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Introduction to Dynamics in Nonlinear Difference and Differential Equations

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Nonlinear Dynamics in Physiology and Medicine

Part of the book series: Interdisciplinary Applied Mathematics ((IAM,volume 25))

Abstract

Nonlinear dynamics is a branch of mathematics that deals with rhythms in nonlinear equations. There is an emphasis on qualitative aspects of dynamics. For example, does a particular set of equations display a steady state, a cycle, or a more complex rhythm? For what range of parameters are the rhythms stable? When the rhythms become unstable, what new rhythms are observed?

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© 2003 Springer Science+Business Media New York

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BĂ©lair, J., Glass, L. (2003). Introduction to Dynamics in Nonlinear Difference and Differential Equations. In: Beuter, A., Glass, L., Mackey, M.C., Titcombe, M.S. (eds) Nonlinear Dynamics in Physiology and Medicine. Interdisciplinary Applied Mathematics, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21640-9_2

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  • DOI: https://doi.org/10.1007/978-0-387-21640-9_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1821-5

  • Online ISBN: 978-0-387-21640-9

  • eBook Packages: Springer Book Archive

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