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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Simpson, David John Warwick
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, ©2010.
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