We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...
Uncertainty propagation in nonlinear dynamical systems is a field of study that explores how measurement inaccuracies, initial condition errors, and model approximations evolve within inherently ...
1 Civil, Environmental and Architectural Engineering, University of Colorado Boulder, Boulder, CO, USA, 2 Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado ...
Cell mapping methods have emerged as a robust framework for the global analysis of nonlinear dynamical systems. By discretising the continuous state space into a finite number of cells, researchers ...
Example-oriented survey of nonlinear dynamical systems, including chaos. Combines numerical exploration of differential equations describing physical problems with analytic methods and geometric ...
Many frequently observed real-world phenomena are nonlinear in nature. This means that their output does not change in a manner that is proportional to their input. These models have a degree of ...