Discrete Dynamical Systems

  • G. c. LayekEmail author


So far we have discussed the dynamics of continuous systems. An evolutionary process may also be expressed mathematically as discrete steps in time. Discrete systems are described by maps (difference equations). The composition of map generates the dynamics or flow of a discrete system.


mapsMaps dynamicsDynamics Cobweb Diagram Fixed Point Origin Periodic Points 
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.


  1. 1.
    Devaney, R.L.: A First Course in Chaotic Dynamical Systems: Theory and Experiment. Westview Press, Cambridge (1992)Google Scholar
  2. 2.
    Devaney, R.L.: An Introduction to Chaotic Dynamical Systems. Westview Press, Cambridge (2003)Google Scholar
  3. 3.
    Holmgren, R.A.: A First Course in Discrete Dynamical Systems. Springer, New York (1994)Google Scholar
  4. 4.
    Alligood, K.T., Sauer, T.D., Yorke, J.A.: Chaos: An Introduction to Dynamical Systems. Springer, New York (1997)Google Scholar
  5. 5.
    Sharkovsky, A.N., Kolyada, S.F., Sivak, A.G., Fedorenko, V.V.: Dynamics of One-Dimensional Maps. Springer, B. V. (1997)Google Scholar
  6. 6.
    Medio, A., Lines M. Nonlinear Dynamics: A Primer. Cambridge University Press, Cambridge, (2001)Google Scholar
  7. 7.
    Robinson, R.C.: An introduction to dynamical systems: continuous and discrete. American Mathematical Society, 2012.Google Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  1. 1.Department of MathematicsThe University of BurdwanBardhamanIndia

Personalised recommendations