Abstract
In this chapter we shall show how to find convergent series approximations of periodic solutions by using the expansion theorem and the periodicity of the solution. This method is usually called after Poincaré and Lindstedt, it is also called the continuation method.
Keywords
- Periodic Solution
- Periodicity Condition
- Implicit Function Theorem
- Autonomous Equation
- Convergent Power Series
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Verhulst, F. (1996). The Poincaré-Lindstedt method. In: Nonlinear Differential Equations and Dynamical Systems. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61453-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-61453-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60934-6
Online ISBN: 978-3-642-61453-8
eBook Packages: Springer Book Archive