Topologies of invariant manifolds and optimal trajectories are investigated in stochastic continuous systems and maps. A topological method is introduced that simplifies the solution of boundary value problems: The activation energy is calculated as a function of a set of parameters characterizing the initial conditions of the escape path. The method is applied explicitly to compute the optimal escape path and the activation energy for a variety of dynamical systems and maps.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.72.036131 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
DeepExtremeCubes: Earth system spatio-temporal data for assessing compound heatwave and drought impacts.
Sci Data
January 2025
Remote Sensing Centre for Earth System Research (RSC4Earth), Leipzig University, Leipzig, 04103, Germany.
With climate extremes' rising frequency and intensity, robust analytical tools are crucial to predict their impacts on terrestrial ecosystems. Machine learning techniques show promise but require well-structured, high-quality, and curated analysis-ready datasets. Earth observation datasets comprehensively monitor ecosystem dynamics and responses to climatic extremes, yet the data complexity can challenge the effectiveness of machine learning models.
View Article and Find Full Text PDFAn Iterative Design Method for Advancing Air Traffic Control and Management Training Through Immersive VFR 3D Map Visualization.
IISE Trans Occup Ergon Hum Factors
January 2025
The Bradley Department of Electrical and Computer Engineering, College of Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA.
OCCUPATIONAL APPLICATIONSInnovative tools that align with modern learners' preferences are essential for training in safety-critical professions like Air Traffic Control/Management. This study evaluated a Virtual Reality Visual Flight Rules 3D Map Visualization Tool designed to meet the Federal Aviation Administration's (FAA) modernization goals. The tool immerses trainee in contextually accurate environments, enhancing engagement and self-paced learning.
View Article and Find Full Text PDFParallelized SLAM: Enhancing Mapping and Localization Through Concurrent Processing.
Sensors (Basel)
January 2025
Departamento de Informática y Análisis Numérico, Edificio Einstein, Campus de Rabanales, Universidad de Córdoba, 14071 Córdoba, Spain.
Simultaneous Localization and Mapping (SLAM) systems face high computational demands, hindering their real-time implementation on low-end computers. An approach to addressing this challenge involves offline processing, i.e.
View Article and Find Full Text PDFSpatial Characterization of Woody Species Diversity in Tropical Savannas Using GEDI and Optical Data.
Sensors (Basel)
January 2025
Forest Biometrics and Remote Sensing Laboratory (Silva Lab), School of Forest, Fisheries, and Geomatics Sciences, University of Florida, P.O. Box 110410, Gainesville, FL 32611, USA.
Developing the capacity to monitor species diversity worldwide is of great importance in halting biodiversity loss. To this end, remote sensing plays a unique role. In this study, we evaluate the potential of Global Ecosystem Dynamics Investigation (GEDI) data, combined with conventional satellite optical imagery and climate reanalysis data, to predict in situ alpha diversity (Species richness, Simpson index, and Shannon index) among tree species.
View Article and Find Full Text PDFDetection of Acromion Types in Shoulder Magnetic Resonance Image Examination with Developed Convolutional Neural Network and Textural-Based Content-Based Image Retrieval System.
J Clin Med
January 2025
Department of Computer Engineering, Malatya Turgut Ozal University, 44210 Malatya, Turkey.
The morphological type of the acromion may play a role in the etiopathogenesis of various pathologies, such as shoulder impingement syndrome and rotator cuff disorders. Therefore, it is important to determine the acromion's morphological types accurately and quickly. In this study, it was aimed to detect the acromion shape, which is one of the etiological causes of chronic shoulder disorders that may cause a decrease in work capacity and quality of life, on shoulder MR images by developing a new model for image retrieval in Content-Based Image Retrieval (CBIR) systems.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!