A new experimental approach to study the stability of logistic map

2009 ◽  
Vol 41 (4) ◽  
pp. 2062-2066 ◽  
Author(s):  
Mamta Rani ◽  
Rashi Agarwal
Keyword(s):  
Experimental Approach ◽  
Logistic Map ◽  
The Stability

scholarly journals Investigation on the Thermodynamic Stability of Nanocrystalline W-Based Alloys: A Combined Theoretical and Experimental Approach

Materials ◽  
2021 ◽  
Vol 14 (23) ◽  
pp. 7179
Author(s):  
Francesco Torre ◽  
Claudio Mingazzini ◽  
Daniele Mirabile Gattia ◽  
Teodor Huminiuc ◽  
Antonio Rinaldi ◽  
...  
Keyword(s):  
Thermal Stability ◽  
Thermodynamic Stability ◽  
Experimental Approach ◽  
Metal Alloys ◽  
Model Predictions ◽  
The Stability ◽  
Experimental Findings ◽  
Constituent Elements ◽  
Segregated Structure ◽  
Nanostructured Metal

The stability of nanostructured metal alloys is currently being extensively investigated, and several mathematical models have been developed to describe the thermodynamics of these systems. However, model capability in terms of thermal stability predictions strongly relies on grain boundary-related parameters that are difficult to measure or estimate accurately. To overcome this limitation, a novel theoretical approach is proposed and adopted in this work to identify W-based nanocrystalline alloys which are potentially able to show thermodynamic stability. A comparison between model outcomes and experimental findings is reported for two selected alloys, namely W-Ag and W-Al. Experimental results clearly highlight that W-Ag mixtures retain a segregated structure on relatively coarse length scales even after prolonged mechanical treatments. Moreover, annealing at moderate temperatures readily induces demixing of the constituent elements. In contrast, homogeneous nanostructured W-Al solid solutions are obtained by ball milling of elemental powders. These alloys show enhanced thermal stability with respect to pure W even at high homologous temperatures. Experimental evidences agree with model predictions for both the investigated systems.

scholarly journals High-Throughput Discovery of Hf Promotion on the Formation of Hcp Co and Fischer-Tropsch Activity

2020 ◽  
Author(s):  
Luis Alvarado Rupflin ◽  
Hendrik. Van Rensberg ◽  
Marco Zanella ◽  
Elliot J Carrington ◽  
Alexios Grigoropoulos ◽  
...  
Keyword(s):  
Particle Size ◽  
High Throughput ◽  
Experimental Approach ◽  
Active Phase ◽  
Minimal Change ◽  
Fischer Tropsch ◽  
Support Materials ◽  
High Throughput Method ◽  
Synthesis Catalysts ◽  
The Stability

A proxy-based high-throughput experimental approach was used to explore the stability and activity of Co-based Fischer Tropsch Synthesis catalysts with different promoters on various supports. The protocol is based on the estimation by XRD of active phase, Co, particle size and relative amounts of crystalline phases, Co to support. Sequential libraries samples enabled exploration of four Co loadings with five different promoters on six support materials. Catalysts stable to aging in syngas, displaying minimal change of particle size or relative area, were evaluated for their activity under industrial conditions. This procedure identified SiC as support for stable catalysts and a combination of Ru and Hf to promote the formation hcp Co. Unsupported bulk samples of Co with appropriate amounts of Ru and Hf revealed that the formation of hcp Co is independent of the support. The hcp Co containing catalyst presented the highest catalytic activity and C<sub>5+</sub> selectivity amongst the samples tested in this study confirming the effectiveness of the proxy-based high-throughput method.

LOCAL FEEDBACK CONTROL OF THE NEIMARK–SACKER BIFURCATION

2003 ◽  
Vol 13 (04) ◽  
pp. 879-893 ◽  
Author(s):  
HASSAN YAGHOOBI ◽  
EYAD H. ABED
Keyword(s):  
Feedback Control ◽  
Logistic Map ◽  
Period Doubling ◽  
Discrete Time System ◽  
Feedback Controllers ◽  
Local Feedback ◽  
The Stability ◽  
Control System Model ◽  
Model Reference Adaptive ◽  
Control Designs

Local bifurcation control designs have been addressed in the literature for stationary, Hopf, and period doubling bifurcations. This paper addresses the local feedback control of the Neimark–Sacker bifurcation, in which an invariant closed curve emerges from a nominal fixed point of a discrete-time system as a parameter is slowly varied. The analysis of this bifurcation is more involved than for previously considered bifurcations. The paper develops the stability and amplitude equations for the bifurcated invariant curves of the Neimark–Sacker bifurcation, and then proceeds to apply these relationships in the design of nonlinear feedbacks. The feedback controllers are applied to two examples: the delayed logistic map and a model reference adaptive control system model.

One-Way Buckling of Circular Rings Confined Within a Rigid Boundary

1995 ◽  
Vol 117 (2) ◽  
pp. 162-169 ◽  
Author(s):  
C. Sun ◽  
W. J. D. Shaw ◽  
A. M. Vinogradov
Keyword(s):  
Critical Condition ◽  
Experimental Approach ◽  
Equilibrium Analysis ◽  
Initial Deflection ◽  
Rigid Boundary ◽  
Geometric Imperfections ◽  
Circular Rings ◽  
Initial Geometric Imperfections ◽  
The Stability ◽  
Theoretical Results

The stability of a ring confined by a rigid boundary, subjected to circumferential end loads, is investigated both theoretically and experimentally. The effect of initial geometric imperfections on the buckling load is determined by assuming an initial deflection configuration as a simple sine form and the critical condition was derived from equilibrium analysis. An experimental approach was designed to verify the analytical results. Comparison with other theoretical results are also made.

Biomechanical Characterization of a Cervical Corporectomy Using Porcine Specimens, Following an Experimental Approach

2011 ◽  
Vol 478 ◽  
pp. 103-111 ◽  
Author(s):  
Luis Héctor Hernández-Gómez ◽  
Juan Alfonso Beltrán-Fernández ◽  
G. Urriolagoitia-Calderón ◽  
A. González-Rebatú ◽  
M. M. Galán Vera ◽  
...  
Keyword(s):  
Bone Graft ◽  
Critical Parameter ◽  
Experimental Approach ◽  
Structural Integrity ◽  
Cervical Vertebrae ◽  
Precise Evaluation ◽  
Cervical Plate ◽  
The Stability ◽  
Alternative Solutions

In this paper, the interaction among cervical vertebrae, a cervical plate and a bone graft implant, which is developed in a Corporectomy, is analyzed in an experimental form. In the case of specific damaged vertebra, its replacement is one of the alternative solutions. However, the displacement between the vertebral adjacent facets and the bone graft is a critical parameter which has to be evaluated in order to ensure the stability of the spine. Besides, it is advisable to make a precise evaluation of the structural integrity of the arrangement. For this study, porcine cervical vertebrae (C3-C5) were instrumented in order to replace a damaged C4 vertebra. This arrangement was tested under compression. The experimental observations were complemented with a numerical model. The displacements between the vertebral facets and the bone graft were measured. They are lower than 3 mm in order to develop stability in the spine. Besides, the proposed arrangement has structural integrity and the surgical procedure is simplified, as no wires are used.

scholarly journals Dynamic Effects Arise Due to Consumers’ Preferences Depending on Past Choices

Entropy ◽  
2020 ◽  
Vol 22 (2) ◽  
pp. 173 ◽  
Author(s):  
Sameh S. Askar ◽  
A. Al-khedhairi
Keyword(s):  
Numerical Simulation ◽  
Fixed Points ◽  
Chaotic Behavior ◽  
Logistic Map ◽  
Dynamic Effects ◽  
One Dimensional ◽  
First Case ◽  
The Stability ◽  
Conditions Of Stability ◽  
Dynamic Duopoly

We analyzed a dynamic duopoly game where players adopt specific preferences. These preferences are derived from Cobb–Douglas utility function with the assumption that they depend on past choices. For this paper, we investigated two possible cases for the suggested game. The first case considers only focusing on the action done by one player. This action reduces the game’s map to a one-dimensional map, which is the logistic map. Using analytical and numerical simulation, the stability of fixed points of this map is studied. In the second case, we focus on the actions applied by both players. The fixed points, in this case, are calculated, and their stability is discussed. The conditions of stability are provided in terms of the game’s parameters. Numerical simulation is carried out to give local and global investigations of the chaotic behavior of the game’s map. In addition, we use a statistical measure, such as entropy, to get more evidences on the regularity and predictability of time series associated with this case.

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