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1999 • 20,349 citations

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1976 • 3,714 citations

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1999 • 2,887 citations

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1999 • 2,647 citations

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2002 • 1,876 citations

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2002 • 1,792 citations

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2000 • 1,613 citations

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1996 • 1,386 citations

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2013 • 1,272 citations

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1986 • 1,188 citations

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1984 • 1,172 citations

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2004 • 899 citations

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1995 • 743 citations

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1991 • 732 citations

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1992 • 649 citations

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2004 • 644 citations

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2006 • 635 citations

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1998 • 528 citations

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2006 • 507 citations

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1984 • 487 citations

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2002 • 474 citations

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1971 • 466 citations

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1964 • 465 citations

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2000 • 440 citations

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2006 • 433 citations

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2000 • 419 citations

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2002 • 415 citations

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2005 • 350 citations

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2006 • 341 citations

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2004 • 310 citations

Shil'nikov's theorem-a tutorial

1993 • 290 citations

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1999 • 281 citations

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1996 • 273 citations

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1996 • 263 citations

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2005 • 252 citations

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2000 • 242 citations

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2006 • 241 citations

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1993 • 228 citations

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1996 • 224 citations

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2002 • 208 citations

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2006 • 207 citations

Experimental verification of multidirectional multiscroll chaotic attractors

2006 • 203 citations

The Formula of Faa Di Bruno

1980 • 187 citations

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2003 • 174 citations

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2006 • 138 citations

Mathematical methods in chemical engineering

1967 • 104 citations

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2006 • 104 citations

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2006 • 93 citations

Generalization of the formula of Faa di Bruno for a composite function with a vector argument

2000 • 74 citations

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1980 • 63 citations

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2005 • 59 citations

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2005 • 56 citations

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2002 • 43 citations

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2007 • 33 citations

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1975 • 13 citations

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2006 • 8 citations