János Karsai

Models of Impulsive Phenomena

Mathematica experiments

Typotex Publishing Company, Budapest

2002

Gallery

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