensional t-Model Nonlinear Algebraic Hybrid Systems

2013 ◽  
Vol 7 (5) ◽  
pp. 1693-1697 ◽  
Author(s):  
Hao Yang ◽  
Jinzhao Wu ◽  
Zhiwei Zhang ◽  
Yang Liu
Keyword(s):  
Hybrid Systems ◽  
Three Dimensional ◽  
Trace Equivalence

scholarly journals Spatially-Controllable Hot Spots for Plasmon-Enhanced Second-Harmonic Generation in AgNP-ZnO Nanocavity Arrays

Nanomaterials ◽  
2018 ◽  
Vol 8 (12) ◽  
pp. 1012
Author(s):  
Shaoxin Shen ◽  
Min Gao ◽  
Rongcheng Ban ◽  
Huiyu Chen ◽  
Xiangjie Wang ◽  
...  
Keyword(s):  
Second Harmonic Generation ◽  
Hybrid Systems ◽  
Harmonic Generation ◽  
Hot Spots ◽  
Second Harmonic ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Excitation Energies ◽  
High Loss ◽  
Relative Contribution

Plasmon-enhanced second-harmonic generation (PESHG) based on hybrid metal-dielectric nanostructures have extraordinary importance for developing efficient nanoscale nonlinear sources, which pave the way for new applications in photonic circuitry, quantum optics, and biosensors. However, the relatively high loss of excitation energies and the low spatial overlapping between the locally enhanced electromagnetic field and nonlinear materials still limit the promotion of nonlinear conversion performances in such hybrid systems. Here, we design and fabricate an array of silver nanoparticle-ZnO (AgNP-ZnO) nanocavities to serve as an efficient PESHG platform. The geometry of AgNP-ZnO nanocavity arrays provides a way to flexibly modulate hot spots in three-dimensional space, and to achieve a good mutual overlap of hot spots and ZnO material layers for realizing efficient SH photon generation originating from ZnO nanocavities. Compared to bare ZnO nanocavity arrays, the resulting hybrid AgNP-ZnO design of nanocavities reaches the maximum PESHG enhancement by a factor of approximately 31. Validated by simulations, we can further interpret the relative contribution of fundamental and harmonic modes to Ag-NP dependent PESHG performances, and reveal that the enhancement stems from the co-cooperation effect of plasmon-resonant enhancements both for fundamental and harmonic frequencies. Our findings offer a previously unreported method for designing efficient PESHG systems and pave a way for further understanding of a surface plasmon-coupled second-order emission mechanism for the enhancement of hybrid systems.

scholarly journals Bioprintability: Physiomechanical and Biological Requirements of Materials for 3D Bioprinting Processes

Polymers ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2262 ◽  
Author(s):  
Andrea S. Theus ◽  
Liqun Ning ◽  
Boeun Hwang ◽  
Carmen Gil ◽  
Shuai Chen ◽  
...  
Keyword(s):  
Additive Manufacturing ◽  
Hybrid Systems ◽  
Manufacturing Process ◽  
Three Dimensional ◽  
Living Cells ◽  
Clinical Applications ◽  
Fine Tuning ◽  
Biological Processes ◽  
3D Bioprinting ◽  
Qualitative Methodologies

Three-dimensional (3D) bioprinting is an additive manufacturing process that utilizes various biomaterials that either contain or interact with living cells and biological systems with the goal of fabricating functional tissue or organ mimics, which will be referred to as bioinks. These bioinks are typically hydrogel-based hybrid systems with many specific features and requirements. The characterizing and fine tuning of bioink properties before, during, and after printing are therefore essential in developing reproducible and stable bioprinted constructs. To date, myriad computational methods, mechanical testing, and rheological evaluations have been used to predict, measure, and optimize bioinks properties and their printability, but none are properly standardized. There is a lack of robust universal guidelines in the field for the evaluation and quantification of bioprintability. In this review, we introduced the concept of bioprintability and discussed the significant roles of various physiomechanical and biological processes in bioprinting fidelity. Furthermore, different quantitative and qualitative methodologies used to assess bioprintability will be reviewed, with a focus on the processes related to pre, during, and post printing. Establishing fully characterized, functional bioink solutions would be a big step towards the effective clinical applications of bioprinted products.

The Coexistence of Invariant Tori and Topological Horseshoe in a Generalized Nosé–Hoover Oscillator

2017 ◽  
Vol 27 (07) ◽  
pp. 1750111 ◽  
Author(s):  
Lei Wang ◽  
Xiao-Song Yang
Keyword(s):  
Cross Section ◽  
Fractal Structure ◽  
Polynomial System ◽  
Invariant Tori ◽  
Three Dimensional ◽  
Topological Horseshoe ◽  
Periodic Trajectories ◽  
Dynamical Complexity ◽  
Chaotic Region ◽  
Stable Periodic

This paper is devoted to the study of dynamical complexity of a generalized Nosé–Hoover oscillator which is a three-dimensional quadratic polynomial system. Precisely, a lot of moderately conservative regions are found, each of which is filled with different sequences of nested tori with various knot types and is embedded in the “chaotic region”. This shows that the generalized Nosé–Hoover oscillator may possess so-called “fat fractal” structure in phase space. In addition, horseshoe chaos can be demonstrated by applying the topological horseshoe theory to a Poincaré map defined in a proper cross-section, which further shows the coexistence of infinitely stable periodic trajectories and infinite saddle periodic trajectories.

Topological horseshoe analysis for a three-dimensional anti-control system and its application

Optik ◽  
2016 ◽  
Vol 127 (20) ◽  
pp. 9444-9456 ◽  
Author(s):  
Jianbin He ◽  
Simin Yu ◽  
Jianping Cai
Keyword(s):  
Control System ◽  
Three Dimensional ◽  
Topological Horseshoe

Periodic Motions and Bifurcations of a Plastic Impact Machine

2007 ◽  
Vol 340-341 ◽  
pp. 307-312
Author(s):  
Guan Wei Luo ◽  
Yan Long Zhang ◽  
Hui Ming Yao
Keyword(s):  
Mathematical Model ◽  
Three Dimensional ◽  
Periodic Motions ◽  
Impact Machine ◽  
Single Impact ◽  
Synchronous Motion ◽  
Pile Driver ◽  
Characteristic Behavior ◽  
Different Types ◽  
Grazing Contact

A mathematical model is developed to describe the characteristic behavior of a small vibro-impact pile driver. Dynamics of the small vibro-impact pile driver is represented by a three-dimensional map. The map is of piecewise property due to synchronous and non-synchronous motion of the driver and pile immediately after the plastic impact, and singularities caused by grazing contact of the driver and pile. The pile driver exhibits two different types of single-impact periodic motions in different regions of the forcing frequency due to the plastic impacts. Transition of two types of single-impact periodic motions is demonstrated, and the influence of the piecewise property, singularities and various parameters on the performance of the pile driver is analyzed.

CHAOS IN SIMPLE CELLULAR NEURAL NETWORKS WITH CONNECTION MATRICES SATISFYING DALE'S RULE

2007 ◽  
Vol 17 (02) ◽  
pp. 583-587 ◽  
Author(s):  
XIAO-SONG YANG ◽  
QINGDU LI
Keyword(s):  
Neural Networks ◽  
Three Dimensional ◽  
Cellular Neural Networks ◽  
Computer Assisted ◽  
Topological Horseshoe ◽  
Connection Matrices

In this paper, it is shown that chaos can take place in simple three-dimensional cellular neural networks with connection matrices satisfying Dale's rule. In addition, a rigorous computer-assisted verification of chaoticity in these cellular neural networks is given by virtue of topological horseshoe theory.

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