Peer reviewed
Direct linkERIC Number: EJ910488
Record Type: Journal
Publication Date: 2010-Dec
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0268-3679
EISSN: N/A
Calculating Lyapunov Exponents: Applying Products and Evaluating Integrals
McCartney, Mark
Teaching Mathematics and Its Applications: An International Journal of the IMA, v29 n4 p208-215 Dec 2010
Two common examples of one-dimensional maps (the tent map and the logistic map) are generalized to cases where they have more than one control parameter. In the case of the tent map, this still allows the global Lyapunov exponent to be found analytically, and permits various properties of the resulting global Lyapunov exponents to be investigated using elementary calculus and the evaluation of certain products. A number of classroom exercises are given.
Descriptors: Calculus, Class Activities, Mathematics Instruction, Mathematical Concepts, Computation
Oxford University Press. Great Clarendon Street, Oxford, OX2 6DP, UK. Tel: +44-1865-353907; Fax: +44-1865-353485; e-mail: jnls.cust.serv@oxfordjournals.org; Web site: http://teamat.oxfordjournals.org/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
