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Showing 1 to 18 of 18 for “"Chaotic system"”.

  1. On *Categories of Cohesive, Active Sets and Other Dynamic Systems

    … is shown that a category-theoretic definition of chaotic system applies not only to the Smale horseshoe, a standard chaotic system, but also to Conway's ""Game of Life"" automaton. Symbolic dynamics of the ""Dining Philosophers"" relational system is computed. A category composed of stochastic …

    uiuc Repository record for On *Categories of Cohesive, Active Sets and Other Dynamic Systems (opens in a new tab)

  2. Reduced rank filtering in chaotic systems with application in geophysical sciences

    … all of the known properties of the underlying system. This problem is best formulated in a stochastic optimization framework, which when solved recursively is known as Filtering. Due to the large dimensions of geophysical models, optimal filtering algorithms cannot be implemented within the …

    mit Repository record for Reduced rank filtering in chaotic systems with application in geophysical sciences (opens in a new tab)

  3. Long-range predictability of high-dimensional chaotic dynamics

    … the long range prediction of high dimensional chaotic systems. To this end, I investigate the important relationship between predictability and non-uniformity of information loss throughout the state space of a chaotic system. I introduce a genetic algorithm to build predictive models by …

    uiuc Repository record for Long-range predictability of high-dimensional chaotic dynamics (opens in a new tab)

  4. Long range predictability of high dimensional chaotic dynamics

    … the long range prediction of high dimensional chaotic systems. To this end, I investigate the important relationship between predictability and non-uniformity of information loss throughout the state space of a chaotic system. I introduce a genetic algorithm to build predictive models by …

    uiuc Repository record for Long range predictability of high dimensional chaotic dynamics (opens in a new tab)

  5. A Bruised Sky Falling

    … The narrative is a reflection of memory as a chaotic system. Each essay stands alone as a single memory but also is part of the larger story of the writer's life. The fragmentation of the story lends itself to what Roland Barthes called a readerly text. That is, a reader may enter the text at …

    uno Repository record for A Bruised Sky Falling (opens in a new tab)

  6. Characterizing complex time-series from the scaling of prediction error

    … to characterize the dynamics of both a model chaotic system and physical data from the optic tectum of an attentive pigeon exhibiting the important phenomena of nonstationary neuronal oscillations in response to visual stimuli.

    uiuc Repository record for Characterizing complex time-series from the scaling of prediction error (opens in a new tab)

  7. An efficient algorithm for sensitivity analysis of chaotic systems

    How does long-term chaotic behavior respond to small parameter perturbations? Using detailed models, chaotic systems are frequently simulated across disciplines – from climate science to astrophysics. But, an efficient computation of parametric derivatives of their statistics or long-term averages, …

    mit Repository record for An efficient algorithm for sensitivity analysis of chaotic systems (opens in a new tab)

  8. Adaptive Synchronization of Chaos for Secure Communication

    … coupled logistic map, three dimensional Lorenz systems with and without time delay. Numerical simulation using MATLAB was conducted. The Lorenz system with time delay was studied numerically as well as by testing an analog circuit and comparisons was made between them. It has been pointed out in …

    embry-riddle Repository record for Adaptive Synchronization of Chaos for Secure Communication (opens in a new tab)

  9. Chaos and information in dynamic neural networks

    … and model ways to store information in dynamic, chaotic neural networks. The justification for this research is given by both biological as well as theoretical motivations [2, 27, 29, 46, 60, 107]. Firstly, there seems to be substantial support for the use of dynamic networks to study more …

    oxford-brookes Repository record for Chaos and information in dynamic neural networks (opens in a new tab)

  10. Quantum Transport Experiments with Ultracold Atoms

    … a burgeoning field of research, in which quantum systems are engineered to behave similarly to external, complex systems of interest. These quantum simulators are an alternative to the elusive all-purpose ‘quantum computer’ and instead function as analogue computers, allowing an external system of …

    auckland-ms Repository record for Quantum Transport Experiments with Ultracold Atoms (opens in a new tab)

  11. A study of the effects of spatially localized time-delayed feedback schemes on spatio-temporal patterns

    … spatio-temporal chaos, spatially extended systems were subjected to protocols that perturbed them as a whole, often overlooking the potential stabilizing interaction between adjacent regions. We have shown that through the application of a time-delayed feedback scheme to a specific …

    vt Repository record for A study of the effects of spatially localized time-delayed feedback schemes on spatio-temporal patterns (opens in a new tab)

  12. CUPOLETS: Chaotic unstable periodic orbits theory and applications

    … work suggests that periodic orbits of chaotic systems are a rich source of qualitative information about the dynamical system. The presence of unstable periodic orbits located densely on the attractor is a typical characteristic of chaotic systems. This abundance of unstable periodic …

    unh-thes Repository record for CUPOLETS: Chaotic unstable periodic orbits theory and applications (opens in a new tab)

  13. The use of adjoint models for determining the sensitivity of integral quantities in an eddy resolving Oean General Circulation Model

    … In eddy resolving ocean models the presence of chaotic eddies is expected to lead to sensitivities to infinitesimal perturbations that are very different from the sensitivity to large perturbations and that no longer contain useful information. Previous studies disagree as to whether adjoint …

    soton Repository record for The use of adjoint models for determining the sensitivity of integral quantities in an eddy resolving Oean General Circulation Model (opens in a new tab)

  14. Framework for the analysis and design of encryption strategies based on discrete-time chaotic dynamical systems

    Since 1990s chaotic dynamical systems have been widely used to design new strategies to encrypt information. Indeed, the dependency to initial conditions and control parameters, along with the ergodicity of their temporal evolution allow the establishment of chaos as the base of new cryptosystems, …

    upm Repository record for Framework for the analysis and design of encryption strategies based on discrete-time chaotic dynamical systems (opens in a new tab)

  15. Early Years Professional status: a new professional or a missed opportunity

    … greater understanding of the under theorised Chaotic System that Bronfenbrenner discussed in his final work. The research findings suggest that the development has been overwhelmingly welcomed, despite the lack of a clearly defined professional remit or being afforded the privileges ascribed …

    northampton Repository record for Early Years Professional status: a new professional or a missed opportunity (opens in a new tab)

  16. High-Dimensional Optimal Path Planning and Multi-Timescale Lagrangian Data Assimilation in Stochastic Dynamical Ocean Environments

    … and efficient computations for autonomous systems that collect information, learn, collaborate and make decisions under uncertainty, all in optimal integrated fashion and over long duration, persistently adapting to and sustainably utilizing the ocean environment. The ocean is a prime …

    mit Repository record for High-Dimensional Optimal Path Planning and Multi-Timescale Lagrangian Data Assimilation in Stochastic Dynamical Ocean Environments (opens in a new tab)

  17. Nonlinear Adaptive Estimation Andits Application To Synchronization Of Lorenz System

    … is proposed to estimate both the state and system parameters. Since Lorenz system shows the property of sensitivity to initial conditions and evolves in different mode with parameter variation, an equivalent system is introduced. The adaptive observer is designed based on this equivalent …

    ucf

  18. Addressing nonlinear systems with information-theoretical techniques

    The study of experimental recording of dynamical systems often consists in the analysis of signals produced by that system. Time series analysis consists of a wide range of methodologies ultimately aiming at characterizing the signals and, eventually, gaining insights on the underlying processes …

    trento Repository record for Addressing nonlinear systems with information-theoretical techniques (opens in a new tab)