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Explore analytical dynamics with Ross Dynamics Lab, focusing on tetherball dynamics, angular momentum, and central forces. Learn from a NASA-experienced professor in 1-2 hours.
Explore planar kinematics and dynamics of a particle with Dr. Shane Ross from Virginia Tech. Learn about motion in 2 degrees of freedom, polar coordinates, and transport equations in 1-2 hours.
Learn to simplify nonlinear terms and understand topological equivalence in dynamical systems with Dr. Shane Ross from Virginia Tech. Duration: 1-2 hours.
Explore center manifolds, bifurcations, and Hamiltonian systems with Dr. Shane Ross from Virginia Tech. Learn about Lorenz system analysis, PDEs, and pitchfork bifurcation in a 1-2 hour study.
Explore center manifold theory for continuous dynamical systems with Ross Dynamics Lab. Learn Taylor series approximation, vector field dynamics, and practical examples.
Explore hyperbolic and non-hyperbolic fixed points, their invariant manifolds, and center manifold theory in this 1-2 hour material from Ross Dynamics Lab.
Dive into Hamiltonian and nonlinear dynamics with Ross Dynamics Lab. Understand periodic orbits, invariant manifolds, and Floquet theory in a 1-2 hour study session.
Explore Hamiltonian and nonlinear dynamics with Ross Dynamics Lab. Learn about periodic systems, parametric resonance, and the Mathieu equation in a 1-2 hour study.
Explore Hamiltonian normal forms, Lie series method for transformations, and infinite-dimensional Hamiltonians with Ross Dynamics Lab. Expect 1-2 hours of advanced dynamics content.
Explore Hamiltonian and nonlinear dynamics, including Poisson brackets and Euler's rigid body equations, in this 1-2 hour material from Ross Dynamics Lab.
Explore Hamiltonian and nonlinear dynamics, including integrable systems, KAM tori, and Poisson brackets in this 1-2 hour material from Ross Dynamics Lab.
Learn to analyze and predict geophysical transport structures with a focus on aeroecology in this short program by Ross Dynamics Lab. Understand the impact on fluid-borne microbial ecology.
Explore particle transport in fluid flows with Ross Dynamics Lab. Learn about Lagrangian coherent structures, their mathematical underpinnings, and applications in fluid mechanics. Less than 1-hour workload.
Dive into space vehicle dynamics with Ross Dynamics Lab. Learn about gravity gradient, Euler rigid body equations, stability conditions, and application to the International Space Station in under an hour.
Explore the dynamics of dual-spin spacecraft with Ross Dynamics Lab. Understand the instability of intermediate and minimum principal axes for free rigid bodies in less than an hour.
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