What’s on the Phase Plane Classification poster
A 6-row table: Eigenvalues of A · Type · Stability.
For x′ = Ax in the plane, near the origin.
- Real, both negative — Node — Stable
- Real, both positive — Node — Unstable
- Real, opposite signs — Saddle — Unstable
- Complex, negative real part — Spiral — Stable
- Complex, positive real part — Spiral — Unstable
- Purely imaginary — Centre — Neutrally stable
Stable exactly when both eigenvalues have negative real part, which for a 2×2 system means trace < 0 and determinant > 0.
Questions about the Phase Plane Classification poster
- What’s on the Phase Plane Classification poster?
- A 6-row table: Eigenvalues of A · Type · Stability. For x′ = Ax in the plane, near the origin. Real, both negative — Node — Stable; Real, both positive — Node — Unstable; Real, opposite signs — Saddle — Unstable; Complex, negative real part — Spiral — Stable; Complex, positive real part — Spiral — Unstable; Purely imaginary — Centre — Neutrally stable. Stable exactly when both eigenvalues have negative real part, which for a 2×2 system means trace < 0 and determinant > 0.
- Who is the Phase Plane Classification poster for?
- Phase Plane Classification belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning differential equations can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Phase Plane Classification poster?
- For stability questions where the exact solution is not needed. A wall chart earns its place by being glanceable from where the work is happening, so Phase Plane Classification belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Phase Plane Classification?
- Exact Equations, Existence & Uniqueness and Separable Equations sit alongside Phase Plane Classification in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Exact EquationsExistence & UniquenessSeparable Equations
- Is the Phase Plane Classification poster free to download and print?
- Yes. Phase Plane Classification downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Phase Plane Classification poster print at?
- Phase Plane Classification is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Phase Plane Classification loses nothing.Printing guide
Related posters
Charts that sit alongside Phase Plane Classification on the same wall.
Browse every Mathematics poster, or start from the full catalogue.