Bifurcations in piecewise-smooth continuous systems /
Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous sys...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New Jersey :
World Scientific,
©2010.
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Colección: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 70. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Acknowledgments; Contents; 1. Fundamentals of Piecewise-Smooth, Continuous Systems; 2. Discontinuous Bifurcations in Planar Systems; 3. Codimension-Two, Discontinuous Bifurcations; 4. The Growth of Saccharomyces cerevisiae; 5. Codimension-Two, Border-Collision Bifurcations; 6. Periodic Solutions and Resonance Tongues; 7. Neimark-Sacker-Like Bifurcations; Appendix A Selected Proofs; Appendix B Additional Figures; Appendix C Adjugate Matrices; Appendix D Parameter Values for S. cerevisiae; Bibliography; Index