Linear Dynamical Systems
Explore what happens when velocity is determined by a matrix.
◀
System
Matrix
Equations
[
]
dx/dt =
x +
y
dy/dt =
x +
y
Presets...
Mode
Animated
Trails
Speed
1×
Display
Direction field
Eigenvector directions
Nullclines
Bold lines
Backwards in time (t < 0)
System analysis
Trace–determinant plane
Eigenvalues (complex plane)
Fine tuning
Diagonal split (s)
0.00
Rotation (ρ)
-2.00
Point analysis
Click a starting point to see its exact solution x(t), y(t).
How to use
▶
Phase
Time
Both
Clear starting points