Nonlinear Physics with Mathematica for Scientists and Engineers 1st Edition by Richard H Enns, George C McGuire ISBN 0817642234 9780817642235
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Product details:
ISBN 10: 0817642234
ISBN 13: 9780817642235
Author: Richard H. Enns, George C. McGuire
Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader’s understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.
Table of contents:
I Theory
1 Introduction
2 Nonlinear Systems. Part I
3 Nonlinear Systems. Part II
4 Topological Analysis
5 Analytic Methods
6 The Numerical Approach
7 Limit Cycles
8 Forced Oscillators
9 Nonlinear Maps
10 Nonlinear PDE Phenomena
11 Numerical Simulation
12 Inverse Scattering Method
II Experimental Activities
Introduction to Nonlinear Experiments
1 Magnetic Force
2 Magnetic Tower
3 Spin Toy Pendulum
4 Driven Eardrum
5 Nonlinear Damping
6 Anharmonic Potential
7 Iron Core Inductor
8 Nonlinear LRC Circuit
9 Tunnel Diode Negative Resistance Curve
10 Tunnel Diode Self-Excited Oscillator
11 Forced Duffing Equation
12 Focal Point Instability
13 Compound Pendulum
14 Damped Simple Pendulum
15 Stable Limit Cycle
16 Van der Pol Limit Cycle
17 Relaxation Oscillations: Neon Bulb
18 Relaxation Oscillations: Drinking Bird
19 Relaxation Oscillations: Tunnel Diode
20 Hard Spring
21 Nonlinear Resonance Curve: Mechanical
22 Nonlinear Resonance Curve: Electrical
23 Nonlinear Resonance Curve: Magnetic
24 Subharmonic Response: Period Doubling
25 Diode: Period Doubling
26 Five-Well Magnetic Potential
27 Power Spectrum
28 Entrainment and Quasiperiodicity
29 Quasiperiodicity
30 Chua’s Butterfly
31 Route to Chaos
32 Driven Spin Toy
33 Mapping
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Tags: Richard H Enns, George C McGuire, Nonlinear, Physics, Mathematica, Scientists, Engineers