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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.
Author(s):
Tag(s):
- 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
File: 18-385j-fall-2004.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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
Share in:
OCW Authors:
Inherited Tag(s):
- 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
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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
Share in:
OCW Authors:
Inherited Tag(s):
- 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
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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium 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
- poincare-bendixson theory
- time-dependent systems
- floquet theory
- poincare maps
- averaging
- stability of equilibria
- near-equilibrium dynamics
- center manifolds
- elementary bifurcations
- normal forms
- chaos
22 results found.
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