Ebook: Laboratory Manual for Nonlinear Physics with Maple for Scientists and Engineers
- Genre: Computers // Software: Systems: scientific computing
- Tags: Measurement Science and Instrumentation, Statistical Physics Dynamical Systems and Complexity, Numerical and Computational Physics
- Year: 1996
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Science demands that all theory must be checked by experiment. Richard Feyn man, Nobel Laureate in physics (1965), reminds us in a wonderful quote that "The test of all knowledge is experiment. Experiment is the sole judge of sci entific truth. " 1 It is because nonlinear physics can be so profoundly counter intuitive that these laboratory investigations are so important. This manual is designed to be used with the text Nonlinear Physics with Maple for Scientists and Engineers. Understanding is enhanced when experiments are used to check so please attempt as many of the activities as you can. As you perform theory, these activities, we hope that you will be amazed and startled by strange behav ior, intrigued and terrorized by new ideas, and be able to amaze your friends as you relate your strange sightings! Remember that imagination is just as impor tant as knowledge, so exercise yours whenever possible. But please be careful, as nonlinear activities can be addicting, can provide fond memories, and can awaken an interest that lasts a lifetime. Although it has been said that a rose by any other name is still a rose, (with apologies to Shakespeare) the authors of this laboratory manual have, in an endeavor to encourage the use of these nonlinear investigations, called them experimental activities rather than experiments. A number of design innovations have been introduced: A.
Content:
Front Matter....Pages i-xii
Spin Toy Pendulum....Pages 1-4
Nonlinear Damping....Pages 5-8
Anharmonic Potential....Pages 9-13
Iron Core Inductor....Pages 15-18
Nonlinear LRC Circuit....Pages 19-24
Tunnel Diode Negative Resistance Curve....Pages 25-31
Forced Duffing Equation....Pages 33-35
Focal Point Instability....Pages 37-42
Period of a Compound Pendulum....Pages 43-48
Stable Limit Cycle....Pages 49-51
Van der Pol Limit Cycle....Pages 53-60
Relaxation Oscillations: Drinking Bird....Pages 61-64
Relaxation Oscillations: Tunnel Diode....Pages 65-70
Hard Spring....Pages 71-73
Nonlinear Resonance Curve: Mechanical....Pages 75-78
Nonlinear Resonance Curve: Electrical....Pages 79-81
Nonlinear Resonance Curve: Magnetic....Pages 83-86
Subharmonic Response: Period Doubling....Pages 87-91
Diode: Period Doubling....Pages 93-96
Power Spectrum....Pages 97-99
Entrainment and Quasiperiodicity....Pages 101-105
Quasiperiodicity: Neon Bulb....Pages 107-109
Chua’s Butterfly....Pages 111-113
Route to Chaos....Pages 115-117
Driven Spin Toy....Pages 119-123
Mapping....Pages 125-128
Back Matter....Pages 129-130
....Pages 131-134