Contents -- Preface -- Acknowledgments -- 1. Fundamentals of Piecewise-Smooth, Continuous Systems -- 1.1 Applications -- 1.2 A Framework for Local Behavior -- 1.3 Existence of Equilibria and Fixed Points -- 1.4 The Observer Canonical Form . -- 1.5 Discontinuous Bifurcations -- 1.6 Border-Collision Bifurcations -- 1.7 Poincare Maps and Discontinuity Maps -- 1.8 Period Adding -- 1.9 Smooth Approximations -- 2. Discontinuous Bifurcations in Planar Systems -- 2.1 Periodic Orbits -- 2.2 The Focus-Focus Case in Detail -- 2.3 Summary and Classification -- 3. Codimension-Two, Discontinuous Bifurcations -- 3.1 A Nonsmooth, Saddle-Node Bifurcation -- 3.2 A Nonsmooth, Hopf Bifurcation . -- 3.3 A Codimension-Two, Discontinuous Hopf Bifurcation -- 4. The Growth of Saccharomyces cerevisiae -- 4.1 Mathematical Model -- 4.2 Basic Mathematical Observations -- 4.3 Bifurcation Structure -- 4.4 Simple and Complicated Stable Oscillations -- 5. Codimension-Two, Border-Collision Bifurcations -- 5.1 A Nonsmooth, Saddle-Node Bifurcation -- 5.2 A Nonsmooth, Period-Doubling Bifurcation -- 6. Periodic Solutions and Resonance Tongues -- 6.1 Symbolic Dynamics -- 6.2 Describing and Locating Periodic Solutions -- 6.3 Resonance Tongue Boundaries -- 6.4 Rotational Symbol Sequences . -- 6.5 Cardinality of Symbol Sequences -- 6.6 Shrinking Points -- 6.7 Unfolding Shrinking Points -- 7. Neimark-Sacker-Like Bifurcations -- 7.1 A Two-Dimensional Map -- 7.2 Basic Dynamics -- 7.3 Limiting Parameter Values -- 7.4 Resonance Tongues -- 7.5 Complex Phenomena Relating to Resonance Tongues -- 7.6 More Complex Phenomena -- Appendix A Selected Proofs -- Lemma 1.3 -- Theorem 1.1 -- Theorem 2.1 -- Theorem 3.1 -- Theorem 3.2 -- Theorem 3.3 -- Theorem 3.4 -- Theorem 5.2 -- Theorem 5.3 -- Lemma 6.9 -- Theorem 6.1 -- Lemma 7.1 -- Appendix B Additional Figures -- Appendix C Adjugate Matrices.

Appendix D Parameter Values for S. cerevisiae -- Bibliography -- Index.