Instabilities, Chaos and Turbulence: An Introduction to Nonlinear Dynamics and Complex Systems; Preface; Contents; 1. Introduction and Overview; 2. First Steps in Nonlinear Dynamics; 3. Life and Death of Dissipative Structures; 4. Nonlinear Dynamics: from Simple to Complex; 5. Nonlinear Dynamics of Patterns; 6. Open Flows: Instability and Transition; 7. Developed Turbulence; 8. Summary and Perspectives; Appendix A Linear Algebra; Appendix B Numerical Approach; Bibliography; Index.
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This book is an introduction to the application of nonlinear dynamicsto problems of stability, chaos and turbulence arising in continuousmedia and their connection to dynamical systems. With an emphasis onthe understanding of basic concepts, it should be of interest tonearly any science-oriented undergraduate and potentially to anyonewho wants to learn about recent advances in the field of appliednonlinear dynamics. Technicalities are, however, not completelyavoided. They are instead explained as simply as possible usingheuristic arguments and specific worked examples.