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 ...

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 ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

This is a preview. Log in through your library . Abstract Biological structure and function depend on complex regulatory interactions between many genes. A wealth of gene expression data is available ...

Mathematical models about how mass moves in natural systems are used in various scientific fields such as to understand the global carbon and water cycles, or predicting the spread of contaminants or ...

Methods for analyzing nonlinear problems in science and engineering. Constructive approach to bifurcation theory and stability theory, dynamical response of nonlinear systems, nonlinear oscillations ...

In many areas of science the only method to study a complex system entails making indirect time-resolved measurements of the state of the system. In the absence of a detailed mathematical model that ...

Many of the world's most important systems, such as the atmosphere, turbulent fluids, and even the motion of planets, behave ...