Differential Equations and Dynamical Systems (3/4)

https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA

https://faculty.washington.edu/sbrunton/me564/

https://github.com/dynamicslab/databook_python

 

Steve Brunton 교수님. 그림을 엄청 잘 그리신다.

10년을 강의하셨다는데, 예술의 경지에 이르셨구나.

 

와이프께서 Phase Portrait으로 T-shirt를 만들어주셨다고 한다. ㅎㅎ

교수님께 정말 잘 어울리는 짝꿍을 만나셨군요! ^^

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What is a "Linear" Differential Equation?

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★ Linearizing Nonlinear Differential Equations Near a Fixed Point ★

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 A Particle in a Potential Well: Nonlinear Dynamics

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Drawing Phase Portraits for Nonlinear Systems

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Phase Portrait for Double Well Potential

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The Hartman-Grobman Theorem, Structural Stability of Linearization, and Stable/Unstable Manifolds

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Non-Normal Linear Systems and Transient Energy Growth: Bypass Transition to Turbulence

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Repeated Eigenvalues and Secular Terms: Transient Growth in Non-Normal Systems

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★ Systems of Differential Equations: Diagonalization and Jordan Canonical Form ★

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Differential Equations with Forcing: Method of Undetermined Coefficients

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Differential Equations with Forcing: Method of Variation of Parameters

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Systems of Differential Equations with Forcing: Example in Control Theory

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★ Linear Systems of Differential Equations with Forcing: Convolution and Dirac Delta Function ★

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Forced Systems of Differential Equations

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