Towards an information geometric characterization/classification of complex systems. II. Critical parameter values from the (c,d)-manifold

Abstract Building a portfolio of deformations is the key step for building better defect models for the test and yield learning domain. A viable approach to achieve this goal is through geometric characterization and classification of failure patterns found on memory fail bitmaps. In this paper, we present preliminary results on how to build such a portfolio of deformations for an IC technology of interest based on a fail bitmap analysis study conducted on large, modern SRAM memory products.

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On the singularity structure of Kahan discretizations of a class of quadratic vector fields

European Journal of Mathematics ◽

10.1007/s40879-021-00479-4 ◽

2021 ◽

Author(s):

René Zander

Keyword(s):

Elliptic Curves ◽

Vector Fields ◽

Singularity Structure ◽

Quadratic Vector Fields ◽

Parameter Values

AbstractWe discuss the singularity structure of Kahan discretizations of a class of quadratic vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves.

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Characterization and classification of commercial thyme honeys produced in specific Mediterranean countries according to geographical origin, using physicochemical parameter values and mineral content in combination with chemometrics

European Food Research and Technology ◽

10.1007/s00217-016-2803-0 ◽

2016 ◽

Vol 243 (5) ◽

pp. 889-900 ◽

Cited By ~ 13

Author(s):

Ioannis K. Karabagias ◽

Artemis P. Louppis ◽

Sofia Karabournioti ◽

Stavros Kontakos ◽

Chara Papastephanou ◽

...

Keyword(s):

Mineral Content ◽

Geographical Origin ◽

Physicochemical Parameter ◽

Mediterranean Countries ◽

Parameter Values

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Reliability Optimization of Complex Systems Using Cuckoo Search Algorithm

Mathematical Concepts and Applications in Mechanical Engineering and Mechatronics - Advances in Mechatronics and Mechanical Engineering ◽

10.4018/978-1-5225-1639-2.ch005 ◽

2017 ◽

pp. 94-110 ◽

Cited By ~ 6

Author(s):

Anuj Kumar ◽

Sangeeta Pant ◽

S. B. Singh

Keyword(s):

Complex Systems ◽

Life Support ◽

Optimization Problems ◽

Search Algorithm ◽

Cuckoo Search ◽

Cuckoo Search Algorithm ◽

Reliability Optimization ◽

Space Capsule ◽

Metaheuristic Techniques

In this chapter, authors briefly discussed about the classification of reliability optimization problems and their nature. Background of reliability and optimization has also been provided separately so that one can clearly understand the basic terminology used in the field of reliability optimization. Classification of various optimization techniques have also been discussed by the authors. Few metaheuristic techniques related to reliability optimization problems like Genetic Algorithm (GA), Ant Colony Optimization (ACO) and Particle Swarm Optimization (PSO) have been discussed in brief. Thereafter, authors have discussed about Cuckoo Search Algorithm (CSA) which is the main focus of this chapter. Finally, Cuckoo Search Algorithm has been applied for solving reliability optimization problems of two complex systems namely complex bridge system and life support system in space capsule. Simulation results and conclusion have been presented in the last followed by the references.

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Industrial Verification of Piezo Motors on a CubeSat Based Verification Platform

CANEUS2006: MNT for Aerospace Applications ◽

10.1115/caneus2006-11084 ◽

2006 ◽

Author(s):

Manuel Czech ◽

Ulrich Walter

Keyword(s):

Complex Systems ◽

Low Complexity ◽

Micro Electro Mechanical System ◽

Mission Design ◽

Technology Readiness ◽

Key Technology ◽

Mems Technology ◽

Segmented Mirror ◽

Mirror Telescope

Due to the classification of technologies in NASA’s and ESA’s technology readiness levels, newly developed components have to be space proven before they can be utilized in space missions. This space prove can be adduced by sending these technologies to orbit either as experiment on a piggyback flight or a dedicated mission. Over the last years the size of technologies and satellites has shifted to much smaller sizes. In this paper, the possibility of industrial verification of MEMS (Micro Electro Mechanical System) applications using dedicated pico-satellite missions is examined. Based on the CubeSat concept, a technology verification platform can be realized for verification of not only pico-satellite components, but also of components of complex systems and missions. Therefore a platform fulfilling the requirements for such industrial verification of components named MOVE (Munich Orbital Verification Experiment) is developed at the Institute of Astronautics (LRT). This platform enables professional verification of MEMS technology and techniques at overall mission costs of less than 100k€. As a first application of this approach, a mission called π-MOVE (π for piezo) will verify piezo motors on the developed platform. These piezo motors are representative for components of complex systems, as this motor concept is considered to be key technology for future segmented mirror telescope missions. In the mission design process for this platform, strong emphasis is put on the robustness of the design, low complexity and realizability within the institute’s environment. The advantages through access to both university and industry resources will be taken. The feasibility of professional technology verification is highly dependent on the test plans, which are developed in cooperation with the experienced industrial partners.

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ANALYTICAL PREDICTION OF THE TWO FIRST PERIOD-DOUBLINGS IN A THREE-DIMENSIONAL SYSTEM

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127400000943 ◽

2000 ◽

Vol 10 (06) ◽

pp. 1497-1508 ◽

Cited By ~ 5

Author(s):

M. BELHAQ ◽

M. HOUSSNI ◽

E. FREIRE ◽

A. J. RODRÍGUEZ-LUIS

Keyword(s):

Periodic Orbit ◽

Critical Parameter ◽

Order Approximation ◽

Three Dimensional ◽

Period Doubling ◽

Dimensional System ◽

Analytical Prediction ◽

Parameter Values ◽

Three Dimensional System ◽

Period Doubling Bifurcations

Analytical study of the two first period-doubling bifurcations in a three-dimensional system is reported. The multiple scales method is first applied to construct a higher-order approximation of the periodic orbit following Hopf bifurcation. The stability analysis of this periodic orbit is then performed in terms of Floquet theory to derive the critical parameter values corresponding to the first and second period-doubling bifurcations. By introducing suitable subharmonic components in the first order of the multiple scale analysis the two critical parameter values are obtained simultaneously solving analytically the resulting system of two algebraic equations. Comparisons of analytic predictions to numerical simulations are also provided.

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Dynamic bifurcations in non-stationary systems: transitions with an unpredictable outcome

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1995.0137 ◽

1995 ◽

Vol 451 (1942) ◽

pp. 471-485 ◽

Cited By ~ 5

Keyword(s):

Critical Parameter ◽

Initial Conditions ◽

Basins Of Attraction ◽

Important Concept ◽

New Form ◽

Parameter Values ◽

Dynamic Bifurcations

In nonlinear non-stationary systems, dynamic bifurcations result in a transition to a qualitatively new state. In this paper we examine how the dynamics of transition of such systems may be assessed using the concept of transient basins of attraction. We delineate the phenomenon of indeterminate dynamic bifurcations, where it is shown that the response, after the system passes through critical parameter values, may be extremely sensitive to the choice of initial conditions or parameter states. This new form of unpredictability in systems whose parameters vary with time, is clearly an important concept to be assimilated in the theory of non-stationary dynamics.

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