Nonlinear dynamics investigates systems whose governing equations exhibit terms that are non-proportional or non-additive, giving rise to rich phenomena such as bifurcations, limit cycles, solitons ...

This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational ...

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A recent study, led by Sabre Kais, Distinguished Professor of Chemistry and professor of electrical and computer engineering at Purdue University, and IBM’s Barbara Jones, used a quantum computer to ...

Asymptotic expansions of integrals. Regular and singular perturbation methods for ordinary and partial differential equations. Boundary layer theory. Matched asymptotic expansions. Homogenization. Two ...

The Bernoulli shift map is a well-known chaotic map in chaos theory. For a binary system, however, the output is not chaotic and converges to zero instead. One way to prevent this is by perturbing the ...

Basic to the determination of precision spacecraft orbits is an appropriate first approximation by a sequence of two-body orbits. For example, the initial portion of the orbit for a free-return, flyby ...