Dynamical System Simulator
By Simplicial Software, LLC
Dynamical System Simulator animates 2D and 3D first-order and second-order techniques of differential equations in actual time. Watch animated particles move by way of space leaving a path in their wake. Great for verifying slope fields, part portraits, and gaining an intuitive understanding of dynamical methods. Knowledge of differential equations is assumed however the help display will level you to extra sources of knowledge. The app is pre-loaded with a quantity of well known dynamical system configurations that could be chosen from the navigation drawer. Parameters for a particular system sort may be randomized.
Sample Systems:
• Logistic Population (1D)
• Periodic Harvesting (1D)
• Saddle (2D)
• Source (2D)
• Sink (2D)
• Center (2D)
• Spiral Source (2D)
• Spiral Sink (2D)
• Bifurcations (2D)
• Homoclinic Orbit (2D)
• Spiral Saddle (3D)
• Spiral Sink (3D)
• Lorenz (3D)
• Oscillations (3D)
Mode Settings:
• Matrix (linear) / Expressions (linear or non-linear)
• 2D / 3D
• 1st Order / 2nd Order
Simulation Settings:
• Number of Particles
• Update Rate
• Time Scale (including negative)
• Enable/Disable random preliminary velocities for particles
View Settings:
• Line Width
• Line Color
• Zooming (with pinch gestures)
• View Rotation (3D only)
In Expressions Mode the following symbols and trigonometric features can be used:
• x, y, z
• x', y', z' (2nd Order Mode Only)
• t (time)
• sin (sine)
• cos (cosine)
• asin (arcsine)
• acos (arccosine)
• abs (absolute value)
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