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Class number:
2754
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Title: Dynamical Systems |
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Department: Mathematics |
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Career: Undergraduate |
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Component: Lecture |
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Session: Regular |
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Instructor's Permission Required: No |
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Grading Basis: Graded |
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Units: 1.00 |
| Enrollment limited to 19 |
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Current enrollment: 17 |
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Available seats: 2 |
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Start date: Monday, January 22, 2024 |
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End date: Friday, May 10, 2024 |
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Mode of Instruction: In Person |
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Schedule: MWF: 11:00AM-11:50AM, MC - 225 |
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Instructor(s): Skardal, Per Sebastian |
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Prerequisite(s): Prerequisite: A grade of C- or better in MATH 234; or Permission of the Instructor |
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Distribution Requirement: Meets Numerical & Symbolic Reasoning Requirement |
Course Description:
An introduction to nonlinear dynamics and chaos theory, emphasizing qualitative methods for
both continuous and discrete dynamical systems. Topics will include fixed points and periodic
solutions, linearization and asymptotic behavior, existence and nonexistence theorems for
periodic orbits, and Floquet theory. Special emphasis will be placed on stability and bifurcation
analysis for parameterized families. The final part of the course will serve as an introduction to
chaos theory. Topics will include routes to chaos, strange attractors, self-similarity and fractal
dimensions, Lyapunov exponents, and renormalization. Modeling of real-world systems and
their applications will we stressed throughout the course. |