4. Discrete One-Dimensional Dynamical Systems скачать в хорошем качестве

4. Discrete One-Dimensional Dynamical Systems

In this video, we explore discrete one-dimensional dynamical systems and how simple iterative rules can lead to complex and chaotic behavior. Starting from basic iteration and fixed points, we move through stability analysis, periodic orbits, and cobweb diagrams before diving into the famous logistic map and its route to chaos. You will learn how period-doubling leads to unpredictability, why chaos follows universal patterns, and how symbolic dynamics helps us understand seemingly random motion. With clear explanations and Python demonstrations, this lesson builds an intuitive bridge from simple models to modern chaos theory, making it perfect for students, educators, and anyone interested in nonlinear systems and mathematical modeling. #EJDansu #Mathematics #Maths #MathswithEJD #Goodbye2024 #Welcome2025 #ViralVideos #Trending #ChaosTheory #NonlinearDynamics #DynamicalSystems #LogisticMap #MathematicsEducation #AppliedMath #ComplexSystems #STEMLearning #PythonProgramming #ScientificComputing #MathTutorial #PhysicsMath #DataScienceBasics #Fractals #IterativeMaps #Bifurcation #ComputationalMath #MathVisualization #STEMContent #LearningWithPython -Feel very free to follow me on all channels: https://linktr.ee/ejdansu -Tech-relevant playlists: Basic Calculus    • Basic Calculus   Data Analysis with Python    • Data Analysis with Python   Game Theory    • Game Theory   Graph & Network Theory    • Graph & Network Theory   Linear Programming    • Linear Programming   Matrices    • Matrices   Numerical Analysis    • Numerical Analysis   Numerical Optimisation Techniques    • Numerical Optimisation Techniques   Probability    • Probability   Scientific Computing with Python    • Scientific Computing with Python   Set Theory    • Set Theory   SQL with Python    • SQL with Python   Statistics    • Statistics   Vectors    • Vectors