Visualizing Complicated Dynamics
نویسندگان
چکیده
The temporal evolution of real world systems can mathematically be described by dynamical systems. Global, topological information on their long term behavior is given by corresponding invariant sets, which typically have a very complex structure. We describe a new, set oriented and hierarchical approach for the visualization of invariant sets and accompanying probability measures, which give statistical information on the dynamical system.
منابع مشابه
Visualizing the Clusters and Dynamics of HPV Research Area
Purpose: The purpose of the present study is to visualize HPV clusters’ relationships and thematic trends in the world. Methodology: The research type is an applied one with analytical approach and it has been done using co-word analysis. The population of this study consists of articles’ keywords indexed during 2014-2018 in the Web of Science (WoS) in HPV subject area. The total numbers of th...
متن کاملComputational biological fluid dynamics: digitizing and visualizing animal swimming and flying.
Characterized by complex geometry and complicated dynamic process, biological fluid dynamics in swimming and flying is usually of large scale vortex flows with four-dimensional nature, namely, spatial three-dimensional and one-dimensional in time. Conventional theories for understanding power and energetics in swimming and flying rely exclusively on the consistent potential flow formulation in ...
متن کاملTopological Methods for Visualizing Vortical Flows
The paper describes the application of topological methods to the visualization of vortical flow patterns that arise in simulations from Computational Fluid Dynamics. Two techniques are presented: the first is concerned with the exploration of complicated, instantaneous flow structures while the second one permits the visualization of their temporal evolution in large-scale transient simulation...
متن کاملVisualizing the transition to chaos in the Lorenz system
The Lorenz system still fascinates many people because of the simplicity of the equations that generate such complicated dynamics on the famous butterfly attractor. This paper addresses the role of the global stable and unstable manifolds in organising the dynamics. More precisely, for the standard system parameters, the origin has a two-dimensional stable manifold and the other two equilibria ...
متن کاملReliability analysis of repairable systems using system dynamics modeling and simulation
Repairable standby system’s study and analysis is an important topic in reliability. Analytical techniques become very complicated and unrealistic especially for modern complex systems. There have been attempts in the literature to evolve more realistic techniques using simulation approach for reliability analysis of systems. This paper proposes a hybrid approach called as Markov system ...
متن کامل