John J' Tyson

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Practical Bifurcation Theory

• John J. Tyson
• Virginia Polytechnic Institute
• Virginia Bioinformatics Institute

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References

• Strogatz, Nonlinear Dynamics and Chaos (Addison
  Wesley)
• Kuznetsov, Elements of Applied Bifurcation Theory
  (Springer)
• XPP-AUT www.math.pitt.edu/bard/xpp
• Oscill8 http//oscill8.sourceforge.net

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The Dynamical Perspective
Molec Genetics Biochemistry
Cell Biology
Molecular Mechanism
Kinetic Equations
The Curse of Parameter Space
State Space, Vector Field
Attractors, Transients, Repellors
Bifurcation Diagrams
Signal-Response Curves
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Rene Thom (1972), Structural Stability and
Morphogenesis
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Torus
Heteroclinic
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Torus
?
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Trajectories for the Fold-Hopf bifurcations as
illustrated in the Kuznetsovs book.
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