Dynamics

Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2” DOS Diskette. This program (and the accompanying handbook) is a tool to help visualize the properties of discrete and continuous dynamical systems, including the plotting of attractors, basins of attraction, the computing of straddle trajectories, the search for all periodic orbits of a specified period, bifurcation diagrams, the search for stable and unstable manifolds, the calculation of dimensions and Lyapunov exponents etc.par The program provides about 30 maps and differential equations to choose from (e.g., the logistic map, the Lorenz system or Chua’s circuit), one can play around with the parameters, but, unless one invests in an additional C compiler, one can not insert new equations.


References in zbMATH (referenced in 167 articles )

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  1. Lazarek, M.; Brzeski, P.; Solecki, W.; Perlikowski, P.: Detection and classification of solutions for systems interacting by soft impacts with sample-based method (2020)
  2. Edelev, A. V.; Zorkal’tsev, V. I.: An algorithm for determining optimal and suboptimal trajectories of the development of a system (2019)
  3. Iyengar, Sudharsana V.; Balakrishnan, Janaki: The (q)-deformed tinkerbell map (2018)
  4. Jiang, Tao; Yang, Zhi-Yan: Bifurcations and chaos in Mira 2 map (2017)
  5. Mateos, D. M.; Riveaud, L. E.; Lamberti, P. W.: Detecting dynamical changes in time series by using the Jensen Shannon divergence (2017)
  6. Dudkowski, Dawid; Jafari, Sajad; Kapitaniak, Tomasz; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Prasad, Awadhesh: Hidden attractors in dynamical systems (2016)
  7. Jakimowicz, Aleksander: Fundamental sources of economic complexity (2016)
  8. Settimi, Valeria; Rega, Giuseppe: Exploiting global dynamics of a noncontact atomic force microcantilever to enhance its dynamical robustness via numerical control (2016)
  9. Ghosh, Dibakar; Roy, Barnana: Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass (2015)
  10. Sprott, J. C.; Xiong, Anda: Classifying and quantifying basins of attraction (2015)
  11. Wang, Xiaodong; Chen, Yushu; Han, Gang; Song, Caiqin: Nonlinear dynamic analysis of a single-machine infinite-bus power system (2015)
  12. Crass, Scott: Dynamics of a soccer ball (2014)
  13. Kecik, Krzysztof; Mitura, Andrzej; Sado, Danuta; Warminski, Jerzy: Magnetorheological damping and semi-active control of an autoparametric vibration absorber (2014)
  14. Marszal, Michal; Jankowski, Krzysztof; Perlikowski, Przemyslaw; Kapitaniak, Tomasz: Bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation (2014)
  15. Upadhyay, Ranjit Kumar; Roy, Parimita: Spread of a disease and its effect on population dynamics in an eco-epidemiological system (2014)
  16. Coccolo, Mattia; Seoane, Jesús M.; Litak, Grzegorz; Sanjuán, Miguel A. F.: Phase control in the mass-spring model with nonsmooth stiffness and external excitation (2013)
  17. Ruzziconi, Laura; Younis, Mohammad I.; Lenci, Stefano: An electrically actuated imperfect microbeam: dynamical integrity for interpreting and predicting the device response (2013)
  18. Sánchez, Luis; Infante, Saba: Reconstruction of chaotic dynamic systems using non-linear filters (2013)
  19. Zhang, Yongxiang: Switching-induced Wada basin boundaries in the Hénon map (2013)
  20. Zhang, Yongxiang: Wada basins of strange nonchaotic attractors in a quasiperiodically forced system (2013)

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