Caos Discreto
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Department of Mathematical Sciences Course Announcement Spring Semester 2009
MATE 6995 (topics) In the last 25 years, chaos has exploded over the landscape of mathematics and has been seen in many scientific disciplines. Hence is of vital importance to understand its structure. In this course we will integrate notion from difference equations and discrete dynamical systems. Lectures will be oriented on stability theory in one and two dimensions including periodicity and the famous method of Lyapunov, chaos theory, bifurcation theory and fractals with emphasize on real-world problems on ecology, epidemiology and other fields.
Instructor: Karen R. Rios-Soto, PhD ([email protected]) Book: Discrete Chaos(with Applications in Science and Engineering) by Saber N. Elaydi Reference Books: 1. An Introduction to Chaotic Dynamical Systems by R. Devaney 2. Nonlinear Dynamics and Chaos by S. Strogatz 3. Mathematical Models in Population Biology and Epidemiology by F. Brauer and C. Castillo-Chavez Prerequesites: The minimal prerequisites are calculus and and linear algebra.
MATE 6995 (topics) In the last 25 years, chaos has exploded over the landscape of mathematics and has been seen in many scientific disciplines. Hence is of vital importance to understand its structure. In this course we will integrate notion from difference equations and discrete dynamical systems. Lectures will be oriented on stability theory in one and two dimensions including periodicity and the famous method of Lyapunov, chaos theory, bifurcation theory and fractals with emphasize on real-world problems on ecology, epidemiology and other fields.
Instructor: Karen R. Rios-Soto, PhD ([email protected]) Book: Discrete Chaos(with Applications in Science and Engineering) by Saber N. Elaydi Reference Books: 1. An Introduction to Chaotic Dynamical Systems by R. Devaney 2. Nonlinear Dynamics and Chaos by S. Strogatz 3. Mathematical Models in Population Biology and Epidemiology by F. Brauer and C. Castillo-Chavez Prerequesites: The minimal prerequisites are calculus and and linear algebra.
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