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    Quick Facts

    Medium Of InstructionsMode Of LearningMode Of Delivery
    EnglishSelf StudyVideo and Text Based

    Courses and Certificate Fees

    Certificate AvailabilityCertificate Providing Authority
    yesIIT Delhi

    The Syllabus

    • The beginning
    • Elementary Concepts
    • Elementary Concepts (cont.)

    • More on orbits
    • Periods of Periodic Points
    • Scrambled Sets

    • Sensitive Dependence on Initial Conditions
    • A Population Dynamics Model
    • Bifurcations

    • Nonlinear Systems
    • Horseshoe Attractor
    • Dynamics of the Horseshoe Attractor

    • Recurrence
    • Recurrence (Cont.)
    • Transitivity

    • Devaney's Chaos
    • Transitivity = Chaos on Intervals
    • Stronger forms of Transitivity

    • Chaotic Properties of Mixing Systems
    • Weakly Mixing & Chaos
    • Strongly Transitive Systems

    • Strongly Transitive Systems (cont.)
    • Introduction to Symbolic Dynamics
    • Shift Spaces

    • Subshifts of Finite Type
    • 26. Subshifts of Finite Type (cont.), Chatoic Dynamical Systems
    • Measuring Chaos - Topological Entropy

    • Topological Entropy - Adler's Version
    • Bowen's Definition of Topological Entropy
    • Equivalance of the two definitions of Topological Entropy

    • Linear Systems in Two Dimentions
    • Asymptotic Properties of Orbits of Linear Transformation in IR2
    • Hyperbolic Toral Automorphisms

    • Chaos in Toral Automorphisms
    • Chaotic Attractors of Henon Maps

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