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  • 2006 Senior Video - Duration: 24 minutes.

    • 2 years ago
    • 139 views
    MAE 2006 Senior Video
  • Check out research being done by MAE's Professor Rob Shepherd's undergraduate students Jeanne Lee and Perry Zou.

    ShepherdLab03112016 - Duration: 4 minutes, 42 seconds.

    • 2 years ago
    • 152 views
    Research being done by MAE's Professor Rob Shepherd's undergraduate students Jeanne Lee and Perry Zou.
  • MAE Senior Video 2015 - Duration: 9 minutes, 2 seconds.

    • 2 years ago
    • 375 views
    MAE Senior Video 2015
  • MAE Commencement 2015 with student video.

    MAE Commencement 2015 - Duration: 1 hour, 29 minutes.

    • 2 years ago
    • 119 views
    MAE Commencement 2015 Sunday, May 24th with student video.
  • MAEnow - Engineering Graduate student Jordan Chipka discusses his research at Cornell.

    Jordan Chipka - MAE Graduate Student Research - Duration: 4 minutes, 1 second.

    • 2 years ago
    • 504 views
    MAEnow - Host, MAEcy interviews MAE's (Sibley School of Mechanical and Aerospace Engineering) Graduate student Jordan Chipka. Jordan discusses his research at Cornell.
  • Nice research Yuhao!

    YuhaoXuAvedisianGradStudent - Duration: 5 minutes, 38 seconds.

    • 3 years ago
    • 113 views
    MAEnow - Host, MAEcy interviews MAE's (Sibley School of Mechanical and Aerospace Engineering) Prof. Avedisian's grad student Yuhao Xu. Yuhao discusses his research at Cornell.
  • MAE Commencement 2015 Montage

    MAEmontage2015v2 - Duration: 4 minutes, 5 seconds.

    • 3 years ago
    • 163 views
    MAE Commencement 2015 Montage
  • Check out MAE's undergrad student Eric Ching's research.

    Eric Ching - Prof. Avedisian's Undergrad Student - Duration: 6 minutes, 3 seconds.

    • 3 years ago
    • 214 views
    MAEnow - Host, MAEcy interviews MAE's (Sibley School of Mechanical and Aerospace Engineering) Prof. Avedisian's undergrad student Eric Ching. Eric discusses his research at Cornell.
  • MAE Social Media

    MAE Social Media - Duration: 28 seconds.

    • 3 years ago
    • 103 views
    Social Media, Facebook, Twitter, LinkedIn, email
  • MAECommencement PhDhooding2014 - Duration: 18 minutes.

    • 4 years ago
    • 351 views
    Sibley School of Mechanical and Aerospace Engineering Professor Brian Kirby, Associate Director for Graduate Affairs, hooding of the PhD students at the 2014 MAE Commencement.
  • MAECommencement MSandMEng2014 - Duration: 8 minutes, 56 seconds.

    • 4 years ago
    • 106 views
    Sibley School of Mechanical and Aerospace Engineering Professor Brian Kirby, Associate Director for Graduate Affairs, announces Masters in Science degrees and Matt Ulinski, Master's of Engineering ...
  • MAECommencement PrizesAndAwards2014 - Duration: 9 minutes, 30 seconds.

    • 4 years ago
    • 151 views
    Sibley School of Mechanical and Aerospace Engineering Director Mark Campbell announces prizes and awards at the 2014 MAE Commencement.
  • MAECommencement SrClassRepresentative2014 - Duration: 7 minutes, 23 seconds.

    • 4 years ago
    • 118 views
    Sibley School of Mechanical and Aerospace Engineering Senior Class Representative's talk at the 2014 MAE Commencement.
  • MAECommencement tyGroupsAndStaff2014 - Duration: 3 minutes, 56 seconds.

    • 4 years ago
    • 85 views
    Sibley School of Mechanical and Aerospace Engineering Director Mark Campbell thanks staff and groups at the 2014 MAE Commencement.
  • MAECommencement Intro2014 - Duration: 9 minutes, 8 seconds.

    • 4 years ago
    • 162 views
    Sibley School of Mechanical and Aerospace Engineering Director Mark Campbell gives Intro to the 2014 MAE Commencement.
  • MAECommencement undergrad2014 - Duration: 26 minutes.

    • 4 years ago
    • 142 views
    Sibley School of Mechanical and Aerospace Engineering Professor Wolfgang Sachse, Associate Director of Undergraduate Affairs, announcement of undergraduate degrees at the 2014 MAE Commencement.
  • MAE5790-25 Using chaos to send secret messages - Duration: 1 hour, 5 minutes.

    • 4 years ago
    • 7,761 views
    Lou Pecora and Tom Carroll's work on synchronized chaos. Proof of synchronization by He and Vaidya, using a Liapunov function. Kevin Cuomo and Alan Oppenheim's approach to sending secret messages w...
  • MAE5790-4 Model of an insect outbreak - Duration: 1 hour, 15 minutes.

    • 4 years ago
    • 18,863 views
    Model of spruce budworm outbreaks in the forests of northeastern Canada and United States. Nondimensionalization. Saddle-node bifurcations. Jump phenomena. Hysteresis. Cusp catastrophe.

    Reading: ...
  • MAE5790-23 Fractals and the geometry of strange attractors - Duration: 1 hour, 4 minutes.

    • 4 years ago
    • 8,508 views
    Analogy to making pastry. The geometry underlying chaos: Stretching, folding, and reinjection of phase space. The same process generates the fractal microstructure of strange attractors. Rössler at...
  • MAE5790-5 Two dimensional linear systems - Duration: 1 hour, 15 minutes.

    • 4 years ago
    • 24,544 views
    Phase plane analysis. Eigenvectors and eigenvalues. Classification of 2-D linear systems. Saddle points. Stable and unstable nodes and spirals. Centers. Non-isolated fixed points.

    Reading: Stroga...
  • MAE5790-24 Hénon map - Duration: 51 minutes.

    • 4 years ago
    • 5,581 views
    The Hénon map: a two-dimensional map that sheds light on the fractal structure of strange attractors. Deriving the Hénon map. Analyzing the map. Simulations.

    Reading: Strogatz, "Nonlinear Dynamic...
  • MAE5790-8 Index theory and introduction to limit cycles - Duration: 1 hour, 13 minutes.

    • 4 years ago
    • 15,964 views
    Index of a curve (with respect to a given vector field). Properties of the index. Index of a point. Using index theory to rule out closed trajectories. Some strange things: Index theory in biology....
  • MAE5790-3 Overdamped bead on a rotating hoop - Duration: 1 hour, 13 minutes.

    • 4 years ago
    • 24,178 views
    Equations of motion. When can we neglect the second derivative? Dimensional analysis and scaling. A singular limit.

    Reading: Strogatz, "Nonlinear Dynamics and Chaos", Section 3.5.
  • MAE5790-1 Course introduction and overview - Duration: 1 hour, 16 minutes.

    • 4 years ago
    • 136,096 views
    Historical and logical overview of nonlinear dynamics. The structure of the course: work our way up from one to two to three-dimensional systems. Simple examples of linear vs. nonlinear systems. 1-...
  • MAE5790-11 Averaging theory for weakly nonlinear oscillators - Duration: 1 hour, 16 minutes.

    • 4 years ago
    • 10,473 views
    Derivation of averaged equations for slowly-varying amplitude and phase. Explicit solution of amplitude equation for weakly nonlinear van der Pol oscillator. Duffing equation.

    Reading: Strogatz, ...
  • MAE5790-12 Bifurcations in two dimensional systems - Duration: 46 minutes.

    • 4 years ago
    • 20,195 views
    Bifurcations of fixed points: saddle-node, transcritical, pitchfork. Hopf bifurcations. Other bifurcations of periodic orbits.

    Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.0--8.2.
  • MAE5790-22 Renormalization: Function space and a hands-on calculation - Duration: 1 hour, 8 minutes.

    • 4 years ago
    • 4,544 views
    The concept of an infinite-dimensional space of functions. Each point represents a function. Renormalization transformation T as a mapping. Sheets of functions with the same superstability type. Th...
  • MAE5790-21 Feigenbaum's renormalization analysis of period doubling - Duration: 1 hour, 15 minutes.

    • 4 years ago
    • 7,081 views
    Superstable fixed points and cycles. Intuition behind renormalization, based on self-similarity. Renormalization transformation. Defining a family of universal functions. Explaining geometrically w...
  • MAE5790-20 Universal aspects of period doubling - Duration: 1 hour, 11 minutes.

    • 4 years ago
    • 6,392 views
    Exploring the logistic map and period doubling with online applets. Interactive cobweb diagrams. Interactive orbit diagram. Zooming in to see the periodic windows. Self-similar fractal structure: e...
  • MAE5790-19 One dimensional maps - Duration: 1 hour, 14 minutes.

    • 4 years ago
    • 9,051 views
    Logistic map: a simple mathematical model with very complicated dynamics. Influential article by Robert May. Numerical results: Fixed points. Cycles of period 2, 4, 8, 16, .... The period-doubling ...
  • MAE5790-18 Strange attractor for the Lorenz equations - Duration: 1 hour, 13 minutes.

    • 4 years ago
    • 8,181 views
    Defining attractor, chaos, and strange attractor. Transient chaos in games of chance. Dynamics on the Lorenz attractor. Reduction to a 1-D map: the Lorenz map. Ruling out stable limit cycles for th...
  • MAE5790-17 Chaos in the Lorenz equations - Duration: 1 hour, 16 minutes.

    • 4 years ago
    • 10,180 views
    Global stability for the origin for r is less than 1. Liapunov function. Boundedness. Hopf bifurcations. No quasiperiodicity. Simulations of the Lorenz system. Stories of how Lorenz made his discov...
  • MAE5790-16 waterwheel equations and Lorenz equations - Duration: 1 hour, 12 minutes.

    • 4 years ago
    • 7,324 views
    Analysis of the waterwheel equations. Lorenz equations. Simple properties of the Lorenz system. Volume contraction. Fixed points and their linear stability.

    Reading: Strogatz, "Nonlinear Dynamics ...
  • MAE5790-15 Chaotic waterwheel - Duration: 1 hour, 14 minutes.

    • 4 years ago
    • 7,397 views
    Schematic diagram of the waterwheel. Video of waterwheel in action. Derivation of governing equations for the waterwheel. Contuinuity equation and torque balance. Amplitude equations. Using orthog...
  • MAE5790-14 Global bifurcations of cycles - Duration: 1 hour, 16 minutes.

    • 4 years ago
    • 7,990 views
    Hopf, saddle-node bifurcation of cycles, SNIPER, and homoclinic bifurcation. Coupled oscillators. Knotted cycles. Quasiperiodicity.

    Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.4...
  • MAE5790-13 Hopf bifurcations in aeroelastic instabilities and chemical oscillators - Duration: 1 hour, 7 minutes.

    • 4 years ago
    • 9,112 views
    Supercritical vs subcritical Hopf. Airplane wing vibrations. Flutter. Chemical oscillations. Computer simulations.

    Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 8.2, 8.3.
  • MAE5790-10 van der Pol oscillator - Duration: 1 hour, 5 minutes.

    • 4 years ago
    • 17,546 views
    Origins of the van der Pol oscillator in radio engineering. Strongly nonlinear limit. Liénard transformation. Relaxation oscillations. Weakly nonlinear limit. Energy method for estimating the ampli...
  • MAE5790-9 Testing for closed orbits - Duration: 1 hour, 16 minutes.

    • 4 years ago
    • 14,488 views
    Techniques for ruling out closed orbits: index theory and Dulac's criterion. Techniques for proving closed orbits exist: Poincaré-Bendixson theorem. Trapping regions. Example in polar coordinates. ...
  • MAE5790-7 Conservative Systems - Duration: 1 hour, 17 minutes.

    • 4 years ago
    • 15,144 views
    Mechanical systems with one degree of freedom. Particle in a double well. Symmetry. Homoclinic orbits. Energy surface. Theorem about nonlinear centers. Pendulum. Cylindrical phase space.

    Reading: ...
  • MAE5790-6 Two dimensional nonlinear systems fixed points - Duration: 1 hour, 7 minutes.

    • 4 years ago
    • 25,880 views
    Linearization. Jacobian matrix. Borderline cases. Example: Centers are delicate. Polar coordinates. Example of phase plane analysis: rabbits versus sheep (Lotka-Volterra model of competition in pop...
  • MAE5790-2 One dimensional Systems - Duration: 1 hour, 16 minutes.

    • 4 years ago
    • 52,614 views
    Linearization for 1-D systems. Existence and uniqueness of solutions. Bifurcations. Saddle-node bifurcation. Bifurcation diagrams.

    Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 3.0...
  • MAEnow - Host Joe Rogan with segway robot

    MAEnow host Joe Rogan at elevator 2014 - Duration: 106 seconds.

    • 4 years ago
    • 158 views
    MAEnow's host, Joe Rogan, talks with segway robot...waiting for an elevator in Rhodes Hall, Cornell University.
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