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Concept explainers
Interpretation:
To classify the fixed points in the non-linear differential equation of the Gompertz model of cancerous growth.
Concept Introduction:
Fixed points in the non-linear system are the points where system stables down and there will be no more change (growth or decay) unless some external stimuli are applied.
There are two types of fixed points in the system, stable fixed points, and unstable fixed points.
Stable fixed points are those, where the system tends to come back even after the application of perturbation.
While unstable fixed points are those, where, if the perturbation is applied then the system never comes back in that state.
Whether the fixed point is stable or unstable can be found by their slopes in phase space diagram.
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Chapter 2 Solutions
Nonlinear Dynamics and Chaos
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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