Differential Equation 2D Visualization Tool
Differential Equation
2D Visualization Tool
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- [01] 2-Dimensional Linear Autonomous System of 1 Order
- 1. One of the eigenvalues is 0:
- 2. There are two eigenvalues with different signs:
- 3. There are two eigenvalues and both are positive 1:
- 4. There are two eigenvalues and both are positive 2:
- 5. There are two eigenvalues and both are negative:
- 6. The eigenvalues are double root, matrix A is diagonalizable:
- 7. The eigenvalues are double root, matrix A is not diagonalizable:
- 8. The eigenvalues are purely imaginary:
- 9. The eigenvalues have both real and imaginary parts:
- [02] 2-Dimensional Linear Autonomous System of 2 Order
- 1. Node-Saddle Point Type:
- 2. Degenerate Node-Saddle Point Type:
- 3. Double Elliptic Type:
- 4. Triple Crossing Type:
- 5. Node Type 2:
- 6. Parabolic Type:
- [03] High-order Simultaneous Autonomous System:
- 1. Homogeneous Autonomous System with periodic solution:
- 2. Homogeneous Autonomous System with eight parabolic sectors:
- 3. Homogeneous Autonomous System with compound sectors:
- 4. Vinograd's Autonomous System:
- [04] 2-Dimensional Autonomous System Examples:
- 1. Autonomous System with periodic equilibrium points on x-axis:
- 2. Autonomous System with 8 equilibrium points on the circumference:
- 3. Autonomous system with periodic equilibrium points on a plane:
- 4. Limit Cycle 1:
- 5. Limit Cycle 2: von del Pol:
- 6. Limit Cycle 3: Lemniscate:
- 7. Limit Cycle 4: for pure imaginary eigenvalues 1
- 8. Limit Cycle 5: for pure imaginary eigenvalues 2
- 9. Hamilton System 1: Cassini oval
- 10. Hamilton System 2: folium of Descartes
- 11. Hamilton System 3: derivatives of "folium of Descartes"
- 12. Hamilton System 4: for trigonometric functions
- [99] User defined Equations
- 0. User defined Equations
- 1. sample 1
- 2. sample 2
- 3. sample 3
- 4. sample 4
- 5. sample 5
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