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####
**
File:
18-385j-fall-2004.zip
**

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**This OER is part of OCW**: Nonlinear Dynamics and Chaos

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- mathematics
- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
pset_3.pdf
**

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**This OER is part of OCW**: Nonlinear Dynamics and Chaos

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- mathematics
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- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
otans_four_stmt.pdf
**

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**This OER is part of OCW**: Nonlinear Dynamics and Chaos

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- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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pset_2.pdf
**

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**This OER is part of OCW**: Nonlinear Dynamics and Chaos

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- mathematics
- phase plane
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- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
problemlist.pdf
**

**Pages:**24

**This OER is part of OCW**: Nonlinear Dynamics and Chaos

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- mathematics
- phase plane
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- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
matlab_tutorial.pdf
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**Pages:**7

**This OER is part of OCW**: Nonlinear Dynamics and Chaos

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- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
ot_varlengthpend.pdf
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- time-dependent systems
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- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
pset_4.pdf
**

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- mathematics
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- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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pset_1.pdf
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- mathematics
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- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
pset_5.pdf
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- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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assngment_pol.pdf
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- time-dependent systems
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- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

####
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File:
trky_asmp_fxdpt.pdf
**

**Pages:**16

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- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
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- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
bead_on_wire.pdf
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- mathematics
- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
babynormalforms.pdf
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- mathematics
- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
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- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
wklynloscilator.pdf
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**Pages:**18

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- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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File:
hopfbif.pdf
**

**Pages:**10

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- phase plane
- limit cycles
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos

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