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Published by: Massachusetts Institute of Technology  Language: English
Published by: Massachusetts Institute of Technology  Language: English
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This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with emphasis on geometric thinking, computational and analytical methods and makes extensive use of demonstration software.
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Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: 18385jfall2004.zip
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Download Course Materials
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Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: pset_3.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: otans_four_stmt.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: pset_2.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: problemlist.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: matlab_tutorial.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: ot_varlengthpend.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: pset_4.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: pset_1.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: pset_5.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: assngment_pol.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: trky_asmp_fxdpt.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: bead_on_wire.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: babynormalforms.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
File: wklynloscilator.pdf
This OER is part of OCW: Nonlinear Dynamics and Chaos
Published under: /Lecture Notes
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OCW Authors:
Inherited Tag(s):
 mathematics
 phase plane
 limit cycles
 poincarebendixson theory
 timedependent systems
 floquet theory
 poincare maps
 averaging
 stability of equilibria
 nearequilibrium dynamics
 center manifolds
 elementary bifurcations
 normal forms
 chaos
22 results found.
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