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 141 articles )

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  1. Ghosh, Dibakar; Roy, Barnana: Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass (2015)
  2. Kecik, Krzysztof; Mitura, Andrzej; Sado, Danuta; Warminski, Jerzy: Magnetorheological damping and semi-active control of an autoparametric vibration absorber (2014)
  3. Ruzziconi, Laura; Younis, Mohammad I.; Lenci, Stefano: An electrically actuated imperfect microbeam: dynamical integrity for interpreting and predicting the device response (2013)
  4. Zhang, Yongxiang: Switching-induced Wada basin boundaries in the Hénon map (2013)
  5. Zhang, Yongxiang: Strange nonchaotic attractors with Wada basins (2013)
  6. Coelho, Leandro dos Santos; Mariani, Viviana Cocco: Firefly algorithm approach based on chaotic tinkerbell map applied to multivariable PID controller tuning (2012)
  7. Mu, Chunlai; Zhang, Fuchen; Shu, Yonglu; Zhou, Shouming: On the boundedness of solutions to the Lorenz-like family of chaotic systems (2012)
  8. Akroune, N.: On the dynamics of a perturbed holomorphic dynamical system (2011)
  9. Crass, Scott: New light on solving the sextic by iteration: an algorithm using reliable dynamics (2011)
  10. Ho, Jee-Hou; Nguyen, Van-Du; Woo, Ko-Choong: Nonlinear dynamics of a new electro-vibro-impact system (2011)
  11. Iñtilde, Manuel; Arrea: Chaotic pitch motion of a magnetic spacecraft with viscous drag in an elliptical polar orbit (2011)
  12. Kecik, Krzysztof; Warminski, Jerzy: Dynamics of an autoparametric pendulum-like system with a nonlinear semiactive suspension (2011)
  13. Li, Shuang; Li, Qian; Li, Jiaorui; Feng, Jinqian: Chaos prediction and control of Goodwin’s nonlinear accelerator model (2011)
  14. Mitsukura, Eiichi; Nishizawa, Yusuke: Simultaneous point bifurcations and bubbles for two-parameter family of cubic polynomials (2011)
  15. Yagasaki, Kazuyuki: Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers (2011)
  16. Olusola, O.I.; Vincent, U.E.; Njah, A.N.; Olowofela, J.A.: Bistability in coupled oscillators exhibiting synchronized dynamics (2010)
  17. Olusola, Olasunkanmi I.; Vincent, Uchechukwu E.; Njah, Abdulahi N.: Multi-stability and basin crisis in synchronized parametrically driven oscillators (2010)
  18. Yang, Caixia; Wu, Qiong: On stability analysis via Lyapunov exponents calculated from a time series using nonlinear mapping-a case study (2010)
  19. Chavarette, Fábio Roberto; Balthazar, José Manoel; Rafikov, Marat; Hermini, Helder Aníbal: On non-linear dynamics and an optimal control synthesis of the action potential of membranes (ideal and non-ideal cases) of the Hodgkin-Huxley (HH) mathematical model (2009)
  20. Chen, Hongkui; Xu, Qingyu: Bifurcations and chaos of an inclined cable (2009)

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