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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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Description
Aside from uplifting and tearing down the mood of a young LGBTQ+ kid, journalistic media has the potential to alter the way audiences understand and react to individuals of the LGBTQ+ community. Looking at the rhetorical approaches, frameworks, and expanded narratives of news sources, this project engages with the concepts

Aside from uplifting and tearing down the mood of a young LGBTQ+ kid, journalistic media has the potential to alter the way audiences understand and react to individuals of the LGBTQ+ community. Looking at the rhetorical approaches, frameworks, and expanded narratives of news sources, this project engages with the concepts of same-sex marriage, lifestyles, bans, and children in education in order to attain an understanding of what media messages are being shared, how they are being communicated, and what the implications of such rhetoric are. Summary of the findings:
• Same-sex marriage as the win that cannot be repeated.
Infamously known as the central legal battle for the LGBTQ+ community, same-sex marriage finds itself in many political speeches, campaigns, and social commentaries. Interestingly, after being legalized through a Supreme Court decision in the United States, Same-Sex Marriage finds itself framed as the social inevitability that should not be repeated in politics or any legal shift. In other words, “the gays have won this battle, but not the war.”
• There are risks around the “LGBTQ+ lifestyle” and its careful catering to an elite minority and the mediation through bans.
The risks of the LGBTQ+ “lifestyle” date back far, with many connotations being attached to being LGBTQ+ (AIDS epidemics, etc.). In modern journalism, many media outlets portray LGBTQ+ individuals to be a tiny minority (.001% according to some) that demands the whole society to adhere to their requests. This framework portrays the LGBTQ+ community as oppressors and obsessed advocates that can never “seem to get enough” (ex: more than just marriage). The bans are framed as the neutralizing factor to the catering.
• LGBTQ+ children and topics in academic and social spaces are the extreme degree.
When it comes to LGBTQ+ issues and conversations as they revolve around children, media outlets have some of the most passionate opinions about them. Often portrayed as “the line that shouldn’t be crossed,” LGBTQ+ issues, as they find themselves in schools and other spaces, are thus portrayed as bearable to a certain degree, never completely. Claims of indoctrination are also presented prominently even when institutional efforts are to protect LGBTQ+ kids.
ContributorsNieto Calderon, Ramon Antonio (Author) / Himberg, Julia (Thesis director) / Sturges, Robert (Committee member) / Department of English (Contributor) / Barrett, The Honors College (Contributor)
Created2018-05
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Description
Waltz, is a collection of poems written to play along the boundaries between sound, language, and meaning. As a vehicle for exploration, the poems in Waltz, commandeer themes of nostalgia, love, loss, and abstraction, all of which build up and break each other down to create something of a nonlinear

Waltz, is a collection of poems written to play along the boundaries between sound, language, and meaning. As a vehicle for exploration, the poems in Waltz, commandeer themes of nostalgia, love, loss, and abstraction, all of which build up and break each other down to create something of a nonlinear narrative, and concomitant sketch of the poet.
ContributorsAieta, Joseph (Author) / Ball, Sally (Thesis director) / Liston, Chelsea (Committee member) / Department of English (Contributor) / Barrett, The Honors College (Contributor)
Created2018-05
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Description
The primary purpose of this thesis is two-fold: (1) to understand the resources presently available for Native American college student leaders at Predominantly White institutions (PWIs), and; (2) to consider ways to develop their leadership abilities and knowledge of how experience with college leadership contributes to becoming successful leaders with/in

The primary purpose of this thesis is two-fold: (1) to understand the resources presently available for Native American college student leaders at Predominantly White institutions (PWIs), and; (2) to consider ways to develop their leadership abilities and knowledge of how experience with college leadership contributes to becoming successful leaders with/in their Indigenous communities. The secondary purpose of this thesis is to propose additional resources for PWIs that can inform Native American leadership practices across academic disciplines and fields through the creation of the Indigenous & Innovative Leadership course syllabus and conference. This Honor's Thesis Project begins by exploring leadership development opportunities for Native American undergraduate students at Arizona State University, a predominantly White institution. Also explored are conceptions of Indigenous leadership as it applies to engagement in or with on-campus student organizations, tribal governments, and within surrounding Indigenous communities. This project has implications for thinking about American Indian student success beyond graduation and the role leadership and organization development has for the success of tribal communities.
ContributorsTom, Megan Joyce (Author) / Brayboy, Bryan (Thesis director) / Solyom, Jessica (Committee member) / Department of English (Contributor) / Barrett, The Honors College (Contributor)
Created2018-05
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Genocide studies have traditionally focused on the perpetrator’s intent to eradicate a particular identity-based group, using the Holocaust as their model and point of comparison. Although some aspects of the Holocaust were undoubtedly unique, recent scholars have sought to challenge the notion that it was a singular phenomenon. Instead, they

Genocide studies have traditionally focused on the perpetrator’s intent to eradicate a particular identity-based group, using the Holocaust as their model and point of comparison. Although some aspects of the Holocaust were undoubtedly unique, recent scholars have sought to challenge the notion that it was a singular phenomenon. Instead, they draw attention to a recurring pattern of genocidal events throughout history by shifting the focus from intent to structure. One particular branch of scholars seeks to connect the ideology and tactics of imperialism with certain genocidal events. These anti-imperialist genocide scholars concede that their model cannot account for all genocides, but still claim that it creates meaningful connections between genocides committed by Western colonialist powers and those that have occurred in a neoimperialist world order shaped according to Western interests. The latter includes genocides in postcolonial states, which these scholars believe were shaped by the scars of their colonial past, as well as genocides in which imperial hegemons assisted local perpetrators. Imperialist and former colonial powers have contributed meaningfully to all of these kinds of genocides, yet their contributions have largely been ignored due to their own influence on the creation of the current international order. Incorporating the anti-imperialist perspective into the core doctrine of genocide studies may lead to breakthroughs in areas of related policy and practice, such as prevention and accountability.
ContributorsParker, Ashleigh Mae (Author) / Thies, Cameron (Thesis director) / Sivak, Henry (Committee member) / School of Politics and Global Studies (Contributor) / School of Social Transformation (Contributor) / Department of English (Contributor) / Barrett, The Honors College (Contributor)
Created2020-05
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There has been a recent push for queer fiction, especially in the young adult genre, whose focus is gay and lesbian relationships. This growth is much needed in terms of visibility and the furthering of acceptance, but there are still subjects within the LGBTQ+ community that need to be addressed,

There has been a recent push for queer fiction, especially in the young adult genre, whose focus is gay and lesbian relationships. This growth is much needed in terms of visibility and the furthering of acceptance, but there are still subjects within the LGBTQ+ community that need to be addressed, including bisexual, asexual, and non-binary erasure. There are many people who claim that these identities do not exist, are labels used as a stepping stone on one's journey to discovering that they are homosexual, or are invented excuses for overtly promiscuous or prudish behavior. The existence of negative stereotypes, particularly those of non-binary individuals, is largely due to a lack of visibility and respectful representation within media and popular culture. However, there is still a dearth of non-binary content in popular literature outside of young adult fiction. Can You See Me? aims to fill the gap in bisexual, asexual, and non-binary representation in adult literature. Each of the four stories that make up this collection deals with an aspect of gender and/or sexuality that has been erased, ignored, or denied visibility in American popular culture. The first story, "We'll Grow Lemon Trees," examines bisexual erasure through the lens of sociolinguistics. A bisexual Romanian woman emigrates to Los Angeles in 1989 and must navigate a new culture, learn new languages, and try to move on from her past life under a dictatorship where speaking up could mean imprisonment or death. The second story "Up, Down, All Around," is about a young genderqueer child and their parents dealing with microaggressions, examining gender norms, and exploring personal identity through imaginary scenarios, each involving an encounter with an unknown entity and a colander. The third story, "Aces High," follows two asexual characters from the day they're born to when they are 28 years old, as they find themselves in pop culture. The two endure identity crises, gender discrimination, erasure, individual obsessions, and prejudice as they learn to accept themselves and embrace who they are. In the fourth and final story, "Mile Marker 72," a gay Mexican man must hide in plain sight as he deals with the death of his partner and coming out to his best friend, whose brother is his partner's murderer.
ContributorsOchser, Jordyn M. (Author) / Bell, Matt (Thesis director) / Free, Melissa (Committee member) / Department of English (Contributor) / Barrett, The Honors College (Contributor)
Created2018-05
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The purpose of this essay is to explain how celebrities manage their brand, as an image and commodity, using social media. Merriam-Webster defines "celebrity" as the "state of being celebrated." This essay will continue to explain how this state of celebration is a manufactured idea by the individual and the

The purpose of this essay is to explain how celebrities manage their brand, as an image and commodity, using social media. Merriam-Webster defines "celebrity" as the "state of being celebrated." This essay will continue to explain how this state of celebration is a manufactured idea by the individual and the media's portrayal. Celebrities are "well-known for their well-knowness" (Boorstin, 1961, p. 58). Boorstin (1961) explains celebrities achieve fame not for their achievements, but by creating a unique personality (as cited in Turner, 2004). Crowd culture, networks, and audience knowledge are tools celebrities must use to navigate digital nuances. They must manage performance of self, adhere to internet social norms, and the obsessive fame culture. Celebrities are often referred to have "star power" and have a certain "charisma." This cultural identity is "negotiated and formed" contrived by a team through promotion, publicity, and advertising (Turner, 2004). Celebrities market themselves through branded content, media used to promote a product, on their social media pages while targeting crowd cultures. Networks truly define how celebrities must brand themselves on social media. This person-to-person contact establishes fan and consumer connections that build the celebrity's base and following. Despite campaigning in a digital world, it goes back to people connecting with people, not accounts linking to accounts. Celebrities manufacture all of these strategies and tactics as they market themselves as a commodity to target crowd culture audiences. This is why targeting crowd cultures is vitally important for celebrities. This essay explores the techniques of select celebrities as they succeed and fail navigating digital nuances.
ContributorsPierce, Ellen (Author) / Jacoby, Jim (Thesis director) / Himberg, Julia (Committee member) / Department of English (Contributor) / Walter Cronkite School of Journalism and Mass Communication (Contributor) / Barrett, The Honors College (Contributor)
Created2017-12
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Description
In an effort to combat the lack of diversity in Children's Literature, this project displays a piece of literature titled Stories & Stages: A Tale of Two Sisters, in the form of a children's chapter book for a middle grade audience. Focusing on characters of a Hispanic background without relying

In an effort to combat the lack of diversity in Children's Literature, this project displays a piece of literature titled Stories & Stages: A Tale of Two Sisters, in the form of a children's chapter book for a middle grade audience. Focusing on characters of a Hispanic background without relying on stereotypes or false characterizations, the novel works to inspire young minds and reflect a true representation of the world children are living in. This is done using research on different aspects of Children's Literature, including: the definition of children's literature, diversity, girlhood, and sibling relationships. This research provides the basis for the project, as does personal experience and background. Following the novel is a recording of the background research involved and a documentations of the creative process. Keywords: Children's Literature, Diversity
ContributorsFlores, Abriana Lorraine (Author) / Elliott, Lisa (Thesis director) / Haddy, Lana (Committee member) / Division of Teacher Preparation (Contributor) / Department of English (Contributor) / Barrett, The Honors College (Contributor)
Created2017-12