Literature DB >> 11138061

Experimental observation of dynamics near the torus-doubling terminal critical point

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Abstract

A nonlinear electronic circuit driven by two signals with golden mean frequency ratio is studied. We have observed different dynamical regimes, including tori, doubled tori, strange nonchaotic attractors, and chaos, which all meet together at the critical point terminating the torus-doubling bifurcation curve (TDT point) in the parameter plane of the system. The parameter plane arrangement, spectra, and portraits of attractors observed in the experiment are in reasonable coincidence with numerical computations for a quasiperiodically forced logistic map, where the TDT critical point originally has been found and studied theoretically [S. Kuznetsov, A. Pikovsky, and U. Feudel, Phys. Rev. E 57, 1585 (1998)].

Entities:  

Year:  2000        PMID: 11138061     DOI: 10.1103/physreve.62.7828

Source DB:  PubMed          Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics        ISSN: 1063-651X


  1 in total

1.  New periodic-chaotic attractors in slow-fast Duffing system with periodic parametric excitation.

Authors:  Xianghong Li; Yongjun Shen; Jian-Qiao Sun; Shaopu Yang
Journal:  Sci Rep       Date:  2019-08-01       Impact factor: 4.379

  1 in total

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