This research activity focuses on the developments of theoretical foundations for chaos synchronization based on the experimental studies of synchronization phenomenon in physical, neurobiological and other systems. 1.8.2 Synchronization of Chaotic systems Synchronization of chaotic oscillators is one of the most important achievements of nonlin- ear dynamics within the last few decades was the discovery of complex, chaotic motion in rather simple oscillators. Now this phenomenon is well studied and is a subject of under- graduate and high-school courses; nevertheless some introductory presentation is pertinent. The term “chaotic” means that the long term behavior of a dynamical system cannot be predicted even if there were no natural fluctuations of the systems parameters or influence of a noisy environment. Irregularity and unpredictability result from the internal deter- ministic dynamics of the system, however contradictory this may sound.
That language is a complex system in which a multitude of factors interact in known and unknown ways is a wellestablished fact. Many theories and models have been proposed and adopted in studying this complex system. An interesting theory which has been applied to the study of this intricacy is the “complexity” or “chaos theory”. Chaos theory is a branch of study in applied mathematics which has found applications in other disciplines including physics, economics, biology, philosophy and language acquisition. The name chaos theory comes from the fact that the systems described by the theory are seemingly disordered, but chaos theory seeks to find the underlying order in the seemingly random data.
The human drive to engage in occupational process as self-organizing function is that which gives life richness and meaning. Chaos theory is a working tool for intervention of occupational science and occupational therapy concepts, knowledge and science allowing the unique care of individual’s experiences. There are different variables or processes that co worked together influencing the occupation. Furthermore, Chaos theory reminds us that we worked in a dynamic world with continuous changes. When chaos arrived to our interventions we need to be flexible and holistic to adapt the meaningful activities and occupations of our clients because we can guide them but every human engage in their own occupations based own experiences and beliefs.
Chaos may refer to what appears to proceed according to chance even though their behavior is in fact determined by precise laws (3-4). Robert C. Hilborn in his Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers describes chaos as “the apparently complex behavior of what we consider to be simple, well-behaved systems. Chaotic behavior, when looked at, casually looks erratic and almost random” (3). In science, the term chaos is related to nonlinearity, complexity, and fractality (Hilborn,
The characteristic of having lesser ambiguity leads to stability in a bipolar system. However, this characteristic can also contribute to instability. As aforementioned, the two superpowers tend to overreact (Hopf Lecture Jan 27). When one’s power increases, the other will definitely act to balance it as evident from the nuclear arms race between the two powers of the United States (US) and Soviet Union (USSR) during the Cold War. The security competition between them and the contest for nuclear supremacy led to the development of nuclear weapons to such massive levels that there was ‘stability’ because neither wished to directly fight each other to evade incurring the tremendous costs of nuclear warfare.
2.2 TRANSIENT STABILITY Transient stability is the ability of the power system to maintain synchronism when subjected to any transient disturbance such as the occurrence of a fault, the sudden outage or the sudden application or removal of loads. The resulting system response involves large excursions of generator rotor angles and is influenced by the nonlinear power-angle relationship. Stability depends on the initial operating state of the system and the severity of the disturbance. The system usually altered after the disturbance which may cause the system to operate in a different steady-state status from that prior the disturbance. Following such sudden disturbances in the power system, rotor angular differences, rotor speeds and power
6. Butterfly Effect: Ex-convict and Society Although butterfly effect is a theory which came from meteorological sciences and by the initial work of American meteorologist Edward N. Lorenz to highlight that small cause may have large effects (Lorenz, 2001). In criminology, this theory can be used to describe the accumulation of abusive childhood experiences, dysfunctional family or social environment which is conducive for the burgeoning of any crime, which escalates into a major event e.g. becoming professional criminal. On the other hand, this theory can also be applied to understand the turning of a first time offender into repeat offender in the absence of any kind of support from the family in terms of emotional and psychological support
The first is the perturbation theory aspect which plays an important role in studies of structure formation. The second is the asymptotic stability aspect which is used mainly for issues involving geometric and nonlinear dynamics. The latter problem naturally comes to surface when we investigate whether or not there is a possibly more general significance in a given exact solution
Fattaneh Abbasi Talabari email@example.com Abstract Sciences exist to demonstrate the fundamental order underlying nature. Chaos/complexity theory is a novel and amazing field of scientific inquiry. Notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (Retrieved from http://www.inclusional-research.org/comparisons4.php). It is interested in how disorder leads to order, of how complexity emerges in nature. There appears to be many striking and eye-catching similarities between the new science of chaos/complexity and education.