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 ...

Keywords: Nonlinear analysis. Structural response. Hazardous loads. Displacement method. State space approach. Lagrangian approach. Differential algebraic equations ...

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

Covers dynamical systems defined by mappings and differential equations. Hamiltonian mechanics, action-angle variables, results from KAM and bifurcation theory, phase plane analysis, Melnikov theory, ...

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 ...

Nonlinear filtering is investigated in a system where both the signal system and the observation system are under non-Gaussian Lévy fluctuations. Firstly, the Zakai equation is derived, and it is ...

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 ...

The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated ...