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 ...

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

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 ...

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, ...

SIAM Journal on Applied Mathematics, Vol. 68, No. 4 (2008), pp. 1045-1079 (35 pages) In this paper we define a class of formal neuron models being computationally efficient and biologically plausible, ...

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

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 ...

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

I’ll provide an overview of some of the recent work my lab has been doing in the domain of computational cognitive neuroscience. We do large-scale numerical simulations of multiple brain areas, ...