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Title: Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equations Courses
Url: http://math.bu.edu/DYSYS/ode-bif/ode-bif.html
Creator: Devaney, Robert L.
Publisher: Boston University
Description: Elementary bifurcation theory is topic is rarely included in traditional differential equations courses, yet it is of crucial importance in many engineering applications. In the Boston University Differential Equations project (a joint effort with Paul Blanchard and G. R. Hall), bifurcations form one strand which continually reappears throughout the course. Bifurcations initially arise in the study of first order autonomous equations. They appear again when the qualitative theory of linear systems is discussed. And they show up later in the course when nonlinear systems and discrete dynamical systems are treated. Web pages include: Qualitative approach to autonomous equations; The phase line and the graph of the vector field; Classification of equilibrium points; Bifurcations; An application: harvesting.
LC Classification: Science -- Mathematics -- Analysis -- Differential equations
Science -- Mathematics -- Analysis -- Differential equations -- Bifurcation theory
Science -- Mathematics -- Analytic mechanics -- Statics -- Rigid bodies. Forces and couples in three dimensions. Equilibrium
Science -- Mathematics -- Geometry -- Topology -- Manifolds and cell complexes -- Differential topology -- Vector fields
GEM Subject: Mathematics
Mathematics -- Instructional issues
Mathematics -- Applied mathematics
Mathematics -- Geometry
Date Issued: 1995
Resource Type: Reference Material
Instructional Material
Format: Document -- HTML
Audience: Educator
Learner
Education Level: Higher Education -- Graduate/Professional
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Language: English
Access Rights: Free access
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Source: Math Forum
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Resource URL Clicks: 22
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