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

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

(f(x)) )) (f applied n times). What do 'orbits' of f look like - an orbit has the form x ... The following may prove useful, R Devaney, A First Course in Chaotic Dynamical Systems; R Devaney, An ...

Students will simulate time-series from a variety of deterministic and stochastic systems and evaluate a range of methods. A goal of the course is to understand the suitability of different methods ...

Weekly/ biweekly homework assignments are posted on the website. To turn in homeworks : use the Math 467 homework box. Math homework boxes are located across the Applied Calculus Workshop, located at ...

In the courses offered here, AI methods in the analysis of complex dynamical systems are conveyed in a comprehensible manner and applied to concrete modeling problems. Examples include the ML-based ...

The authors uncover slow, facilitating inhibitory connections between serotonin neurons in the dorsal raphe, refuting autoinhibition theories. This recurrence drives winner-take-all effects and ...

Departmental research interests include: mathematical biology, applied dynamical systems, combinatorics, matrix and operator theory, geometry, optics, inverse problems, probability, numerical analysis ...

U.S. Navy Lt. Michael “Tom” Piscopo, an NPS student pursuing a dual master’s degree in mechanical engineering and applied ...