Beyond the Li-Yorke Definition of Chaos

[1]  Guanrong Chen,et al.  Discrete chaos in Banach spaces , 2005 .

[2]  Guanrong Chen,et al.  Chaos of discrete dynamical systems in complete metric spaces , 2004 .

[3]  Changpin Li,et al.  An improved version of the Marotto Theorem , 2003 .

[4]  Ian Stewart,et al.  Mathematics: The Lorenz attractor exists , 2000, Nature.

[5]  W. Tucker.  The Lorenz attractor exists , 1999 .

[6]  Sze-Bi Hsu,et al.  Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span , 1998 .

[7]  P. Kloeden,et al.  Metric Spaces Of Fuzzy Sets Theory And Applications , 1975 .

[8]  Michel Vellekoop,et al.  On Intervals, Transitivity = Chaos , 1994 .

[9]  Robert L. Devaney,et al.  A First Course In Chaotic Dynamical Systems: Theory And Experiment , 1993 .

[10]  C. P. Silva,et al.  Shil'nikov's theorem-a tutorial , 1993 .

[11]  J. Banks,et al.  On Devaney's definition of chaos , 1992 .

[12]  Peter E. Kloeden.  Chaotic iterations of fuzzy sets , 1991 .

[13]  P. Kloeden,et al.  Metric spaces of fuzzy sets , 1990 .

[14]  R. Devaney.  An Introduction to Chaotic Dynamical Systems , 1990 .

[15]  Osmo Kaleva,et al.  On the convergence of fuzzy sets , 1985 .

[16]  Peter E. Kloeden,et al.  Chaotic difference equations in Rn , 1981 .

[17]  Masahiro Kurata,et al.  A generalization of a theorem of marotto , 1981, Nagoya Mathematical Journal.

[18]  On Sharkovsky's cycle coexistence ordering , 1979, Bulletin of the Australian Mathematical Society.

[19]  F. R. Marotto.  Snap-back repellers imply chaos in Rn , 1978 .

[20]  J. Guckenheimer,et al.  The dynamics of density dependent population models , 1977, Journal of mathematical biology.

[21]  PETER KLOEDEN,et al.  A precise definition of chaos , 1976, Nature.

[22]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

[23]  M. Hénon,et al.  A two-dimensional mapping with a strange attractor , 1976 .

[24]  Phil Diamond.  Chaotic behaviour of systems of difference equations , 1976 .

[25]  Mary L. Boas,et al.  A New Use for an Old Counterexample , 1975 .

[26]  S. Smale.  Differentiable dynamical systems , 1967 .

[27]  А. Н. Шарковскуй.  О циклах и структуре непрерынвного отображения , 1965 .