Is Bifurcation Topologically the Same?

rsaad · Feb 19, 2013

Hi I have not taken nay course in Topology. So can someone please explain what it means to say "in the neighborhood of some point bifurcation is topologically same"?
thank you.

HallsofIvy · Feb 20, 2013

As you have written it, it doesn't mean anything. What is "topologically the same" as what?

rsaad · Feb 22, 2013

If you compare both sides of the bifurcation point, they are topologically same.

Is Bifurcation Topologically the Same?

Discussion

Graduate A nice YouTube channel about all things Riemann Zeta

Undergrad What is "x" in this definition of a basis?

Graduate Knots In 4D

Graduate Zeros of functions analytic in 2 variables

Undergrad A differential geometry question from continuum mechanics

Graduate Nonautonomous Lie derivative

Graduate Shauder basis for Hilbert spaces

Undergrad No structure in ##(d,x)## in ##\textbf{Met*}(X)## is admissible

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Is Bifurcation Topologically the Same?

Discussion

Similar threads

High School Topological neigborhoods that are not intervals in the real line?

Undergrad Show that a "cross" is not a topological manifold

The metrices are topologically but not strongly equivalent

Undergrad Is a game situation in chess topologically invariant?

Graduate What Topological Vector Spaces have an uncountable Schauder basis?

Undergrad Can a Topological Space be Both a 1-Manifold and an n-Manifold?

Applied Book recommendations for Bifurcation Diagrams

Undergrad Properties of the initial topology from a topological manifold

Graduate Topological constrains for the solutions of EFE

Undergrad Definitions of Continuity in Topological Spaces ....