| This animation gives a numerical illustration for Example 1(a). The animation shows that a chosen psi(0) from region R1 produces tolerance with respect to phi(0)=(4,0). The left panel of the animation corresponds to solutions phi and psi in phase space and the right panel shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 1(a). The animation shows that a chosen {lower case psi}(0) from region R2 produces tolerance with respect to {lower case phi}(0)=(4,0). The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right panel shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 1(a). The animation shows that a chosen {lower case psi}(0) from region R3 produces tolerance with respect to {lower case phi}(0)=(4,0). Compare with the animation for the Bottom Right panel of Figure 3.5. The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 1(a). The animation gives an example of a {lower case psi}(0) in region R3 that does not produce tolerance with respect to {lower case phi}(0)=(4,0). Compare with the animation for the Bottom Left panel of Figure 3.5. The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 1(c). The animation shows that a chosen {lower case psi}(0) from region R1 does not produce with respect to {lower case phi}(0)=(4,10). The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 1(c). The animation shows that a chosen {lower case psi}(0) from region R1 produces tolerance with respect to {lower case phi}(0)=(4,10). Compare to the animation for the Right panel of Figure 3.6. The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 1(c). The animation shows that a chosen {lower case psi}(0) from region R2 does not produce tolerance with respect to {lower case phi}(0)=(4,10). Compare to the animation for the Middle panel of Figure 3.6. The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 3 using an alternative choice for {lower case phi}(0), namely one in region {lower case alpha} as shown in Figure 3.12 of the manuscript. The animation shows that a chosen {lower case psi}(0) from region R3 produces tolerance with respect to a given {lower case phi}(0)=(0.5,2) (in region {lower case alpha}). Compare with the animation for the Right panel of Figure 3.13. The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. | |
| This animation gives a numerical illustration for Example 3 using an alternative choice for {lower case phi}(0), namely one in region {lower case alpha} as shown in Figure 3.12 of the manuscript. The animation shows that a chosen {lower case psi}(0) from region R3 does not produce tolerance with respect to {lower case phi}(0)=(0.5,2) (in region {lower case alpha}). Compare with the animation for the Left panel of Figure 3.13. The left panel of the animation corresponds to solutions {lower case phi} and {lower case psi} in phase space and the right side shows the time courses of the first component of each solution. |