References
- Choi , T. , Kim , S. and Lee , K. 2006 . Weak inverse shadowing and genericity . Bull. Korean Math. Soc. , 43 : 43 – 52 .
- Corless , R.M. and Yu Pilyugin , S. 1995 . Approximate and real trajectories for generic dynamical systems . J. Math. Anal. Appl. , 189 : 409 – 423 .
- Gidea , M. and Zgliczyński , P. 2004 . Covering relations for multidimensional dynamical systems . J. Differential Equations , 202 : 32 – 58 .
- Gidea , M. and Zgliczyński , P. 2004 . Covering relations for multidimensional dynamical systems. II . J. Differential Equations , 202 : 59 – 80 .
- Kirchgraber , U. , Manz , U. and Stoffer , D. 2000 . Rigorous proof of chaotic behaviour in a dumbbell satellite model . J. Math. Anal. Appl. , 251 : 897 – 911 .
- Kirchgraber , U. and Stoffer , D. 2004 . Possible chaotic motion of comets in the Sun–Jupiter system – a computer-assisted approach based on shadowing . Nonlinearity , 17 : 281 – 300 .
- Kloeden , P.E. and Ombach , J. 1997 . Hyperbolic homeomorphisms are bishadowing . Ann. Polon. Math. , 65 : 171 – 177 .
- Kościelniak , P. 2005 . On genericity of shadowing and periodic shadowing property . J. Math. Anal. Appl. , 310 : 188 – 196 .
- Kościelniak , P. and Mazur , M. 2005 . On C 0 genericity of various shadowing properties . Discrete Contin. Dynam. Syst. , 12 : 523 – 530 .
- Kościelniak , P. and Mazur , M. 2007 . Chaos and the shadowing property . Topol. Appl. , 154 : 2553 – 2557 .
- Mazur , M. 2003 . Tolerance stability conjecture revisited . Topol. Appl. , 131 : 33 – 38 .
- Mazur , M. 2003 . Weak shadowing for discrete dynamical systems on nonsmooth manifolds . J. Math. Anal. Appl. , 281 : 657 – 662 .
- Odani , K. 1990 . Generic homeomorphisms have the pseudo-orbit tracing property . Proc. Amer. Math. Soc. , 110 : 281 – 284 .
- Palmer , K. 2000 . Shadowing in dynamical systems. Theory and applications , Dordrecht : Kluwer Academic Publishers .
- Yu Pilyugin , S. 2002 . Inverse shadowing by continuous methods . Discrete Contin. Dynam. Syst. , 8 : 29 – 38 .
- Yu Pilyugin , S. and Plamenevskaya , O.B. 1999 . Shadowing is generic . Topol. Appl. , 97 : 253 – 266 .
- Stoffer , D. and Kirchgraber , U. 2001 . Verification of chaotic behaviour in the planar restricted three body problem . Appl. Numer. Math. , 39 : 415 – 433 .
- Stoffer , D. and Palmer , K. 1999 . Rigorous verification of chaotic behaviour of maps using validated shadowing . Nonlinearity , 12 : 1683 – 1698 .
- Takens , F. 1971 . On Zeeman's tolerance stability conjecture , Lecture Notes in Mathematics Vol. 197 , 209 – 219 . Berlin : Springer .