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| Preface | ||
| Introduction | 1 | |
| Ch. 1 | Dynamical systems. Phase space. Stochastic and chaotic systems. The number of degrees of freedom | 9 |
| Ch. 2 | Hamiltonian systems close to integrable. Appearance of stochastic motions in Hamiltonian systems | 19 |
| Ch. 3 | Attractors and repellers. Reconstruction of attractors from an experimental time series. Quantitative characteristics of attractors | 22 |
| Ch. 4 | Natural and forced oscillations and waves. Self-oscillations and auto-waves | 28 |
| Ch. 5 | Conservative systems | 35 |
| Ch. 6 | Non-conservative Hamiltonian systems and dissipative systems | 58 |
| Ch. 7 | Natural oscillations of non-linear oscillators | 71 |
| Ch. 8 | Natural oscillations in systems of coupled oscillators | 85 |
| Ch. 9 | Natural waves in bounded and unbounded continuous media. Solitons | 106 |
| Ch. 10 | Oscillations of a non-linear oscillator excited by an external force | 139 |
| Ch. 11 | Oscillations of coupled non-linear oscillators excited by an external periodic force | 156 |
| Ch. 12 | Parametric oscillations | 186 |
| Ch. 13 | Waves in semibounded media excited by perturbations applied to their boundaries | 202 |
| Ch. 14 | Forced oscillations and waves in active non-self-oscillatory systems. Turbulence. Burst instability. Excitation of waves with negative energy | 227 |
| Ch. 15 | Mechanisms of excitation and amplitude limitation of self-oscillations and auto-waves. Classification of self-oscillatory systems | 239 |
| Ch. 16 | Examples of self-oscillatory systems with lumped parameters. I | 246 |
| Ch. 17 | Examples of self-oscillatory systems with lumped parameters. II | 283 |
| Ch. 18 | Examples of self-oscillatory systems with high frequency power sources | 307 |
| Ch. 19 | Examples of self-oscillatory systems with time delay | 322 |
| Ch. 20 | Examples of continuous self-oscillatory systems with lumped active elements | 341 |
| Ch. 21 | Examples of self-oscillatory systems with distributed active elements | 354 |
| Ch. 22 | Periodic actions on self-oscillatory systems. Synchronization and chaotization of self-oscillations | 396 |
| Ch. 23 | Interaction between self-oscillatory systems | 414 |
| Ch. 24 | Examples of auto-waves and dissipative structures | 431 |
| Ch. 25 | Convective structures and self-oscillations in fluid. The onset of turbulence | 444 |
| Ch. 26 | Hydrodynamic and acoustic waves in subsonic jet and separated flows | 463 |
| Appendix A Approximate methods for solving linear differential equations with slowly varying parameters | 489 | |
| Appendix B The Whitham method and the stability of periodic running waves for the Klein-Gordon equation | 494 | |
| Bibliography | 499 | |
| Index | 535 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
JOKTAN BYERLY
reviewed Nonlinear Oscillations And Waves In Dynamical Systems on May 21, 2014
Nonlinear Oscillations And Waves In Dynamical Systems
This is a fantastic book for people that are looking for a wonderfully written book about wavelets. No way I would recommend this to someone that does not have a background in the field but if one does, this is a gem.
I wish there were more books like this; mathematics needs to be more accessible. And the question is, why isn't it??? This is a mathematically precise book, written by an English major. Why is there not more of this?
Congrats to the author and thank you for such a work. I wish you could do this for more advanced concepts.
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