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In this thesis I introduce a new direction to computing using nonlinear chaotic dynamics. The main idea is rich dynamics of a chaotic system enables us to (1) build better computers that have a flexible instruction set, and (2) carry out computation that conventional computers are not good at it.

In this thesis I introduce a new direction to computing using nonlinear chaotic dynamics. The main idea is rich dynamics of a chaotic system enables us to (1) build better computers that have a flexible instruction set, and (2) carry out computation that conventional computers are not good at it. Here I start from the theory, explaining how one can build a computing logic block using a chaotic system, and then I introduce a new theoretical analysis for chaos computing. Specifically, I demonstrate how unstable periodic orbits and a model based on them explains and predicts how and how well a chaotic system can do computation. Furthermore, since unstable periodic orbits and their stability measures in terms of eigenvalues are extractable from experimental times series, I develop a time series technique for modeling and predicting chaos computing from a given time series of a chaotic system. After building a theoretical framework for chaos computing I proceed to architecture of these chaos-computing blocks to build a sophisticated computing system out of them. I describe how one can arrange and organize these chaos-based blocks to build a computer. I propose a brand new computer architecture using chaos computing, which shifts the limits of conventional computers by introducing flexible instruction set. Our new chaos based computer has a flexible instruction set, meaning that the user can load its desired instruction set to the computer to reconfigure the computer to be an implementation for the desired instruction set. Apart from direct application of chaos theory in generic computation, the application of chaos theory to speech processing is explained and a novel application for chaos theory in speech coding and synthesizing is introduced. More specifically it is demonstrated how a chaotic system can model the natural turbulent flow of the air in the human speech production system and how chaotic orbits can be used to excite a vocal tract model. Also as another approach to build computing system based on nonlinear system, the idea of Logical Stochastic Resonance is studied and adapted to an autoregulatory gene network in the bacteriophage λ.
ContributorsKia, Behnam (Author) / Ditto, William (Thesis advisor) / Huang, Liang (Committee member) / Lai, Ying-Cheng (Committee member) / Helms Tillery, Stephen (Committee member) / Arizona State University (Publisher)
Created2011
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Description
What can classical chaos do to quantum systems is a fundamental issue highly relevant to a number of branches in physics. The field of quantum chaos has been active for three decades, where the focus was on non-relativistic quantumsystems described by the Schr¨odinger equation. By developing an efficient method to

What can classical chaos do to quantum systems is a fundamental issue highly relevant to a number of branches in physics. The field of quantum chaos has been active for three decades, where the focus was on non-relativistic quantumsystems described by the Schr¨odinger equation. By developing an efficient method to solve the Dirac equation in the setting where relativistic particles can tunnel between two symmetric cavities through a potential barrier, chaotic cavities are found to suppress the spread in the tunneling rate. Tunneling rate for any given energy assumes a wide range that increases with the energy for integrable classical dynamics. However, for chaotic underlying dynamics, the spread is greatly reduced. A remarkable feature, which is a consequence of Klein tunneling, arise only in relativistc quantum systems that substantial tunneling exists even for particle energy approaching zero. Similar results are found in graphene tunneling devices, implying high relevance of relativistic quantum chaos to the development of such devices. Wave propagation through random media occurs in many physical systems, where interesting phenomena such as branched, fracal-like wave patterns can arise. The generic origin of these wave structures is currently a matter of active debate. It is of fundamental interest to develop a minimal, paradigmaticmodel that can generate robust branched wave structures. In so doing, a general observation in all situations where branched structures emerge is non-Gaussian statistics of wave intensity with an algebraic tail in the probability density function. Thus, a universal algebraic wave-intensity distribution becomes the criterion for the validity of any minimal model of branched wave patterns. Coexistence of competing species in spatially extended ecosystems is key to biodiversity in nature. Understanding the dynamical mechanisms of coexistence is a fundamental problem of continuous interest not only in evolutionary biology but also in nonlinear science. A continuous model is proposed for cyclically competing species and the effect of the interplay between the interaction range and mobility on coexistence is investigated. A transition from coexistence to extinction is uncovered with a non-monotonic behavior in the coexistence probability and switches between spiral and plane-wave patterns arise. Strong mobility can either promote or hamper coexistence, while absent in lattice-based models, can be explained in terms of nonlinear partial differential equations.
ContributorsNi, Xuan (Author) / Lai, Ying-Cheng (Thesis advisor) / Huang, Liang (Committee member) / Yu, Hongbin (Committee member) / Akis, Richard (Committee member) / Arizona State University (Publisher)
Created2012
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Description
Complex dynamical systems consisting interacting dynamical units are ubiquitous in nature and society. Predicting and reconstructing nonlinear dynamics of units and the complex interacting networks among them serves the base for the understanding of a variety of collective dynamical phenomena. I present a general method to address the two outstanding

Complex dynamical systems consisting interacting dynamical units are ubiquitous in nature and society. Predicting and reconstructing nonlinear dynamics of units and the complex interacting networks among them serves the base for the understanding of a variety of collective dynamical phenomena. I present a general method to address the two outstanding problems as a whole based solely on time-series measurements. The method is implemented by incorporating compressive sensing approach that enables an accurate reconstruction of complex dynamical systems in terms of both nodal equations that determines the self-dynamics of units and detailed coupling patterns among units. The representative advantages of the approach are (i) the sparse data requirement which allows for a successful reconstruction from limited measurements, and (ii) general applicability to identical and nonidentical nodal dynamics, and to networks with arbitrary interacting structure, strength and sizes. Another two challenging problem of significant interest in nonlinear dynamics: (i) predicting catastrophes in nonlinear dynamical systems in advance of their occurrences and (ii) predicting the future state for time-varying nonlinear dynamical systems, can be formulated and solved in the framework of compressive sensing using only limited measurements. Once the network structure can be inferred, the dynamics behavior on them can be investigated, for example optimize information spreading dynamics, suppress cascading dynamics and traffic congestion, enhance synchronization, game dynamics, etc. The results can yield insights to control strategies design in the real-world social and natural systems. Since 2004, there has been a tremendous amount of interest in graphene. The most amazing feature of graphene is that there exists linear energy-momentum relationship when energy is low. The quasi-particles inside the system can be treated as chiral, massless Dirac fermions obeying relativistic quantum mechanics. Therefore, the graphene provides one perfect test bed to investigate relativistic quantum phenomena, such as relativistic quantum chaotic scattering and abnormal electron paths induced by klein tunneling. This phenomenon has profound implications to the development of graphene based devices that require stable electronic properties.
ContributorsYang, Rui (Author) / Lai, Ying-Cheng (Thesis advisor) / Duman, Tolga M. (Committee member) / Akis, Richard (Committee member) / Huang, Liang (Committee member) / Arizona State University (Publisher)
Created2012
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High childhood obesity rates have resulted in many interventions to attempt to lower these rates. Interventions such as day camps, residential camps, therapy-based interventions and family-based interventions lead to changes in weight and self-esteem but family-based intervention leads to the longest-term success for children ages nine to 17. Analysis of

High childhood obesity rates have resulted in many interventions to attempt to lower these rates. Interventions such as day camps, residential camps, therapy-based interventions and family-based interventions lead to changes in weight and self-esteem but family-based intervention leads to the longest-term success for children ages nine to 17. Analysis of the interventions was measured using tools such as BMI, BMI-percentiles, and weight. Psychological measures such as self-esteem, happiness, and quality of life analysis was preferred, however were not measured in all studies. While most interventions resulted in weight loss and increased self-esteem, results were often not long-term. Studies provided evidence that family-based therapy has potential to last long-term, however there is a lack of research. To determine the most effective childhood nutrition intervention research must conduct follow-ups for many years after the initial intervention to ensure they provide long-term results.
ContributorsAnderson, Megan Lee (Author) / McCoy, Maureen (Thesis director) / Kniskern, Megan (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2020-05
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Description
The purpose of this study was to develop proposal lesson plans for 4th-6th graders based on active learning to integrate movement physical activity into the curriculum. The 4th-6th graders were chosen, as this is the age where teaching typically transitions from active learning to sedentary/lecture style teaching. Research compiled indicated

The purpose of this study was to develop proposal lesson plans for 4th-6th graders based on active learning to integrate movement physical activity into the curriculum. The 4th-6th graders were chosen, as this is the age where teaching typically transitions from active learning to sedentary/lecture style teaching. Research compiled indicated positive effects of active based learning on children such as increased attention span, retention, and general focus. A survey was created to not only assess the perception of active versus didactic learners, but to also assess the effects of movement-based learning on the variables that research claimed to change. The lesson plans developed here should be transferable to a classroom lesson to evaluate the hypothesized results.
ContributorsTanna, Nimisha (Author) / Hyatt, JP (Thesis director) / Ainsworth, Barbara (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
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About 75% of men and 66.58% of women are considered overweight or obese (BMI ≥25). $117 billion dollars is spent each year in medical costs due to physical inactivity. Aerobic exercise has been well defined in its’ benefits to cardiovascular health; however, the effects of resistance training are still not

About 75% of men and 66.58% of women are considered overweight or obese (BMI ≥25). $117 billion dollars is spent each year in medical costs due to physical inactivity. Aerobic exercise has been well defined in its’ benefits to cardiovascular health; however, the effects of resistance training are still not well defined. The purpose of this preliminary analysis was to evaluate the vascular health effects (central and peripheral blood pressure and VO2 max) of two different types of resistance training programs: high load, low repetitions resistance training and low load, high repetitions resistance training. Fourteen participants aged 18-55 years (6 males, 8 females) were involved in this preliminary analysis. Data were collected before and after the 12-week long exercise program (36 training sessions) via pulse wave analysis and VO2peak testing. Multivariate regression analysis of training program effects, while adjusting for body mass index and time, did not result in significant training effects on central and peripheral diastolic blood pressure, nor VO2peak. A statistical trend was observed between the different training programs for systolic blood pressure, suggesting that subjects partaking in the high load, low repetitions program exhibited higher systolic blood pressures than the low load, high repetitions group. With a larger sample size, the difference in systolic blood pressure may increase between training program groups and indicate that greater loads with minimal repetitions may increase lead to clinically significant elevations in blood pressure. Further work is needed to uncover the relationship between different types of resistance training and blood pressure, especially if these lifting regimens are continued for longer lengths of time.
ContributorsHill, Cody Alan (Co-author) / Hill, Cody (Co-author) / Whisner, Corrie (Thesis director) / Angadi, Siddhartha (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
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Description
Introduction: Individuals with rotator cuff tears have been found to compensate in their movement patterns by using lower thoracohumeral elevation angles during certain tasks, as well as increased internal rotation of the shoulder (Vidt et al., 2016). Leading joint hypothesis suggests there is one leading joint that creates the foundation

Introduction: Individuals with rotator cuff tears have been found to compensate in their movement patterns by using lower thoracohumeral elevation angles during certain tasks, as well as increased internal rotation of the shoulder (Vidt et al., 2016). Leading joint hypothesis suggests there is one leading joint that creates the foundation for the entire limb motion, and there are other subordinate joints which monitor the passive interaction torque and create a net torque aiding to limb motions required for the task. This experiment seeks to establish a better understanding of joint control strategies during a wide range of arm movements. Based on the leading joint hypothesis, we hypothesize that when a subject has a rotator cuff tear, their performance of planar and three-dimensional motions should be altered not only at the shoulder, which is often the leading joint, but also at other joints on the arm, such as the elbow and wrist. This paper will focus on the effect of normal aging on the control of the joints of the arm.
Methods: There were 4 groups of participants: healthy younger adults (n=14)(21.74 ± 1.97), healthy older adults (n=12)(55-75), older adults (n=4)(55-75) with a partial-thickness rotator cuff tear, and older adults (n=4)(55-75) with a full-thickness rotator cuff tear (RCT). All four groups completed strength testing, horizontal drawing and pointing tasks, and three dimensional (3D) activities of daily living. Kinematic and kinetic variables of the arm were obtained during horizontal and 3D tasks using data from 12 reflective markers placed on the arm, 8 motion capture cameras, and Cortex motion capture software (Motion Analysis Corp., Santa Rosa, CA). Strength testing tasks were measured using a dynamometer. All strength testing and 3D tasks were completed for three trials and horizontal tasks were completed for two trials.
Results: Results of the younger adult participants showed that during the forward portion of seven 3D tasks, there were four phases of different joint control mechanics seen in a majority of the movements. These phases included active rotation of both the shoulder and the elbow joint, active rotation of the shoulder with passive rotation of the elbow, passive rotation of the shoulder with active rotation of the elbow, and passive rotation of both the shoulder and the elbow. Passive rotation during movements was a result of gravitational torque on the different segments of the arm and interaction torque caused as a result of the multi-joint structure of human limbs. The number of tested participants for the minor RCT, and RCT older adults groups is not yet high enough to produce significant results and because of this their results are not reported in this article. Between the older adult control group and the young adult control group in the tasks upward reach to eye height and hair comb there were significant differences found between the groups. The differences were found in shorter overall time and distance between the two groups in the upward eye task.
Discussion: Through the available results, multiple phases were found where one or both of the joints of the arm moved passively which further supports the LJH and extends it to include 3D movements. With available data, it can be concluded that healthy older adults use movement control strategies, such as shortening distance covered, decreasing time percentage in active joint phases, and increasing time percentage in passive joint phases, to account for atrophy along with other age-related declines in performance, such as a decrease in range of motion. This article is a part of a bigger project which aims to better understand how older adults with RCTs compensate for the decreased strength, the decreased range of motion, and the pain that accompany this type of injury. It is anticipated that the results of this experiment will lead to more research toward better understanding how to treat patients with RCTs.
ContributorsFlores, Noah Mateo (Author) / Dounskaia, Natalia (Thesis director) / Vidt, Meghan (Committee member) / College of Health Solutions (Contributor, Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
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Description
There has been a rise in the prevalence of mental health disorders among western industrialized populations.1 By 2020, depression will be second to heart disease in its contribution to the global burden of disease as measured by disability-adjusted life years.2 Anxiety disorders are the most common mental illness in the

There has been a rise in the prevalence of mental health disorders among western industrialized populations.1 By 2020, depression will be second to heart disease in its contribution to the global burden of disease as measured by disability-adjusted life years.2 Anxiety disorders are the most common mental illness in the U.S., affecting 40 million adults in the United States ages 18 and older, or 18.1% of the U.S population every year.3
Mental disorders are prevalent in young adults and frequently present between 12-24 years of age.4 The top five sources of stress reported by college students were changes in sleeping routines, changes in eating habits, increased amount of work, new responsibilities, and breaks/vacations.5 Overall, a total of 73% of college students report occasional difficulties sleeping, and 48% of students suffer from sleep deprivation, as self-reported.6,7
Lifestyle factors such as diet, exercise and sleep may influence symptoms related to stress and depression.8 Symptoms of depression include but are not limited to, persistent anxious or sad moods, feeling guilty or helpless, loss of interest in hobbies, irritability, and other behaviors that may interrupt daily living.9 Inadequate intake of folic acid from fruits and vegetables, and essential fatty acids in fish, may increase symptoms of depression.10 Unhealthy eating habits may be associated with increases in depression-like symptoms in women, supporting the notion that healthier eating habits may decrease major depression.11 Diet is only one component of how lifestyle may influence depression and stress in adults. Exercise may be another important component in decreasing depression-related symptoms due to the release of endorphins.12 It has been found that participating in regular physical activity may decrease tension levels, increase and stabilize mood, improve self-esteem, and lead to better sleeping patterns.13 It has been concluded that individuals who consume a healthy diet are less likely to experience depression whereas people eating unhealthy and processed diets are more likely to be depressed.14
Poor sleep quality as well as unstable sleeping patterns may lead to poor psychological and physical health.15 Poor sleep includes longer duration of sleep onset latency, which is defined as the amount of time it takes to fall asleep, waking up multiple times throughout the night, and not getting a restful sleep because of tossing and turning.16 In healthy adults, the short-term consequences of sleep disruption consist of somatic pain, emotional destress and mood disorders, reduced quality of life, and increased stress responsivity.17 Irregular sleep-wake patterns, defined as taking numerous naps within a 24 hour span and not having a main nighttime sleep experience, are present at alarming levels (more than a quarter) among college students.18 A study done with 2,000 college students concluded that more than a quarter of the students were at risk of a sleeping disorder.19 Therefore, college students who were classified as poor-quality sleepers, reported experiencing more psychological and physical health problems compared to their healthy counterparts. Perceived stress was also found to be a factor in lower sleep quality of young adults.20
The link between depression-like symptoms and sleep remains poorly understood. It is mentioned that there are risk factors of poor sleep, depression and anxiety among college students but this topic has not yet been heavily studied within this population.
ContributorsBosnino, Jasmine (Co-author, Co-author) / Whisner, Corrie (Thesis director) / Petrov, Megan (Committee member) / Mahmood, Tara (Committee member) / College of Health Solutions (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
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Description
Patients face tremendous challenges when attempting to navigate the United States health care system. This difficulty to navigate the system creates a burden that is placed on the patient and caregiver, in turn affecting the health outcomes of the patient, resulting in higher health care costs, less than desirable outcomes,

Patients face tremendous challenges when attempting to navigate the United States health care system. This difficulty to navigate the system creates a burden that is placed on the patient and caregiver, in turn affecting the health outcomes of the patient, resulting in higher health care costs, less than desirable outcomes, and a large strain on the patient and caregiver's daily lives. There are several ways that people have tried to create a comprehensive theoretical framework to understand the system from multiple perspectives. This work will expand existing theoretical frameworks that observes the relationship between the patient, their social networks, and health care services such as the Burden of Treatment Theory. Consisting of a comprehensive, multidisciplinary literature review, research was derived from the disciplines of medicine, informatics, management, and ethics. In this paper, I attempt to identify key contributing factors and then develop and categorize these stressors into a typology. Since there are many contributing factors that affect the burden of work at multiple levels, a nested typology will be used which will link micro- and macro-leveled pressures to a single system while also showcasing how each level interacts and is influenced by the others. For the categorization of the contributing factors, they will be sorted into individual actors, organizational level, and macro-level factors. The implications of this work suggest that a combination of historical shifts, structural design, and secondary effects of policy contribute to patients' burden of work.
ContributorsTomlinson, Rachel Laiku (Author) / Pine, Katie (Thesis director) / Trinh, Mai (Committee member) / School for the Science of Health Care Delivery (Contributor) / Barrett, The Honors College (Contributor) / College of Health Solutions (Contributor)
Created2017-05
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Description
This thesis covers second language acquisition in regards to age, examining the difference between elementary and high school students. The primary language of all the students tested was English. The second language being tested in this study is German. The general age range in the elementary students observed was 7-12

This thesis covers second language acquisition in regards to age, examining the difference between elementary and high school students. The primary language of all the students tested was English. The second language being tested in this study is German. The general age range in the elementary students observed was 7-12 years old. The high school students' ages were between 14-18 years old. The environment consisted of a physical education atmosphere, which includes: gyms, outside recreational areas, fitness equipment, fields, etc. Methods used to conduct this study were visual and auditory/verbal approaches. No direct instruction was provided to the students, they were assessed based on their ability to absorb the information when provided to them indirectly in a traditional classroom atmosphere. In addition, direct instruction is also not conducive to a physical education setting as it has the potential to detract from the necessary lesson content.
ContributorsMarch, Ashley Taylor (Author) / Pangrazi, Connie (Thesis director) / Gilfillan, Daniel (Committee member) / School of International Letters and Cultures (Contributor) / College of Health Solutions (Contributor) / Division of Teacher Preparation (Contributor) / Barrett, The Honors College (Contributor)
Created2017-05