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.