Differential Equations and Dynamical Systems
Differential equation can be described as the following form:
\(\frac{\textrm{d}x}{\textrm{d}t}=\dot x=f(x), (3.1)\)
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Guckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Field. Springer, New York (1983)
Hale, J.K.: Methods of Bifurcation Theory. Springer, New York (1982)
Hartman, P.: Ordinary Differential Equations. Cambridge University Press, Cambridge (2002)
Kielhoefer, H.: Bifurcation Theory: An Introduction with Applications to PDEs. Springer, New York (2004)
Kuznetsov, Y.: Elements of Applied Bifurcation Theory. Springer, New York (2004)
Ma, T., Wang, S.: Bifurcation Theory and Applications. World Scientific, Singapore (2005)
Parker, T.S., Chua, L.O.: Practical Numerical Algorithms for Chaotic Systems. Springer, New York (1989)
Seydel, R.: Practical Bifurcation and Stability Analysis. Springer, Berlin (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag London Limited
About this chapter
Cite this chapter
Zhang, Q., Liu, C., Zhang, X. (2012). Bifurcations. In: Complexity, Analysis and Control of Singular Biological Systems. Lecture Notes in Control and Information Sciences, vol 421. Springer, London. https://doi.org/10.1007/978-1-4471-2303-3_3
Download citation
DOI: https://doi.org/10.1007/978-1-4471-2303-3_3
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2302-6
Online ISBN: 978-1-4471-2303-3
eBook Packages: EngineeringEngineering (R0)