# Colored Figures

Over the past years, many figures have been set in color. Here we present several examples.

Eveybody is invited to use these figures, under proper quotation.

 Bifurcation Diagrams (blue: stable, green: unstable, red: bifurcation point) Example 1.7 Lorenz Equation (pages 23-26, 85-92, Fig.2.35) pdf jpg gif Example 2.14 CSTR (pages 97-99, Fig.2.43) pdf jpg gif Example 3.8 Voltage Collapse (pages 159-161, Fig.3.26) pdf jpg gif Example 6.1 Brusselator (pages 264-266, Fig. 6.1) pdf jpg Example 6.2 Duffing Eq.(pages 266-271, Fig. 6.2) pdf jpg Example 6.2 (detail) pdf jpg Example 6.4 superconductivity (pages 280-284, Fig. 6.10) pdf jpg Example 6.6 buckling of a rod (pages 286-287, Fig. 6.12) pdf jpg Example 7.6 two coupled Brusselators (pages 318-321, Fig. 7.13) pdf jpg Example 7.8 Isothermic Reaction (pages 325-326, Fig. 7.17) pdf jpg gif Example 7.15 Autocatalytic Reaction (pages 342-344) pdf jpg gif

 CSTR stirred tank reactor (Example 2.14, page 97) Figure 1.3 y_1(t) for parameter growing from 0.1 to 0.3 pdf jpg gif Figure 2.43 bifurcation diagram pdf jpg gif

 Lorenz Equation (Example 1.7, page 23, page 85) Figure 1.15 phase space, local dynamics at (0,0,0) pdf jpg gif Figure 1.16 phase space, local dynamics at the nontrivial equilibrium pdf jpg gif Figure 1.17 phase space, numerical simulation, with points hitting the plane z=29 pdf jpg gif same, another view pdf gif same, planar view pdf gif Figure 2.35 bifurcation diagram (detail) pdf jpg gif

 Voltage Collapse (Example 3.8, page 159) Figure 3.27 phase plane, parameter=2.5588 pdf jpg gif Figure 3.27 phase plane, parameter=2.5665 pdf jpg gif Figure 3.28 V(t), voltage collapse, parameter grows pdf gif Figure 3.26 bifurcation diagram pdf jpg gif

 Autocatalytic reaction (Example 7.15, page 342) Figure 2.25 stable solutions close to Hopf bifurcation (b&w) pdf gif Figure the same as colored surface pdf jpg gif Figure bifurcation diagram (detail) pdf jpg gif

 Isothermic Reaction (Example 7.8, page 325) Figure 1.5 y_1(t) for parameter=11. pdf jpg gif Figure 1.5 y_1(t) for parameter=10.55 pdf jpg gif Figure 1.5 y_1(t) for parameter=10.11 pdf jpg gif Figure 1.5 y_1(t) for parameter=9.9 pdf jpg gif Figure 7.17 bifurcation diagram (detail) pdf jpg gif Figure bifurcation landscape pdf gif

 Hodgkin-Huxley Nerve Model (Section 3.4.1, pages 138-141) Figure 3.15 phase plane pdf jpg gif

 Numerical Integration of Van der Pol Eq. (Section 1.5.2, pages 43, 44) (green curve: the limit cycle) Figure 1.21 explicit Euler scheme for step length 0.1 pdf jpg gif Figure 1.21 explicit Euler scheme for step length 0.2 pdf jpg gif Figure 1.22 explicit (red) and implicit (blue) Euler for step length 0.2 pdf jpg gif Figure 1.22 explicit and implicit Euler for step length 0.02 pdf jpg gif

August 2020
seydel "at" math.uni-koeln.de