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Continuous Dynamical Systems

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An Introduction to Dynamical Systems and Chaos

Abstract

Dynamics is a time-evolutionary process. It may be deterministic or stochastic. Long-term predictions of some systems often become impossible. Even their trajectories cannot be represented by usual geometry.

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References

  1. Arrowsmith, D.K., Place, L.M.: Dynamical Systems: Differential equations, Maps, and Chaotic Behaviour. Chapman and Hall/CRC (1992)

    Google Scholar 

  2. Lakshmanan, M., Rajasekar, S.: Nonlinear Dynamics: Integrability, Chaos and Patterns. Springer, 2003.

    Google Scholar 

  3. Coddington, E.A., Levinson, N.: Theory of Ordinary Differential Equations. McGraw Hill, New York (1955)

    Google Scholar 

  4. Arnold, V.I.: Ordinary Differential Equations. MIT Press, Cambridge, MA (1973)

    Google Scholar 

  5. Strogatz, S.H.: Nonlinear Dynamics and Chaos with application to physics, biology, chemistry and engineering. Perseus books, L.L.C, Massachusetts (1994)

    Google Scholar 

  6. Glendinning, P.: Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations. Cambridge University Press. 1994

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  7. Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd edn. Springer (2003)

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  8. Ruelle, D.: Elements of Differentiable dynamics and Bifurcation Theory. Academic Press, New York (1989)

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  9. Gluckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer (1983)

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Correspondence to G. C. Layek .

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Layek, G.C. (2015). Continuous Dynamical Systems. In: An Introduction to Dynamical Systems and Chaos. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2556-0_1

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