Abstract: A system and method for optimizing passive control strategies of oscillatory instabilities in turbulent systems using finite-time Lyapunov exponents are disclosed. The method includes receiving data from one or more measuring devices connected to the turbulent flow system incorporating a control strategy in the flow field. One or more flow characteristics are determined from the data obtained from the measuring devices. The method involves computing critical dynamics from backward time finite-time Lyapunov exponent (FTLE) field based on the one or more flow characteristics. Next, one or more regions of critical dynamics associated with impending oscillatory instabilities in the turbulent flow system are identified. The identified region of critical dynamics is disrupted the control the onset of oscillatory instabilities in the turbulent flow system.

Abstract: A system and method for optimizing passive control strategies of oscillatory instabilities in turbulent systems using finite-time Lyapunov exponents are disclosed. The method includes receiving data from one or more measuring devices connected to the turbulent flow system incorporating a control strategy in the flow field. One or more flow characteristics are determined from the data obtained from the measuring devices. The method involves computing critical dynamics from backward time finite-time Lyapunov exponent (FTLE) field based on the one or more flow characteristics. Next, one or more regions of critical dynamics associated with impending oscillatory instabilities in the turbulent flow system are identified. The identified region of critical dynamics is disrupted the control the onset of oscillatory instabilities in the turbulent flow system.

Abstract: The invention includes a method for predicting the operational state of equipment with turbulent flow characterized by time series data relating to its operation. The invention further includes a system and method for predicting the onset of an impending oscillatory instability. Further, the invention includes a system and method for identifying an impending absorbing transition such as flame blowout in combustion systems. A variable representing the dynamics of operation is measured with the help of a sensor, to obtain time series data. A complex network is then derived from the measured time series data. Network properties are then calculated using the complex network to identify the state of stability relating to operation of the equipment. The stability information may include one of thermoacoustic instability, aero-elastic instability such as flutter, flow-induced vibration, magneto-hydrodynamic, aerodynamic, aeromechanical, aero-acoustic instability or onset of flame blowout of a combustor.

Abstract: A method and system for determining one or more precursors to control blowout in a combustor is provided. The method includes obtaining a time series signal corresponding to a dynamic state variable of the combustor. The method includes detecting one or more precursor based on an analysis of the time series signal using one or more parameters to control blowout in the combustor. One or more parameters include a Hurst exponent estimation, a Burst count estimation, and a recurrence quantification based estimation.

Abstract: A method for detecting onset of oscillatory instability in a device is described. The method includes obtaining a symbolic time series of a time series signal corresponding to a dynamic state variable of the device. The method further includes detecting the onset of oscillatory instability in the device based on the symbolic time series.

Abstract: A computer-implemented method for visualizing patterns during internet browsing includes loading a web page in response to a user opening a browser. The web page includes web content. The computer-implemented method also includes initializing a marker corresponding to the web page, the marker implying beginning of a web session. Further, the computer-implemented method includes creating a visual pattern during the web session. The visual pattern includes the marker. Furthermore, the computer-implemented method includes terminating the marker implying end of the web session. Moreover, the computer-implemented method includes analyzing the visual pattern to infer a corresponding significance factor. The computer-implemented method includes performing appropriate actions on the web content based on the significance factor.

Abstract: A system for early detection of onset of oscillatory instabilities in practical devices is described. The system consists of a measuring device, an instability detection unit and a control unit. The measuring device is configured to generate signals corresponding to the dynamics happening inside the practical device. The instability detection unit is configured to diagnose the stability of the practical device from the signals that are generated by the measuring device. Further, the control unit is configured to control various operating parameters in the practical device based on the information obtained from the instability detection unit.

Abstract: A computer-implemented method for visualizing patterns during internet browsing includes loading a web page in response to a user opening a browser. The web page includes web content. The computer-implemented method also includes initializing a marker corresponding to the web page, the marker implying beginning of a web session. Further, the computer-implemented method includes creating a visual pattern during the web session. The visual pattern includes the marker. Furthermore, the computer-implemented method includes terminating the marker implying end of the web session. Moreover, the computer-implemented method includes analyzing the visual pattern to infer a corresponding significance factor. The computer-implemented method includes performing appropriate actions on the web content based on the significance factor.

Abstract: The invention includes a method for predicting the operational state of equipment with turbulent flow characterized by time series data relating to its operation. The invention further includes a system and method for predicting the onset of an impending oscillatory instability. Further, the invention includes a system and method for identifying an impending absorbing transition such as flame blowout in combustion systems. A variable representing the dynamics of operation is measured with the help of a sensor, to obtain time series data. A complex network is then derived from the measured time series data. Network properties are then calculated using the complex network to identify the state of stability relating to operation of the equipment. The stability information may include one of thermoacoustic instability, aero-elastic instability such as flutter, flow-induced vibration, magneto-hydrodynamic, aerodynamic, aeromechanical, aero-acoustic instability or onset of flame blowout of a combustor.

Abstract: A method for detecting onset of oscillatory instability in a device is described. The method includes obtaining a symbolic time series of a time series signal corresponding to a dynamic state variable of the device. The method further includes detecting the onset of oscillatory instability in the device based on the symbolic time series.

Abstract: A method and system for determining one or more precursors to control blowout in a combustor is provided. The method includes obtaining a time series signal corresponding to a dynamic state variable of the combustor. The method includes detecting one or more precursor based on an analysis of the time series signal using one or more parameters to control blowout in the combustor. One or more parameters include a Hurst exponent estimation, a Burst count estimation, and a recurrence quantification based estimation.

Abstract: A method and apparatus for scroll pattern recognition is provided. First content is provided to an application with a scrolling interface and a display window. The application is configured to display a portion of the first content to a user based on a current display position, where the scrolling interface is configured to change the current display position based on input from the user. User interaction data that includes scroll data is obtained. The occurrence of an actionable event based on the user interaction data is determined. Second content is provided to the application based on the actionable event.

Abstract: A system for early detection of onset of oscillatory instabilities in practical devices is described. The system consists of a measuring device, an instability detection unit and a control unit. The measuring device is configured to generate signals corresponding to the dynamics happening inside the practical device. The instability detection unit is configured to diagnose the stability of the practical device from the signals that are generated by the measuring device. Further, the control unit is configured to control various operating parameters in the practical device based on the information obtained from the instability detection unit.

Abstract: A method and apparatus for scroll pattern recognition is provided. First content is provided to an application with a scrolling interface and a display window. The application is configured to display a portion of the first content to a user based on a current display position, where the scrolling interface is configured to change the current display position based on input from the user. User interaction data that includes scroll data is obtained. The occurrence of an actionable event based on the user interaction data is determined. Second content is provided to the application based on the actionable event.

Abstract: A computer-implemented method for visualizing patterns during internet browsing includes loading a web page in response to a user opening a browser. The web page includes web content. The computer-implemented method also includes initializing a marker corresponding to the web page, the marker implying beginning of a web session. Further, the computer-implemented method includes creating a visual pattern during the web session. The visual pattern includes the marker. Furthermore, the computer-implemented method includes terminating the marker implying end of the web session. Moreover, the computer-implemented method includes analyzing the visual pattern to infer a corresponding significance factor. The computer-implemented method includes performing appropriate actions on the web content based on the significance factor.