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#Hamiltonian Dynamics

Showing: 22 courses
NPTEL

Topics in Nonlinear Dynamics

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Explore nonlinear dynamics through critical points, Hamiltonian systems, bifurcations, limit cycles, discrete-time dynamics, and stochastic processes. Gain insights into complex system behaviors and analysis techniques.
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29 Lesons
1 day 5 hours
On-Demand
Free-Video
NPTEL

Topics in Nonlinear Dynamics

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This is a basic course in classical mechanics at the senior undergraduate/ master's level. It covers the standard topics in this subject, including the Lagrangian and Hamiltonian formalisms. It also places the subject in the broader context of classical…
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29 Lesons
1 day 5 hours
On-Demand
Free-Video
University of Chicago Department of Mathematics

Poisson Algebra, Combinatorics and Representations of Surface Groups

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Dive into Poisson algebras, combinatorics, and surface group representations. Explore Goldman's Lie algebra construction and its applications to character varieties and Anosov representations.
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1 Lesons
54 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Algebraic Structure of Area-Preserving Homeomorphism Groups - Lecture 4

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Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Delve into link spectral invariants and Lagrangian Floer homology.
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1 Lesons
58 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Stability of Periodic Orbits - Floquet Theory - Stable and Unstable Invariant Manifolds

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Explore stability of periodic orbits using Floquet theory. Learn about monodromy matrices, Floquet multipliers, and invariant manifolds in Hamiltonian systems. Understand the foundations of chaos in dynamical systems.
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9 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Hamiltonian Systems Introduction - Why Study Them?

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Explore Hamiltonian systems and their advantages in mechanics. Learn about generalized momentum, canonical equations, and the transformation from Lagrangian to Hamiltonian formalism.
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7 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Institute for Advanced Study

Geometry and Topology of Hamiltonian Floer Complexes in Low-Dimension - Dustin Connery-Grigg

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Explore Hamiltonian Floer complexes on surfaces, connecting dynamics to Floer chain structure. Discover a new symplectic norm and geometric interpretations of chain complexes using transverse foliations.
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13 Lesons
31 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Asymmetry in Dynamics

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Explore symmetries in dynamical systems and progress on Smale's conjecture about generic smooth systems having only trivial symmetries. Delve into complex analytic, Hamiltonian, and smooth dynamics.
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10 Lesons
45 minutes
On-Demand
Free-Video
IMSA

Gromov-Hausdorff Convergence of Filtered A Infinity Categories

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Explore Floer homology's dependence on Hamiltonian isotopy, its multiplicative structure, and connections to homological Mirror symmetry in formal deformation theory.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

A New Interpretation of Laser Instabilities

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Explore a novel mathematical approach to laser instabilities, uncovering their nearly Hamiltonian nature and the challenges in adiabatic elimination of atomic polarization.
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1 Lesons
39 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

On Fillings of Contact Links of Isolated Quotient Singularities - Workshop on Conservative Dynamics and Symplectic Geometry

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Explore fillings of contact links in isolated quotient singularities. Delve into strong and exact fillings, tight criteria, terminal singularities, and orbifold symplectic cohomology in this advanced mathematics lecture.
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11 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quantitative Refinements of Conjectures in 3D Reeb Dynamics - Workshop on Conservative Dynamics and Symplectic Geometry

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Explore quantitative refinements of conjectures in 3D Reeb dynamics and related results. Delve into symplectic topology, Hamiltonian dynamics, and contact geometry with expert Umberto Hryniewicz.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Morse Type Theories with Differential Graded Coefficients - Workshop on Conservative Dynamics and Symplectic Geometry

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Explore Morse type theories with differential graded coefficients in this advanced mathematics lecture. Gain insights into Conservative Dynamics and Symplectic Geometry from expert Mihai Damian.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Introduction to Modelling Gravitational Waves from Compact Binaries

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Explore gravitational wave modeling techniques for compact binary systems, covering inspiral, merger, and ringdown phases. Learn about semi-analytic models crucial for detection and analysis.
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13 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Fields Institute

Hamiltonian Geometry and Dynamics Behind Compressible Fluids

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Explore Hamiltonian geometry and dynamics in relation to compressible fluids, delving into mathematical concepts and physical applications in fluid mechanics.
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1 Lesons
55 minutes
On-Demand
Free-Video
Inside Livermore Lab

A Physics-Based Reduced Order Model Capturing the Topology of Dynamical Manifolds

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Explore a transformational approach to dynamics using the Heisenberg Scattering Transformation, applied to create fast surrogate models for 2D pulsed power liner implosions in MagLIF.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Simons Institute

A Theory of Trotter Error

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Explores advanced theory of Trotter error in quantum simulation, providing tighter error bounds and improved algorithms for various quantum systems and observables.
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15 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

Using Chaos to Characterize a Programmable Analog Quantum Simulator

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Explore chaos in analog quantum simulators, uncovering random behavior, estimating fidelity, and learning noise models for large-scale entangled states using Rydberg atom arrays.
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1 Lesons
38 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Symmetry and Asymmetry in Dynamics

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Explore symmetry and asymmetry in dynamics, examining dynamical symmetry groups, Hamiltonian dynamics, and rigidity theorems. Gain insights into mathematical concepts and their applications.
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14 Lesons
55 minutes
On-Demand
Free-Video
Institute for Advanced Study

Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure

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Explore advanced concepts in locally conformally symplectic geometry, examining Lagrangian topology, Hamiltonian dynamics, and connections to contact geometry through theoretical frameworks and practical examples.
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1 Lesons
27 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

The Entropic Dynamics Approach to Quantum Mechanics

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Explore the Entropic Dynamics framework for reconstructing Quantum Mechanics, focusing on ontic and epistemic variables, probability distributions, and the derivation of key quantum principles.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Maximally Entangled Mixed States: Do They Exist?

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Explore the existence of maximally entangled mixed states in quantum information theory, examining their potential and implications for practical applications.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video