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Ultimate Numerical Bound Estimation of Chaotic Dynamical Finance Model

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Book cover Modern Mathematical Methods and High Performance Computing in Science and Technology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 171))

Abstract

This paper has investigated the boundedness of a 3D chaotic Dynamical Finance Model. We have discussed two bounds of this model. First by Lagrange multiplier method and second by optimization method. It was verified by using fmincon solver. Lyapunov Exponent calculated using Wolf algorithm and presented graphically in this paper. Lyapunov dimension of Dynamic Finance Model also discussed. Numerical simulations are presented to show the effectiveness of the proposed scheme.

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Authors and Affiliations

  1. Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi, 110007, India

    Dharmendra Kumar

  2. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Sachin Kumar

Authors
  1. Dharmendra Kumar
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  2. Sachin Kumar
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Corresponding author

Correspondence to Dharmendra Kumar .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Raj Kumar Goel Institute of Technology, Ghaziabad, Uttar Pradesh, India

    Vinai K. Singh

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H.M. Srivastava

  3. Dipartimento di Matematica, University of Turin, Torino, Italy

    Ezio Venturino

  4. High Performance Computing Center (HLRS), University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Michael Resch

  5. Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi, India

    Vijay Gupta

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© 2016 Springer Science+Business Media Singapore

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Kumar, D., Kumar, S. (2016). Ultimate Numerical Bound Estimation of Chaotic Dynamical Finance Model. In: Singh, V., Srivastava, H., Venturino, E., Resch, M., Gupta, V. (eds) Modern Mathematical Methods and High Performance Computing in Science and Technology. Springer Proceedings in Mathematics & Statistics, vol 171. Springer, Singapore. https://doi.org/10.1007/978-981-10-1454-3_6

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