Interpretation:
The system
Concept Introduction:
Fixed points occur where
The Jacobian matrix at a general point
The Eigenvalue
The solution for the quadratic equation can be calculated by
Index theory provides global information about the phase portrait and fixed points.
The index of the closed curve
The index of the closed curve with respect to the vector field can be mathematically expressed as
Where,
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Nonlinear Dynamics and Chaos
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage