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Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors pp 271–295Cite as

A New Chaotic Finance System: Its Analysis, Control, Synchronization and Circuit Design

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 133))

Abstract

This chapter announces a new chaotic finance system and show that it is a self-excited chaotic attractor. The phase portraits and qualitative properties of the new chaotic system are described in detail. An electronic circuit realization of the new chaotic finance system is carried out to verify the feasibility of the theoretical model. Next, this chapter examines the control and synchronization of the new chaotic financial system with uncertain parameters as well as known parameters using adaptive control and backstepping control techniques. The designed adaptive controller control and globally synchronizes two identical chaotic financial systems evolving from different initial conditions. The designed controller is capable of stabilizing the financial system at any position as well as controlling it to track any trajectory that is a smooth function of time. Numerical simulations are presented to demonstrate the feasibility of the proposed schemes.

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Author information

Authors and Affiliations

  1. Deparment of Physics, Lagos State University, Ojo, Lagos, Nigeria

    Babatunde A. Idowu

  2. Research and Development Centre, Vel Tech University, Avadi, Chennai, 600062, India

    Sundarapandian Vaidyanathan

  3. Department of Mechanical Engineering, Universitas Muhammadiyah, Tasikmalaya, Indonesia

    Aceng Sambas

  4. Department of Physics, University of Lagos, Akola, Lagos, Nigeria

    Olasunkanmi I. Olusola

  5. Nonlinear Dynamics Research Group, Department of Physics, Federal University of Agriculture, P.M.B. 2240, Abeokuta, Nigeria

    O. S. Onma

Authors
  1. Babatunde A. Idowu
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  2. Sundarapandian Vaidyanathan
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  3. Aceng Sambas
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  4. Olasunkanmi I. Olusola
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  5. O. S. Onma
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Corresponding author

Correspondence to Sundarapandian Vaidyanathan .

Editor information

Editors and Affiliations

  1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Vietnam

    Viet-Thanh Pham

  2. Research and Development Centre, Vel Tech University, Chennai, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  3. Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Christos Volos

  4. Division of Dynamics, Faculty of Mechanical Engineering, Lodz University of Technology, Łódź, Poland

    Tomasz Kapitaniak

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Idowu, B.A., Vaidyanathan, S., Sambas, A., Olusola, O.I., Onma, O.S. (2018). A New Chaotic Finance System: Its Analysis, Control, Synchronization and Circuit Design. In: Pham, VT., Vaidyanathan, S., Volos, C., Kapitaniak, T. (eds) Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors. Studies in Systems, Decision and Control, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-319-71243-7_12

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  • DOI: https://doi.org/10.1007/978-3-319-71243-7_12

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  • Online ISBN: 978-3-319-71243-7

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