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Nonlinear Physics with Maple for Scientists and Engineers

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Author(s): Richard H. Enns, George C. McGuire (auth.)
Edition: 2
Publisher: Birkhäuser Basel
Year: 2000

Language: English
Pages: 661
Tags: Theoretical, Mathematical and Computational Physics;Numerical and Computational Physics;Statistical Physics, Dynamical Systems and Complexity;Computer-Aided Engineering (CAD, CAE) and Design

Front Matter....Pages i-xv
Front Matter....Pages 1-2
Introduction....Pages 3-34
Nonlinear Systems. Part I....Pages 35-76
Nonlinear Systems. Part II....Pages 77-120
Topological Analysis....Pages 121-162
Analytic Methods....Pages 163-214
The Numerical Approach....Pages 215-254
Limit Cycles....Pages 255-282
Forced Oscillators....Pages 283-342
Nonlinear Maps....Pages 343-400
Nonlinear PDE Phenomena....Pages 401-436
Numerical Simulation....Pages 437-472
Inverse Scattering Method....Pages 473-492
Front Matter....Pages 493-494
Introduction to Nonlinear Experiments....Pages 495-498
Spin Toy Pendulum....Pages 499-502
Driven Eardrum....Pages 503-506
Nonlinear Damping....Pages 507-510
Anharmonic Potential....Pages 511-516
Iron Core Inductor....Pages 517-520
Nonlinear LRC Circuit....Pages 521-526
Tunnel Diode Negative Resistance Curve....Pages 527-532
Front Matter....Pages 493-494
Tunnel Diode Self-Excited Oscillator....Pages 533-536
Forced Duffing Equation....Pages 537-542
Focal Point Instability....Pages 543-548
Compound Pendulum....Pages 549-550
Stable Limit Cycle....Pages 551-558
Van der Pol Limit Cycle....Pages 559-562
Relaxation Oscillations: Neon Bulb....Pages 563-568
Relaxation Oscillations: Drinking Bird....Pages 569-572
Relaxation Oscillations: Tunnel Diode....Pages 573-576
Hard Spring....Pages 577-580
Nonlinear Resonance Curve: Mechanical....Pages 581-584
Nonlinear Resonance Curve: Electrical....Pages 585-588
Nonlinear Resonance Curve: Magnetic....Pages 589-592
Subharmonic Response: Period Doubling....Pages 593-594
Diode: Period Doubling....Pages 595-598
Five-Well Magnetic Potential....Pages 599-604
Power Spectrum....Pages 605-608
Entrainment and Quasiperiodicity....Pages 609-610
Quasiperiodicity....Pages 611-612
Chua’s Butterfly....Pages 613-616
Front Matter....Pages 493-494
Route to Chaos....Pages 617-620
Driven Spin Toy....Pages 621-622
Mapping....Pages 623-625
Back Matter....Pages 627-661