Nonlinear dynamical processes are ubiquitous in natural and engineering systems. Significant difficulties arise when such processes are coupled with the complex network topology, especially in terms ...

Lotka-Volterra (LV) systems are quadratic dynamical systems of a special type. They arise in population biology, in chemical kinetics, and in multimode coupling. Well-known cases include ABC and ...

High-fidelity simulations of dynamic embedded systems can be invaluable. This follow-up to “Modeling Dynamic Systems” (August 2000) presents some techniques and algorithms you might find useful. In a ...

Example-oriented survey of nonlinear dynamical systems, including chaos. Combines numerical exploration of differential equations describing physical problems with analytic methods and geometric ...

In 1885, King Oscar II of Sweden announced a public challenge consisting of four mathematical problems. The French polymath Henri Poincaré focused on one related to the motion of celestial bodies, the ...