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Nonlinear Physics with Mathematica for Scientists and Engineers Book

Nonlinear Physics with Mathematica for Scientists and Engineers
Nonlinear Physics with Mathematica for Scientists and Engineers, 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 alge, Nonlinear Physics with Mathematica for Scientists and Engineers has a rating of 4.5 stars
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Nonlinear Physics with Mathematica for Scientists and Engineers, 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 alge, Nonlinear Physics with Mathematica for Scientists and Engineers
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  • Nonlinear Physics with Mathematica for Scientists and Engineers
  • Written by author Richard H. Enns
  • Published by Springer-Verlag New York, LLC, June 2001
  • 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 alge
  • 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 alge
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Preface
ITheory1
1Introduction3
2Nonlinear Systems. Part I39
3Nonlinear Systems. Part II81
4Topological Analysis125
5Analytic Methods167
6The Numerical Approach223
7Limit Cycles265
8Forced Oscillators293
9Nonlinear Maps355
10Nonlinear PDE Phenomena413
11Numerical Simulation451
12Inverse Scattering Method491
IIExperimental Activities511
Introduction to Nonlinear Experiments513
1Magnetic Force517
2Magnetic Tower521
3Spin Toy Pendulum525
4Driven Eardrum529
5Nonlinear Damping533
6Anharmonic Potential537
7Iron Core Inductor543
8Nonlinear LRC Circuit547
9Tunnel Diode Negative Resistance Curve553
10Tunnel Diode Self-Excited Oscillator559
11Forced Duffing Equation563
12Focal Point Instability569
13Compound Pendulum575
14Damped Simple Pendulum577
15Stable Limit Cycle579
16Van der Pol Limit Cycle587
17Relaxation Oscillations: Neon Bulb591
18Relaxation Oscillations: Drinking Bird597
19Relaxation Oscillations: Tunnel Diode601
20Hard Spring605
21Nonlinear Resonance Curve: Mechanical609
22Nonlinear Resonance Curve: Electrical613
23Nonlinear Resonance Curve: Magnetic617
24Subharmonic Response: Period Doubling621
25Diode: Period Doubling623
26Five-Well Magnetic Potential627
27Power Spectrum633
28Entrainment and Quasiperiodicity637
29Quasiperiodicity639
30Chua's Butterfly641
31Route to Chaos645
32Driven Spin Toy649
33Mapping651
Bibliography655
Index669


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Nonlinear Physics with Mathematica for Scientists and Engineers, 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 alge, Nonlinear Physics with Mathematica for Scientists and Engineers

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Nonlinear Physics with Mathematica for Scientists and Engineers, 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 alge, Nonlinear Physics with Mathematica for Scientists and Engineers

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Nonlinear Physics with Mathematica for Scientists and Engineers, 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 alge, Nonlinear Physics with Mathematica for Scientists and Engineers

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