3,699 research outputs found
The Kinetic Basis of Self-Organized Pattern Formation
In his seminal paper on morphogenesis (1952), Alan Turing demonstrated that
different spatio-temporal patterns can arise due to instability of the
homogeneous state in reaction-diffusion systems, but at least two species are
necessary to produce even the simplest stationary patterns. This paper is aimed
to propose a novel model of the analog (continuous state) kinetic automaton and
to show that stationary and dynamic patterns can arise in one-component
networks of kinetic automata. Possible applicability of kinetic networks to
modeling of real-world phenomena is also discussed.Comment: 8 pages, submitted to the 14th International Conference on the
Synthesis and Simulation of Living Systems (Alife 14) on 23.03.2014, accepted
09.05.201
Integrated chaos generators
This paper surveys the different design issues, from mathematical model to silicon, involved on the design of integrated circuits for the generation of chaotic behavior.ComisiĂłn Interministerial de Ciencia y TecnologĂa 1FD97-1611(TIC)European Commission ESPRIT 3110
Secure transmission of information by digital chaotic signals
Protecting signals is one of the main tasks in information transmission. A large number of different methods have been employed since many centuries ago. Most of them have been based on the use of certain signal added to the original one. When the composed signal is received, if the added signal is known, the initial information may be obtained. The main problem is the type of masking signal employed. One possibility is the use of chaotic signals, but they have a first strong limitation: the need to synchronize emitter and receiver. Optical communications systems, based on chaotic signals, have been proposed in a large number of papers. Moreover, because most of the communication systems are digital and conventional chaos generators are analogue, a conversion analogue-digital is needed. In this paper we will report a new system where the digital chaos is obtained from an optically programmable logic structure. This structure has been employed by the authors in optical computing and some previous results in chaotic signals have been reported. The main advantage of this new system is that an analogue-digital conversion is not needed. Previous works by the authors employed Self-Electrooptical Effect Devices but in this case more conventional structures, as semiconductor laser amplifiers, have been employed. The way to analyze the characteristics of digital chaotic signals will be reported as well as the method to synchronize the chaos generators located in the emitter and in the receiver
Stability analysis and control of DC-DC converters using nonlinear methodologies
PhD ThesisSwitched mode DC-DC converters exhibit a variety of complex behaviours in power
electronics systems, such as sudden changes in operating region, bifurcation and
chaotic operation. These unexpected random-like behaviours lead the converter to
function outside of the normal periodic operation, increasing the potential to generate
electromagnetic interference degrading conversion efficiency and in the worst-case
scenario a loss of control leading to catastrophic failure.
The rapidly growing market for switched mode power DC-DC converters demands
more functionality at lower cost. In order to achieve this, DC-DC converters must
operate reliably at all load conditions including boundary conditions. Over the last
decade researchers have focused on these boundary conditions as well as nonlinear
phenomena in power switching converters, leading to different theoretical and
analytical approaches. However, the most interesting results are based on abstract
mathematical forms, which cannot be directly applied to the design of practical
systems for industrial applications.
In this thesis, an analytic methodology for DC-DC converters is used to fully
determine the inherent nonlinear dynamics. System stability can be indicated by the
derived Monodromy matrix which includes comprehensive information concerning
converter parameters and the control loop. This methodology can be applied in
further stability analysis, such as of the influence of parasitic parameters or the effect
of constant power load, and can furthermore be extended to interleaved operating
converters to study the interaction effect of switching operations. From this analysis,
advanced control algorithms are also developed to guarantee the satisfactory
performance of the converter, avoiding nonlinear behaviours such as fast- and slowscale
bifurcations. The numerical and analytical results validate the theoretical
analysis, and experimental results with an interleaved boost converter verify the
effectiveness of the proposed approach.Engineering and Physical Sciences
Research Council (EPSRC), China Scholarship Council (CSC), and school of
Electrical and Electronic Engineerin
An Algorithmic Approach for Signal Measurement Using Symbolic Dynamics of Tent Map
Abstract:
The symbolic time series generated by a unimodal chaotic map starting from any initial condition creates a binary sequence that contains information about the initial condition. A binary sequence of a given length generated this way has a one-to-one correspondence with a given range of the input signal. This can be used to construct analogue to digital converters (ADC). However, in actual circuit realizations, component imperfections and ambient noise result in deviations in the map function from the ideal, which, in turn, can cause significant error in signal measurement. In this paper, we propose the ways of circumventing these problems through an algorithmic procedure that takes into account the non-idealities. The most common form of non-ideality--reduction in the height of the map function--alters the partitions that correspond to each symbolic sequence. We show that it is possible to define the partitions correctly if the height of the map function is known. We also propose a method to estimate this height from the symbolic sequence obtained. We demonstrate the efficacy of the proposed algorithm with simulation as well as experiment. With this development, practical ADCs utilizing chaotic dynamics may become reality
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