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Week
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Topics
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Study Metarials
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1
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Review of ODEs and Dynamical Systems
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R2 - Chapter 1.1
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2
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An overview of XPPAUT
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R2 - Chapter 1.2
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3
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An overview of MATLAB/Octave
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R2 - Chapter 1.3
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4
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One dimensional flows, Fixed points, Stability
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R1 - Chapter 2
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5
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Linear stability analysis, Existence and uniqueness
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R1 - Chapter 2
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6
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Introduction to numerical methods
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R1 - Chapter 2
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7
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Introduction to bifurcation theory, Saddle-node bifurcation, Transcritical bifurcation
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R1 - Chapter 3
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8
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Pitchfork bifurcation, Cusp catastrophe
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R1 - Chapter 3
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9
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Flows on circle
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R1 - Chapter 4
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10
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Two dimensional flows, Classification of linear systems
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R1 - Chapter 5
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11
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Phase plane analysis
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R1 - Chapter 6
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12
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Limit cycles
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R1 - Chapter 7
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13
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Bifurcations in 2D systems, Hopf bifurcation
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R1 - Chapter 8
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14
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Quasi-periodicity, Poincare maps
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R1 - Chapter 8
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