Cumulative Notes

From Regular to Chaotic Motion [p42]

Regular Systems [p43] [p44]

Examples of Regular Systems [p45]

Ergodic Systems [p46] [p47] [p48]

Mixing Systems [p49] [p50]

K-Systems [p51]

Bernouilli Systems [p52] [p53]

Quasi Integrable Systems [p54]

Measure Preserving Maps [p55] [p56]

Surfaces of Section [p57]

Abstract Dynamical Systems [p58] [p59]

Physical Hamiltonian Systems [p60] [p61] [p62]

Number Theoretical Abstract Dynamical Systems [p66] [p67] [p68] [p69] [p70] [p71] [p72] [p73]

Two Dimensional Abstract Dynamical Systems [p74] [p75] [p76]

Billiards [p77]

Regular Billiards [p78]

Chaotic Billiards [p79]

Pseudo-integrable Billiards-Polygons [p80] [p81]

Bibliography [p82]

Quantum Chaos [p83] [p84]

Vibrations of the Membrane (Quantum Billiards) [p85] [p86] [p87] [p88]

Other Examples [p89]

Discussion [p90]

Bibliography [p91]

Summary, Remarks, Conclusions [p92] [p93] [p94] [p95] [p96]

References [p97] [p98] [p99]

Jacobus Verbaarschot
Last revised: November 26, 2007.