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In this video, you will explore Hamiltonian systems and conservative dynamics through clear explanations, visual intuition, and practical examples. We cover the foundations of Hamiltonian mechanics, phase space geometry, integrable systems, KAM theory, and the emergence of chaos, while demonstrating how these ideas appear in real physical systems and computer simulations. Whether you are a physics student, mathematics learner, or curious about nonlinear dynamics, this lesson will help you build strong intuition and connect theory with computation using Python-based illustrations and real-world motivation. #EJDansu #Mathematics #Maths #MathswithEJD #Goodbye2024 #Welcome2025 #ViralVideos #Trending #HamiltonianSystems #ClassicalMechanics #NonlinearDynamics #PhysicsEducation #MathematicalPhysics #ChaosTheory #KAMTheory #PhaseSpace #DynamicalSystems #PhysicsStudents #STEMLearning #ComputationalPhysics #ScienceExplained #MathPhysics #EngineeringStudents #TheoreticalPhysics #LearningPhysics #PythonPhysics #UniversityPhysics #AdvancedPhysics -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