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  1. Nonlinear dynamics and chaos: with applications to physics, biology, chemistry and engineering - Steven H. Strogatz 2000

    Book Further Reading This is a great textbook covering both discrete and continuous dynamical systems theory, with examples, case studies, applications, etc. at a level appropriate to this module (we will make use of Ch 10 in semester 1). It also contains material beyond the scope of this module (e.g. PDEs).

  2. Stability, instability and chaos: an introduction to the theory of nonlinear differential equations - Glendinning 1994

    Book Further Reading This textbook covers both discrete and continuous dynamical systems theory, with examples. There is significant coverage of bifurcation theory, some at a level more advanced than in this module.

  3. Introduction to Nonlinear Systems - John Berry 1995

    Book Further Reading This textbook covers both discrete and continuous dynamical systems theory, with examples and case studies. The level is quite elementary and not too abstract. The key concepts are developed via examples rather than starting with general Theorems.

  4. Mathematical biology - J.D. Murray c1993

    Book Further Reading This textbook is the `bible' in mathematical biology. It contains hundreds of examples and models illustrating the applicability of dynamical systems theory to biology.

  5. Essential mathematical biology - N. F. Britton c2003

    Book Further Reading This textbook contains many examples and models illustrating the applicability of dynamical systems theory to biology (e.g. population genetics, spread of infectious diseases, population dynamics, physiology, etc.)

  6. Nonlinear Systems - P. G. Drazin 1992

    Book Further Reading This textbook covers both discrete and continuous dynamical systems theory, with examples. There is significant coverage of `forced systems' and `asymptotic methods' which we do not cover in this module.

  7. Getting Started with Maple - Douglas B. Meade, Michael May, C-K. Cheung, G.E. Keough 2009

    Book Further Reading

  8. Differential Equations: An Introduction to Modern Methods and Applications - James R. Brannan, William E. Boyce 2007

    Book Further Reading

  9. Digitised material 4 items
    1. Ch5: Eigenvalues and Eigenvectors - G Strang

      Chapter  We will make frequent use of eigenvalues and eigenvectors in both semesters. Strang is a classic reference.

    2. Ch 10: One dimensional maps - Steven Strogatz

      Chapter Core Reading We look at some of the material in this chapter in semester 1, especially the logistic map and Period Doubling Cascades.

    3. Ch 4: Population Genetics and Evolution - Nicholas Britton

      Chapter Further Reading This chapter illustrate how discrete dynamical systems can be applied to problems in biology. For the reader interested in wider applications.