e-book Noise in Nonlinear Dynamical Systems, Vol. 3: Experiments and Simulations

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May's deterministic chaos. Complexity produced by simplicity. Return map. Period doubling route to chaos. Bifurcation diagram. Feigenbaum number. Discrete dynamical systems. One-dimensional discrete system. Malthusian growth model. Logistic growth model. Self-similarity of the bifurcation structure. Other one-dimensional discrete dynamical systems. Two-dimensional discrete dynamical system. Competition between two species. Prey-predator relationship.

Continuous dynamical systems. Chaos of Lorenz System. Lorenz equation. Lorenz attractor. Chaos of Duffing's Equation. Duffing's Equation. Ueda's Chaos Attractor. Chapter 3. Analysis of Chaotic Data. Chaos time-series analysis. Spectral analysis.


  1. Theory and Design of Charged Particle Beams.
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  3. Nonlinear Dynamics and Chaos in Agricultural Systems, Volume 12 - 1st Edition.
  4. Analogue simulation of quantum mechanical systems?

Delay coordinate embedding. Correlation dimension.

Introduction

Deterministic nonlinear prediction. Reconstruction of dynamics. Concept of prediction. Practice of prediction. Response surface methodology.

Numerical experiments

Hassell's analysis. RSM analysis. Chapter 4. Dynamics of a weed community. Life table of a weed community. Density dependence of weeds. Nonlinear dynamics in weed population. Linear dynamical system. Grass-litter dynamics. Chapter 5. Models of masting and alternate bearing. Isagi's paradigm. Resource budget model. Simulated population dynamics. Two dimensional resource budget model. Reconstruction of dynamics by RSM. Applications to acorn data. Application to citrus dynamics. Controlling chaos and fruit thinning.


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  • One dimensional system. Two dimensional system. Control without noise. Control when the stable point estimation involves errors.

    Nonlinear Dynamics and Chaos in Agricultural Systems, Volume 12

    Chapter 6. Weed-Tillage Dynamics. Basic concept of weed-tillage dynamics. The simplest model. The model incorporating field practice. The model incorporating density effect. The k state variables model. Numerical experiments. Tillage transform parameters. Biological parameters. Results and discussions. Chapter 7. Chaotic Vibrations in Agricultural Machinery. Chaos in a vibrating subsoiler.

    Materials and methods. Bifurcation when changing the forcing frequency. Periodic vibration. Period-doubling vibration. Chaotic vibration. Largest lyapunov exponents. Deterministic nonlinear prediction on the time-series of the acceleration. Theoretical investigations of nonlinear dynamics in a farm tractor. Mathematical model of bouncing tractor. Numerical simulations. Period doubling vibration. Cupertino, F. Das, S. De Craene, M. Dippon, J. El Moumen, S. Fedin, D. Flaxman, A. Fu, M.

    Introduction to System Dynamics: Overview

    Michaletzky, eds. Gosavi, A. Graf, M. Granichin, O. Granichin O. Grigaitis D. Grote, D. Gu, W. Hao, L. He, Y. C, and Marcus, S. Hill, S. Alexopoulos, K. Kang, W. Lilegdon, and D. Goldsman, pp. Hopkins, H. Hu, J. Hutchison, D. Ji, X. Johannsen, D. Kiranyaz, S. Kizito, R. Kleinman, N. Klie, H. Koch, M. Kocsis, L. Kong, X. Kothandaraman, G. Lambert, P.

    Luman, R. Ma, J. Madan, D. Maeda, Y. Maeda Y. Lauderdale, FL, pp. Martin, S. Maryak, J. Medeiros and E. Watson, eds. Merhof, D. Mishra, V. Mostaghimi, M. Nandi, S. Nechyba, M. Nusawardhana, N. Palumbo, N. Patan, K. Popovic, D. Poyiadjis, G. Primavera, A. Ramanathan, S. Reardon, B. Renjifo, C. Renotte, C. Rezayat, F. Sadegh, P. Schwartz, J. Sethares, W. Shekar, S. Sidorov, K. Song, J. Song, Q. Spall, J. Tew, M. Manivannan, D. Sadowski, and A. Seila, eds. C and Chin, D. Srinivasan, D.

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      Chaos theory - Wikipedia

      Vande Wouwer, A. Velusamy, S. Venkatesh, Y. Vitsentiy, V. Vorontsov, M. Wang, I. Wang, L. Wang, Q. Webster, T. Weyrauch, T. Whitney, J. Xing, X. Xiong, X. Jin and S.