References
- Schuster , HG and Just , W . 2005 . Deterministic Chaos , Weinheim : Wiley-VCH Verlag GmbH .
- Feigenbaum , MJ . 1978 . Quantitative universality for a class of nonlinear transformations . J. Stat. Phys. , 19 : 25 – 52 .
- Feigenbaum , MJ . 1979 . The universal metric properties of nonlinear transformations . J. Stat. Phys. , 21 : 669 – 706 .
- Lichtenberg , AJ and Lieberman , MA . 1982 . Regular and Stochastic Motion , Heidelberg : Springer-Verlag .
- Reichl , LE . 1992 . The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations , Berlin : Springer-Verlag .
- Chen , C , Györgyi , G and Schmidt , G . 1986 . Universal transition between Hamiltonian and dissipative chaos . Phys. Rev. A , 34 : 2568 – 2570 .
- Chen , C , Györgyi , G and Schmidt , G . 1987 . Universal scaling in dissipative systems . Phys. Rev. A , 35 : 2660 – 2668 .
- Kuznetsov , AP , Kuznetsov , SP and Sataev , IR . 1997 . A variety of period-doubling universality classes in multiparameter analysis of transition to chaos . Physica D , 109 : 91 – 112 .
- Zisook , AB . 1981 . Universal effects of dissipation in two-dimensional mappings . Phys. Rev. A , 24 : 1640 – 1642 .
- Reinout , G and Quispel , W . 1985 . Analytical crossover results for the Feigenbaum constants: Crossover from conservative to dissipative systems . Phys. Rev. A , 31 : 3924 – 3928 .
- Reick , C . 1992 . Universal corrections to parameter scaling in period-doubling systems: Multiple scaling and crossover . Phys. Rev. A , 45 : 777 – 792 .
- Kuznetsov , YuA and Levitin , VV . 1997 . CONTENT: A Multiplatform Environment for Analyzing Dynamical Systems , Amsterdam : Dynamical Systems Laboratory, Centrum voor Wiskunde en Informatica .
- Kuznetsov , AP , Kuznetsov , SP , Savin , AV and Savin , DV . 2008 . On the possibility for an autooscillatory system under external periodic drive action to exibit universal behavior characteristic of the transition to chaos via period-doubling bifurcations in conservative systems . Tech. Phys. Lett. , 34 : 985 – 988 .
- Kuznetsov , YuA . 1998 . Elements of Applied Bifurcation Theory , New York : Springer-Verlag .
- Gonchenko , VS , Kuznetsov , YuA and Meijer , HGE . 2005 . Generalized Hénon map and bifurcations of homoclinic tangencies . SIAM J. Appl. Dyn. Syst. , 4 : 407 – 436 .
- Champneys , AR , Harterich , J and Sandstede , B . 1996 . A non-transverse homoclinic orbit to a saddle-node equilibrium . Ergodic Theory Dyn. Syst. , 16 : 431 – 450 .
- Kim , SY . 1999 . Bicritical behavior of period doublings in unidirectionally coupled maps . Phys. Rev. E , 59 : 6585 – 6592 .