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Index

center fixed point

Stability of Critical Points

critical point stability

example of two dimensional linear system

Stability of Critical Points

discriminant

Stability of Critical Points

eigenvalues

in analysis of critical point stability

Stability of Critical Points

fast and slow variables

Unstable Manifolds

fixed point characterization

Phase Plane and Critical

invariants

of two-by-two matrix

Stability of Critical Points

nodes

stable and unstable

Stability of Critical Points

pendulum

phase plane visualization

Phase Plane and Critical

phase

comparison of usage in materials science and statistical or classical mechanics

Phase Plane and Critical | Phase Plane and Critical

phase plane

Phase Plane and Critical

visualization for pendulum

Phase Plane and Critical

visualization of behavior

Stability of Critical Points

saddles

stable and unstable

Stability of Critical Points

spirals

stable and unstable

Stability of Critical Points

system reduction

onto manifolds

Unstable Manifolds

trace

Stability of Critical Points

unstable manifolds

Unstable Manifolds