50 resultados para homoclinic chaos


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Higher order spectral analysis is used to investigate nonlinearities in time series of voltages measured from a realization of Chua's circuit. For period-doubled limit cycles, quadratic and cubic nonlinear interactions result in phase coupling and energy exchange between increasing numbers of triads and quartets of Fourier components as the nonlinearity of the system is increased. For circuit parameters that result in a chaotic Rossler-type attractor, bicoherence and tricoherence spectra indicate that both quadratic and cubic nonlinear interactions are important to the dynamics. When the circuit exhibits a double-scroll chaotic attractor the bispectrum is zero, but the tricoherences are high, consistent with the importance of higher-than-second order nonlinear interactions during chaos associated with the double scroll.

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Polynomial models are shown to simulate accurately the quadratic and cubic nonlinear interactions (e.g. higher-order spectra) of time series of voltages measured in Chua's circuit. For circuit parameters resulting in a spiral attractor, bispectra and trispectra of the polynomial model are similar to those from the measured time series, suggesting that the individual interactions between triads and quartets of Fourier components that govern the process dynamics are modeled accurately. For parameters that produce the double-scroll attractor, both measured and modeled time series have small bispectra, but nonzero trispectra, consistent with higher-than-second order nonlinearities dominating the chaos.

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This chapter describes current trends in the global media environment, with a focus on their implications for the management of public agendas and political processes. It assesses the extent to which trends such as the growth of the blogosphere, "citizen journalism," and other forms if user-generated content, have complicated and problematized news and agenda management as engaged in by both media and political elites. It argues that, in large part due to the rise of the internet and the proliferation if online producers of information and commentary, alongside 24-hour news channels such as CNN and Al Jazeera, political and social actors today face a much more complex, chaotic communication environment than ever bifore, an environment characterized as one of cultural chaos. Having outlined the roots of this trend in the emergence of an expanded, globalized public sphere, the chapter goes on to ask if elite control over the political agenda has been eroded, and if it has, what the consequences for governmmt and the exercise if power might be. Can authoritarian regimes in China, the Middle East, and elsewhere survive the onset if internet-fueled global journalism, for example? In a political environment where public opinion is driven and buffeted by news coverage if unprecedented speed and volume, can democratic governments retain sufficient control over decision- and policy-making processes to enable competent social administration al'ld political management? Can the citizens of contemporary democracies use the emerging media environment to enhance elite accountability and strengthen the democratic process? The chapter concludes that the changing global media environment has the potmtial to strengthen democratic processes, though there is no sil'lgle template for the impact of the internet and other new media on specific countries.

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This paper investigates relationship between traffic conditions and the crash occurrence likelihood (COL) using the I-880 data. To remedy the data limitations and the methodological shortcomings suffered by previous studies, a multiresolution data processing method is proposed and implemented, upon which binary logistic models were developed. The major findings of this paper are: 1) traffic conditions have significant impacts on COL at the study site; Specifically, COL in a congested (transitioning) traffic flow is about 6 (1.6) times of that in a free flow condition; 2)Speed variance alone is not sufficient to capture traffic dynamics’ impact on COL; a traffic chaos indicator that integrates speed, speed variance, and flow is proposed and shows a promising performance; 3) Models based on aggregated data shall be interpreted with caution. Generally, conclusions obtained from such models shall not be generalized to individual vehicles (drivers) without further evidences using high-resolution data and it is dubious to either claim or disclaim speed kills based on aggregated data.

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Across Australia in 1968, students demonstrating against the Vietnam War engaged in confrontational behaviour. The metropolitan daily newspapers,the most important source of news for most people, enthusiastically reported the scenes. The demonstrations were exciting. Sensational headlines and photographs captured the interest of readers and influenced their opinions. But radical opposition to government policies at the time was not limited to university students opposing the Vietnam War. Teachers had become increasingly critical of conditions in schools, with Victorian secondary school teachers having stopped work on a number of occasions since 1965. In October 1968, both primary and secondary school teachers in New South Wales participated in eastern Australia’s first state-wide teachers’ strike. As Sydney’s Sun commented on 1 October 1968, “The teachers’ strike threw the ... education system into chaos ... A huge proportion of the State’s 2764 schools were silent and empty.” Similarities with the anti-war demonstrations were obvious. Although not as confrontational, the New South Wales teachers’ strike was a publicity-seeking action. This examination of the teachers’ more restrained, but more effective, approach to challenging government policies provides a new voice and vision to our understandings of the diverse nature of radicalism in Australia in the 1960s.

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The paper presents a detailed analysis on the collective dynamics and delayed state feedback control of a three-dimensional delayed small-world network. The trivial equilibrium of the model is first investigated, showing that the uncontrolled model exhibits complicated unbounded behavior. Then three control strategies, namely a position feedback control, a velocity feedback control, and a hybrid control combined velocity with acceleration feedback, are then introduced to stabilize this unstable system. It is shown in these three control schemes that only the hybrid control can easily stabilize the 3-D network system. And with properly chosen delay and gain in the delayed feedback path, the hybrid controlled model may have stable equilibrium, or periodic solutions resulting from the Hopf bifurcation, or complex stranger attractor from the period-doubling bifurcation. Moreover, the direction of Hopf bifurcation and stability of the bifurcation periodic solutions are analyzed. The results are further extended to any "d" dimensional network. It shows that to stabilize a "d" dimensional delayed small-world network, at least a "d – 1" order completed differential feedback is needed. This work provides a constructive suggestion for the high dimensional delayed systems.

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Dhaka, which is the capital of Bangladesh, is facing serious traffic congestion and whole traffic situation in Dhaka is in chaos. Government has initiated some projects; such as BRT, MRT and elevated expressway; to improve the situation. Road pricing is very popular concept, which can be implemented in Dhaka with BRT and MRT as an integrated manner. Even though it is very popular concept not many countries except some developed countries implemented road pricing practically. None of the developing countries adopted this policy. For success of road pricing it has to be acceptable among the stakeholders. Public are the main stakeholders for road pricing. This paper will explore whether road pricing will be acceptable in Dhaka considering only work trip in Dhaka. A sample of workers had been surveyed randomly. They were asked some demographic questions, such as age, gender, income and educational qualification; how they travelled to work; and whether they would accept road pricing; and if they would not accept road pricing the reasons behind that. Also respondents were given several hypothetical choices to see how respondents react with different road charge by choosing travel mode for their work trip. The methodological approach taken for analysis is qualitative and quantitative analysis. For quantitative analysis Binary Logit Regression analysis was carried out to find out the significant factors for accepting or not accepting road pricing.

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Coordinative couplings are commonly classified as interpersonal and intrapersonal. Interpersonal coordination is normally thought of as between organisms but a subset can also be considered where the co-actors movements are coupled to an environmental rhythm. This can be termed extrapersonal coordination. This study explores how coordination is achieved in a situation that demands that at least one actor makes use of extrapersonal sources. In this case multi-seat rowing, where one actor cannot see the other one behind them. A qualitative approach using experiential knowledge from expert rowers (N=9) and coaches (N=4) was used to examine how interpersonal coordination was achieved and maintained in 2 person rowing boats. It was reported that where possible, both rowers coordinated their movements by coupling with an invariant provided by the boat. This invariant is underpinned by perception of water flow past the boat; which is in turn used to determine changes in acceleration - 'rowing with the boat.' Bow seat also identified the rower in front and stroke seat identified the looming of the stern as viable alternative sources for coupling.

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This thesis is a work-in-progress that articulates my research journey based on the development of a curriculum innovation in environmental education. This journey had two distinct, but intertwined phases: action research based fieldwork, conducted collaboratively, to create a whole school approach to environmental education curriculum planning; and a phase of analysis and reflection based on the emerging findings, as I sought to create personal "living educational theory" about change and innovation. A key stimulus for the study was the perceived theory-practice gap in environmental education, which is often presented in the literature as a criticism of teachers for failing to achieve the values and action objectives of critical environmental education. Hence, many programs and projects are considered to be superficial and inconsequential in terms of their ability to seriously address environmental issues. The intention of this study was to work with teachers in a project that would be an exemplar of critical environmental education. This would be in the form of a whole school "learnscaping" curriculum in a primary school whereby the schoolgrounds would be utilised for interdisciplinary critical environment education. Parallel with the three cycles of action research in this project, my research objectives were to identify and comment upon the factors that influence the generation of successful educational innovation. It was anticipated that the project would be a collaboration involving me, as researcher-facilitator, and many of the teachers in the school as active participants. As the project proceeded through its action cycles, however, it became obvious that the goal of developing a critical environmental education curriculum, and the use of highly participatory processes, were unrealistic. Institutional and organisational rigidities in education generally, teachers' day-to-day work demands, and the constant juggle of work, family and other responsibilities for all participants acted as significant constraints. Consequently, it became apparent that the learnscaping curriculum would not be the hoped-for exemplar. Progress was slow and, at times, the project was in danger of stalling permanently. While the curriculum had some elements of critical environmental education, these were minor and not well spread throughout the school. Overall, the outcome seemed best described as a "small win"; perhaps just another example of the theory-practice gap that I had hoped this project would bridge. Towards the project's end, however, my continuing reflection led to an exploration of chaos/complexity theory which gave new meaning to the concept of a "small win". According to this theory, change is not the product of linear processes applied methodically in purposeful and diligent ways, but emerges from serendipitous events that cannot be planned for, or forecast in advance. When this perspective of change is applied to human organisations - in this study, a busy school - the context for change is recognised not as a stable, predictable environment, but as a highly complex system where change happens all the time, cannot be controlled, and no one can be really sure where the impacts might lead. This so-called "butterfly effect" is a central idea of this theory where small changes or modifications are created - the effects of which are difficult to know, let alone determine - and which can have large-scale impacts. Allied with this effect is the belief that long term developments in an organisation that takes complexity into account, emerge by spontaneous self-organising evolution, requiring political interaction and learning in groups, rather than systematic progress towards predetermined goals or "visions". Hence, because change itself and the contexts of change are recognised as complex, chaos/complexity theory suggests that change is more likely to be slow and evolutionary - cultural change - rather than fast and revolutionary where the old is quickly ushered out by radical reforms and replaced by new structures and processes. Slow, small-scale changes are "normal", from a complexity viewpoint, while rapid, wholesale change is both unlikely and unrealistic. Therefore, the frustratingly slow, small-scale, imperfect educational changes that teachers create - including environmental education initiatives - should be seen for what they really are. They should be recognised as successful changes, the impacts of which cannot be known, but which have the potential to magnify into large-scale changes into the future. Rather than being regarded as failures for not meeting critical education criteria, "small wins" should be cause for celebration and support. The intertwined phases of collaborative action research and individual researcher reflection are mirrored in the thesis structure. The first three chapters, respectively, provide the thesis overview, the literature underpinning the study's central concern, and the research methodology. Chapters 4, 5, and 6 report on each of the three action research cycles of the study, namely Laying the Groundwork, Down to Work!, and The Never-ending Story. Each of these chapters presents a narrative of events, a literature review specific to developments in the cycle, and analysis and critique of the events, processes and outcomes of each cycle. Chapter 7 provides a synthesis of the whole of the study, outlining my interim propositions about facilitating curriculum change in schools through action research, and the implications of these for environmental education.

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This paper will examine the idea of the fold arid its assimilation into architecture through philosophy and mathematics. In all its iterations, the fold appears as two constitutive items: the fold as self-similarity, which implies recursion; the fold within the fold, and in turn, the fold as continuous discontinuity. The persistence of this conception of die fold will be demonstrated through a discussion of Leibniz's Monadology, Deleuze's Le Pli, and some mathematical ideas from catastrophe and chaos theory. This raises the issue of continuity between disciplines and thus the philosophical status this confers on the fold.

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The Brain Research Institute (BRI) uses various types of indirect measurements, including EEG and fMRI, to understand and assess brain activity and function. As well as the recovery of generic information about brain function, research also focuses on the utilisation of such data and understanding to study the initiation, dynamics, spread and suppression of epileptic seizures. To assist with the future focussing of this aspect of their research, the BRI asked the MISG 2010 participants to examine how the available EEG and fMRI data and current knowledge about epilepsy should be analysed and interpreted to yield an enhanced understanding about brain activity occurring before, at commencement of, during, and after a seizure. Though the deliberations of the study group were wide ranging in terms of the related matters considered and discussed, considerable progress was made with the following three aspects. (1) The science behind brain activity investigations depends crucially on the quality of the analysis and interpretation of, as well as the recovery of information from, EEG and fMRI measurements. A number of specific methodologies were discussed and formalised, including independent component analysis, principal component analysis, profile monitoring and change point analysis (hidden Markov modelling, time series analysis, discontinuity identification). (2) Even though EEG measurements accurately and very sensitively record the onset of an epileptic event or seizure, they are, from the perspective of understanding the internal initiation and localisation, of limited utility. They only record neuronal activity in the cortical (surface layer) neurons of the brain, which is a direct reflection of the type of electrical activity they have been designed to record. Because fMRI records, through the monitoring of blood flow activity, the location of localised brain activity within the brain, the possibility of combining fMRI measurements with EEG, as a joint inversion activity, was discussed and examined in detail. (3) A major goal for the BRI is to improve understanding about ``when'' (at what time) an epileptic seizure actually commenced before it is identified on an eeg recording, ``where'' the source of this initiation is located in the brain, and ``what'' is the initiator. Because of the general agreement in the literature that, in one way or another, epileptic events and seizures represent abnormal synchronisations of localised and/or global brain activity the modelling of synchronisations was examined in some detail. References C. M. Michel, G. Thut, S. Morand, A. Khateb, A. J. Pegna, R. Grave de Peralta, S. Gonzalez, M. Seeck and T. Landis, Electric source imaging of human brain functions, Brain Res. 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This paper demonstrates the use of a spreadsheet in exploring non-linear difference equations that describe digital control systems used in radio engineering, communication and computer architecture. These systems, being the focus of intensive studies of mathematicians and engineers over the last 40 years, may exhibit extremely complicated behaviour interpreted in contemporary terms as transition from global asymptotic stability to chaos through period-doubling bifurcations. The authors argue that embedding advanced mathematical ideas in the technological tool enables one to introduce fundamentals of discrete control systems in tertiary curricula without learners having to deal with complex machinery that rigorous mathematical methods of investigation require. In particular, in the appropriately designed spreadsheet environment, one can effectively visualize a qualitative difference in the behviour of systems with different types of non-linear characteristic.

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Sans Faute (without fail) considers how technology has influenced Chinese society, culture and practice. The exhibition seeks to reveal a shared language between Western and Chinese contexts that exists through employing technology as a universal creative meeting point. The pervasive impact of the current digital landscape has been widely recognised, embraced and continues to influence many aspects of Chinese lives. The significance of these shifting contexts on contemporary art is explored in Sans Faute. Through the presentation of a range of video installations, the exhibition aims to initiate rigorous and critical engagement with these provocative works that challenge traditional ideologies to discover emergent ideas. Featuring works by eight artists from mainland China, Sans Faute is an exploration of different attitudes collected together to provide a complete picture of how these artists build a new iconic imagery. "The works of these artists present a younger generation's thinking of the reality of contemporary China through their own emotional and individual life experience," says Stephen Danzig, IDAprojects director. "We are currently witnessing an amazing re-identification in so many elements that make up China's social fabric - none more so than what's happening in the arts currently. You only need to see what's happening in Beijing to realise the pace of change." Sans Faute has been supported by QUT Confucius Institute.

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"Nihilistic act embraces doomsday The Age – December 2012 By Rebecca Harkins-Cross For The Book of Revelations A WOMAN stumbles backwards through the audience, burdened by an overflowing backpack, muttering about the home she’s left behind. When she reaches the mountain onstage, she looks upon its cloud-swirled peak with awe. This stillness is ruptured by an involuntary outburst as she begins spitting out the scourges of the modern world – “nuclear explosion… war… car salesman”, she yells. This is the final show in La Mama’s explorations season, which allows performers to stage works still in development. Devised and performed by theatre maker and academic Alison Richards, it questions our eschatological paranoia that the end times are upon us. It is fitting then that it is premiered on the eve of the Mayan’s prophesised doomsday. Like many pilgrims before her, Ada (Richards) ascends the mountain in search of salvation, but her journey evokes sublime terror; she speaks in tongues, collapses into fitful sleeps. Richards combines operatic singing with an ethereal score by Faye Bendrups, her eruptions into song apparently brought on by the mountain’s ecstatic pull. Richards’ seraphic voice is haunting, the lyrics evoking visions of birth and death. But when Ada finally converses with the heavens, she does not receive the revelations she hopes for: the voice of the divine is nihilistic, urging her to accept the universe’s chaos. While the work is still fragmentary, unfolding like a dream, this is a powerful performance by Richards. Its striking imagery fails to cohere yet in narrative terms, but it is promising nonetheless."