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Dynamics Control of the Complex Systems via Nondifferentiability

Author

Listed:
  • Carmen Nejneru
  • Anca Nicuţă
  • Boris Constantin
  • Liliana Rozemarie Manea
  • Mirela Teodorescu
  • Maricel Agop

Abstract

A new topic in the analyses of complex systems dynamics, considering that the movements of complex system entities take place on continuum but nondifferentiable curves, is proposed. In this way, some properties of complex systems (barotropic‐type behaviour, self‐similarity behaviour, chaoticity through turbulence and stochasticization, etc.) are controlled through nondifferentiability of motion curves. These behaviours can simulate the standard properties of the complex systems (emergence, self‐organization, adaptability, etc.).

Suggested Citation

  • Carmen Nejneru & Anca Nicuţă & Boris Constantin & Liliana Rozemarie Manea & Mirela Teodorescu & Maricel Agop, 2013. "Dynamics Control of the Complex Systems via Nondifferentiability," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:137056
    DOI: 10.1155/2013/137056
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    References listed on IDEAS

    as
    1. Viswanathan, G.M & Bartumeus, F & V. Buldyrev, Sergey & Catalan, J & Fulco, U.L & Havlin, Shlomo & da Luz, M.G.E & Lyra, M.L & Raposo, E.P & Eugene Stanley, H, 2002. "Lévy flight random searches in biological phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 208-213.
    2. Kun Yuan & Jinde Cao & Shumin Fei, 2012. "Synchronization of Coupled Networks with Mixed Delays by Intermittent Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. James B. Polly & J. M. McDonough, 2012. "Application of the Poor Man's Navier-Stokes Equations to Real-Time Control of Fluid Flow," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, September.
    4. Jianxiong Zhang & Wansheng Tang, 2012. "Optimal Control for a Class of Chaotic Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Kun Yuan & Jinde Cao & Shumin Fei, 2012. "Synchronization of Coupled Networks with Mixed Delays by Intermittent Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, July.
    6. Jianxiong Zhang & Wansheng Tang, 2012. "Optimal Control for a Class of Chaotic Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-20, April.
    7. Elena Simona Bacaita & Costica Bejinariu & Borsos Zoltan & Catalina Peptu & Gabriela Andrei & Marcel Popa & Daniela Magop & Maricel Agop, 2012. "Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-26, September.
    8. Elena Simona Bacaita & Costica Bejinariu & Borsos Zoltan & Catalina Peptu & Gabriela Andrei & Marcel Popa & Daniela Magop & Maricel Agop, 2012. "Nonlinearities in Drug Release Process from Polymeric Microparticles: Long‐Time‐Scale Behaviour," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    9. James B. Polly & J. M. McDonough, 2012. "Application of the Poor Man′s Navier‐Stokes Equations to Real‐Time Control of Fluid Flow," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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