1997

• 1.

  Borisov A. V., Simakov N. N.

  Period Doubling Bifurcation in Rigid Body Dynamics
  Regular and Chaotic Dynamics, 1997, vol. 2, no. 1, pp. 64-74
  Abstract          pdf  (926.92 Kb)

  Taking a classical problem of motion of a rigid body in a gravitational field as an example, we consider Feigenbaum's script for transition to stochasticity. Numerical results are obtained using Andoyer-Deprit's canonical variables. We calculate universal constants describing "doubling tree" self-duplication scaling. These constants are equal for all dynamical systems, which can be reduced to the study of area-preserving mappings of a plan onto itself. We show that stochasticity in Euler-Poisson equations can progress according to Feigenbaum's script under some restrictions on the parameters of our system.

  
  

  Citation:	Borisov A. V., Simakov N. N., Period Doubling Bifurcation in Rigid Body Dynamics, Regular and Chaotic Dynamics, 1997, vol. 2, no. 1, pp. 64-74
  DOI:	10.1070/RD1997v002n01ABEH000027
  Full text:	pdf (926.92 Kb)

  Journal Info

  Impact-factor WoS (2014):	0.860
  ISSN (print):	1560-3547
  ISSN (online):	1468-4845
  Site:	http://rcd.ics.org.ru/