Dynamical Systems and Stability
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Dynamical Systems and Stability
Top Dynamical Systems and Stability resources
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39 cardsNon Linear Dynamic Systems Taylor Expansion Linearized System
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26 cardsDynamical systems Flashcards Give a real-world example of a dynamical system with a transcritical bifurcation.
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24 questionsDynamical systems questions Classify the fixed point of the two-dimensional dynamical system:
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68 nodesDE 4 Previously, the phase... · Coupled 2x2 Linear Sy... · Homogeneous linear 2x... · Phase Portraits and C... · Functions of Two vari...
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23 cardsB5.6
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8 cardsODEs Flash Cards What is the Lipschitz Condition?
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10 questionsPoincaré Diagram
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10 cardsevaluating locally linear systems (stability, type, phase portrait) We want to solve x' = Ax. If detA =/= 0, then the origin is the only critical point. The following are diff...
Quizzes
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Flashcards
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39 cardsNon Linear Dynamic Systems Taylor Expansion Linearized System
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26 cardsDynamical systems Flashcards Give a real-world example of a dynamical system with a transcritical bifurcation.
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23 cardsB5.6
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8 cardsODEs Flash Cards What is the Lipschitz Condition?
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10 cardsevaluating locally linear systems (stability, type, phase portrait) We want to solve x' = Ax. If detA =/= 0, then the origin is the only critical point. The following are diff...
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11 cardsUntitled Forward orbit of a point x under f
Notes
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Qualitative Properties of Solutions of Autonomous ODEs An autonomous ODE is simply an ODE in which the independent variable does not appear explicitly ie the "t" only appears on the d/dt side. dy/dt = f(y)The value y(t) can be represented as a point on the real number lin...
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Linearisation Linearisation is the process of trying to linearise a nonlinear function. This is so that we can understand what is happening at equilibrium points. First, find equilibrium points where f(Y) = 0.Next, differentiate th...