Couverture / Jaquette

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Table des matières

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.- to Nonlinear Experiments.- 1 Spin Toy Pendulum.- 2 Driven Eardrum.- 3 Nonlinear Damping.- 4 Anharmonic Potential.- 5 Iron Core Inductor.- 6 Nonlinear LRC Circuit.- 7 Tunnel Diode Negative Resistance Curve.- 8 Tunnel Diode Self-Excited Oscillator.- 9 Forced Duffing Equation.- 10 Focal Point Instability.- 11 Compound Pendulum.- 12 Stable Limit Cycle.- 13 Van der Pol Limit Cycle.- 14 Relaxation Oscillations: Neon Bulb.- 15 Relaxation Oscillations: Drinking Bird.- 16 Relaxation Oscillations: Tunnel Diode.- 17 Hard Spring.- 18 Nonlinear Resonance Curve: Mechanical.- 19 Nonlinear Resonance Curve: Electrical.- 20 Nonlinear Resonance Curve: Magnetic.- 21 Subharmonic Response: Period Doubling.- 22 Diode: Period Doubling.- 23 Five-Well Magnetic Potential.- 24 Power Spectrum.- 25 Entrainment and Quasiperiodicity.- 26 Quasiperiodicity.- 27 Chua's Butterfly.- 28 Route to Chaos.- 29 Driven Spin Toy.- 30 Mapping.

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