János Karsai

Models of Impulsive Phenomena

Mathematica experiments


 Typotex Publishing Company, Budapest








Chapter 1.3 Visualization of the path of motions




Chapter 4.3 Modeling scheme for 1D systems




Direction field, impulse field, and solutions of a 1D system:





Chapter 4.4 Modeling scheme for 2D systems



Impulse field and trajectories of a 2D system:





Chapter 5.4 Visualization of general impulses



Transformations by 1D and 2D  and impulses:





Chapter 6.2 Phasemaps of  differential equatios




Phasemaps of a linear system:




Chapter 6.3  Phasemaps of  impulsive systems



Phasemaps of a nonlinear system:



Chapter 7.1  Linear systems



A system with singular impulses:





Chapter 8.3  Stability by linear approximation





Chapter 10.3  Experiments for the Liapunov’s method




Direction and impulse fields and contour lines of the Liapunov’s function:




Integral curves:




Chapter 13.4  Impulsive external force in oscillators






Chapter 13.5  Impulsive relaxations oscillations