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CDR - Topic of Choice 'Bifurcations' ~ MATLAB script 'bifurcations'
CDS - All Exercises
CDS - Bifurcation • Structural Stability • Bifurcation Value • Bifurcation Diagram
CDS - Characteristics of Chaotic Systems
CDS - Classification of Steady States in Continuos Systems
CDS - Classification of the Steady States of a 2D Linear System • The Plane Delta-Tau
CDS - Collective Behaviour
CDS - Complex Systems
CDS - Contents and Program
CDS - Definition of 'Complex Dynamic System'
CDS - Definition of ODE • Definition of a Solution • Definition of Flow • Dynamics • Definition of Phase Plane or Phase Space
CDS - Dicrete Time Systems
CDS - Eigenvalues and Eigenvectors
CDS - Evolution and Adaptation
CDS - Example of a Phase Space • Pendulum Example
CDS - Examples for a Bifurcation Diagram
CDS - Examples for Eigenvalues and Eigenvectors in 2D
CDS - Examples for Eigenvalues and Eigenvectors in 3D
CDS - Examples of Nullclines
CDS - Examples of Phase Space drawn from Eigenvalues and Eigenvectors • Nodes • Degenerate Node • Spirals • Circles
CDS - Examples of Phase Space drawn from Eigenvalues and Eigenvectors • Saddle • Marginally Stable Steady State
CDS - Exercises with 'BifurcationDiagram'
CDS - Exercises with 'Bifurcations'
CDS - Exercises with 'ChaoticDynamic'
CDS - Exercises with 'ChaoticSystem'
CDS - Exercises with 'CouplingTerm'
CDS - Exercises with 'DescribeTheDynamics'
CDS - Exercises with 'DescribeTheSystem'
CDS - Exercises with 'DiscreteMap'
CDS - Exercises with 'DiscreteSystemWithParameters'
CDS - Exercises with 'DynamicalSystemWithParameters'
CDS - Exercises with 'EvaluateTheStability'
CDS - Exercises with 'FlipBifurcation'
CDS - Exercises with 'HartmanGrobmanTheorem'
CDS - Exercises with 'JacobianMatrix'
CDS - Exercises with 'Oscillations'
CDS - Exercises with 'PhaseSpace'
CDS - Exercises with 'PitchforkBifurcation'
CDS - Exercises with 'PossibleSituationsOfANonLinearDynamicalSystem'
CDS - Exercises with 'Saddle'
CDS - Exercises with 'SaddleNode'
CDS - Exercises with 'Simulation'
CDS - Exercises with 'SmallestDimensionRequiredToExibitOscillations'
CDS - Exercises with 'StableLimitCycles'
CDS - Exercises with 'StableSpiral'
CDS - Exercises with 'SteadyStates'
CDS - Exercises with 'SummarizeTheResultsInASingleSentence'
CDS - Exercises with 'WhyIsASteadyStateAsymptoticallyStable'
CDS - Fractals • Cantor Set • Koch Set • Mandelbrot Set • Topological Dimension • Self-Similar Dimension
CDS - General Solutions to the Exercises
CDS - Hopf Bifurcation
CDS - Hopf Bifurcation General Formula
CDS - Hyperbolic Steady States • Hartman-Grobman Theorem
CDS - Introduction to Deterministic Chaos • The Rossler System • Period Doubling • Stretching and Folding Mechanism
CDS - Lecture 1
CDS - Lecture 2 - Slides (OLD)
CDS - Lecture 3 - Slides (OLD)
CDS - Lecture 4
CDS - Lecture 5
CDS - Lecture 6
CDS - Lecture 7
CDS - Lecture 7 ~ Matlab Script 'Example script 1'
CDS - Lecture 7 ~ Matlab Script 'Example script 2'
CDS - Lecture 8
CDS - Lecture 9
CDS - Lecture 9 ~ Matlab Script 'flow1D_ode'
CDS - Lecture 9 ~ Matlab Script 'flow1D'
CDS - Lecture 9 ~ Matlab Script 'flow2D_ode_linear'
CDS - Lecture 9 ~ Matlab Script 'flow2D_ode'
CDS - Lecture 10
CDS - Lecture 11
CDS - Lecture 12
CDS - Lecture 13
CDS - Lecture 14
CDS - Lecture 14 ~ Matlab Script 'sensitivity'
CDS - Lecture 14 ~ Matlab Script 'sol_3D'
CDS - Lecture 14 ~ Matlab Script 'stability_3D'
CDS - Lecture 15
CDS - Lecture 18
CDS - Lecture 19
CDS - Lecture 20
CDS - Lecture 20 ~ Matlab Script 'mandelbrot'
CDS - Lecture 21
CDS - Lecture 22
CDS - Linear 2D System • Example of Vector Fields
CDS - Linearization
CDS - Logistic Equation • Stability Analysis for Discrete Time Systems
CDS - Master Seminar 'Minecraft Wave Machines'
CDS - Memory Cards
CDS - Networks
CDS - Non-Linear 2D System • Example of Vector Fields • Definition of Coupled System
CDS - Non-Linear Dynamics
CDS - Non-Linear Systems • Limit Cycles • omega-limit set • Poincaré-Bendixon Theorem
CDS - Nullclines
CDS - Pattern Formation
CDS - Pitchfork Bifurcation
CDS - Qualitative vs Quantitative Analysis
CDS - Recap of Linear Systems
CDS - Saddle-Node Bifurcation
CDS - Self-Organization
CDS - SIR Model for Epidemic Deseases
CDS - SIR Model on Graphs
CDS - Stable and Unstable Manifolds • Characterization of Homeomorphic and Non-homeomorphic Steady States
CDS - Steady States • Classification of Steady States • Stable • Unstable • Marginally Stable • Attracting • Lyapunov Stable • Asympotically Stable
CDS - Subcritical Hopf Bifurcation
CDS - Subcritical Pitchfork Bifurcation
CDS - Supercritical Hopf Bifurcation
CDS - Supercritical Pitchfork Bifurcation
CDS - Supercritical Pitchfork Bifurcation vs Subcritical Pitchfork Bifurcation
CDS - Syncronization
CDS - Syncronization for Dynamical Systems on Graphs • Attributes of Graphs and Networks
CDS - System Theory
CDS - The Lorenz System • Deterministic Chaos • Deterministic System • Sensitivity to Initial Conditions • Butterfly Effect • Lorenz Attractor • Strange Attractors
CDS - Theorem 'Existence of Solutions'
CDS - Theory Behind Eigenvalues and Eigenvectors
CDS - Topic of Choice 'Bifurcations'
CDS - Transcritical Bifurcation
CDS - Vector Field
CDS - Why it is important studying complex systems
CDS exam 2014_12_16 - with solutions
CDS exam 2015 02 10
CDS exam 2015 06 16
CDS exam 2015 09 17
CDS exam 2015 12 21 - with solutions
CDS exam 2015_01_20
CDS exam 2016 01 19 - with solutions
CDS exam 2016 02 19
CDS exam 2016 04 29
CDS exam 2016 09 19
CDS exam 2016 11 24
CDS exam 2017 01 24
CDS exam 2017 02 14
CDS exam 2017 06 22
CDS exam 2017 09 20
CDS exam 2017 09 28
CDS exam 2018 01 23
CDS exam 2018 04 17
CDS exam 2018 06 29 - with solutions
CDS exam 2018 10 13
CDS exam 2019 04 10
CDS exam 2019 09 19
CDS exam 2021 01 19 - with solutions
DES - Definition of 'Dynamical System'
DES - Definition of 'State of a System'
DES - Definition of 'Static System'
Template (Unused)
BI - Concept Template
Code Reference
Corso Magistrale - Index
Definition of 'Somenthing'
dice-roll
DnD - Enemy Sheet
dnd-spell-template
Formula and Diagram
Index
Insert TABLE
MathMode - explenation of formula
MathMode - system of equations
Sublime Text ~ Ex. view.METHOD_NAME
Youtube - Name of Video
Δttention
CDS - Master Seminar 'Minecraft Wave Machines' (OLD)
Useful ASCII Symbols & Lines
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CDS - Exercises with 'SaddleNode'
CDS - Exercises with 'SaddleNode'
Oct 01, 2024
1 min read
CDS exam 2016 09 19
CDS exam 2017 06 22
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