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Volumn 84, Issue 3-4, 1996, Pages 713-733

Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures

Author keywords

Chaos; Collapse; Computation; Computer arithmetic; Computer artifact

Indexed keywords


EID: 0030210066     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02179655     Document Type: Article
Times cited : (13)

References (28)
  • 1
    • 0003068171 scopus 로고
    • Limit cycles in a quadratic discrete iteration
    • P. M. Binder, Limit cycles in a quadratic discrete iteration, Physica D 57( 1-2):31-38 (1992).
    • (1992) Physica D , vol.57 , Issue.1-2 , pp. 31-38
    • Binder, P.M.1
  • 3
    • 0000485974 scopus 로고
    • On a simple formula for random mappings and its applications
    • Y. D. Burtin, On a simple formula for random mappings and its applications, J. Appl. Prob. 17:403-414 (1980).
    • (1980) J. Appl. Prob. , vol.17 , pp. 403-414
    • Burtin, Y.D.1
  • 5
    • 0028126334 scopus 로고
    • An invariant masure arising in computer similar of a chaotic dynamical system
    • P. Diamond, P. Kloeden, and A. Pokrovskii, An invariant masure arising in computer similar of a chaotic dynamical system, J. Nonlinear Sci. 4:59-68 (1994).
    • (1994) J. Nonlinear Sci. , vol.4 , pp. 59-68
    • Diamond, P.1    Kloeden, P.2    Pokrovskii, A.3
  • 6
    • 0010677343 scopus 로고
    • Analysis of an algorithm for computing invariant measures
    • P. Diamond, P. Kloeden, and A. Pokrovskii, Analysis of an algorithm for computing invariant measures, Nonlinear Analysis TMA 24:323-336 (1994).
    • (1994) Nonlinear Analysis TMA , vol.24 , pp. 323-336
    • Diamond, P.1    Kloeden, P.2    Pokrovskii, A.3
  • 7
    • 0009253573 scopus 로고
    • Interval stochastic matrices and simulation of chaotic dynamics
    • P. Kloeden and K. J. Palmer, eds. American Mathemtical Society, Providence, Rhode Island
    • P. Diamond, P. Kloeden, and A. Pokrovskii, Interval stochastic matrices and simulation of chaotic dynamics, in Chaotic Numerics, P. Kloeden and K. J. Palmer, eds. (American Mathemtical Society, Providence, Rhode Island, 1994), pp. 203-216.
    • (1994) Chaotic Numerics , pp. 203-216
    • Diamond, P.1    Kloeden, P.2    Pokrovskii, A.3
  • 9
    • 0001294674 scopus 로고
    • Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre
    • P. Diamond, P. Kloeden, A. Pokrovskii, and A. Vladimirov, Collapsing effects in numerical simulation of a class of chaotic dynamical systems and random mappings with a single attracting centre, Physica D 86:559-571 (1995).
    • (1995) Physica D , vol.86 , pp. 559-571
    • Diamond, P.1    Kloeden, P.2    Pokrovskii, A.3    Vladimirov, A.4
  • 11
    • 0001558704 scopus 로고
    • The simulation of random processes on digital computers: Unavoidable order
    • T. Erber, N. F. Darsow, M. J. Frank, and T. M. Rynne, The simulation of random processes on digital computers: Unavoidable order, J. Comput. Phys. 49:394-419 (1983).
    • (1983) J. Comput. Phys. , vol.49 , pp. 394-419
    • Erber, T.1    Darsow, N.F.2    Frank, M.J.3    Rynne, T.M.4
  • 12
    • 0009173910 scopus 로고
    • The iterative evolution of complex systems
    • T. Erber and D. Gavelek, The iterative evolution of complex systems, Physica A 177:394-400 (1991).
    • (1991) Physica A , vol.177 , pp. 394-400
    • Erber, T.1    Gavelek, D.2
  • 14
    • 0041081169 scopus 로고
    • Shadowing and iterative interpolation for čebyšev mixing transformations
    • D. Gavelek and T. Erber, Shadowing and iterative interpolation for Čebyšev mixing transformations, J. Comput. Phys. 101:25-50 (1992).
    • (1992) J. Comput. Phys. , vol.101 , pp. 25-50
    • Gavelek, D.1    Erber, T.2
  • 15
    • 0002706835 scopus 로고
    • Epidemic processes on a random graph: Some preliminary results
    • I. B. Gerchbakh, Epidemic processes on a random graph: Some preliminary results, J. Appl. Prob. 14:427-438 (1977).
    • (1977) J. Appl. Prob. , vol.14 , pp. 427-438
    • Gerchbakh, I.B.1
  • 16
    • 33646981873 scopus 로고
    • On the characterization of strange attractors
    • P. Grassberger and I. Procaccia, On the characterization of strange attractors, Phys. Rev. Lett. 50:346-349 (1983).
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 346-349
    • Grassberger, P.1    Procaccia, I.2
  • 17
    • 35949008275 scopus 로고
    • Roundoff-induced periodicity and the correlation dimension of chaotic attractors
    • C. Grebogi, E. Ott, and J. A. Yorke, Roundoff-induced periodicity and the correlation dimension of chaotic attractors, Phys. Rev. A 34:3688-3692 (1988).
    • (1988) Phys. Rev. A , vol.34 , pp. 3688-3692
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 19
    • 0011337799 scopus 로고
    • Ergodic theory of one-dimensional mappings
    • AN SSSR, VINITI, Moscow, [in Russian]
    • M. V. Jakobson, Ergodic theory of one-dimensional mappings, in Sovremennye Problemy Matematiki. Fundamentalnye Napravlenija, Vol. 2 (AN SSSR, VINITI, Moscow, 1982), pp. 204-232 [in Russian].
    • (1982) Sovremennye Problemy Matematiki. Fundamentalnye Napravlenija , vol.2 , pp. 204-232
    • Jakobson, M.V.1
  • 23
    • 0002367988 scopus 로고
    • Some remarks about computer studies of dynamical systems
    • Y. E. Levy, Some remarks about computer studies of dynamical systems, Phys. Lett. 88A:1-3 (1982).
    • (1982) Phys. Lett. , vol.88 A , pp. 1-3
    • Levy, Y.E.1
  • 24
    • 0001324823 scopus 로고
    • Ergodic properties of the Lozi mappings
    • Y. E. Levy, Ergodic properties of the Lozi mappings, Commun. Math. Phys. 93:461-482 (1984).
    • (1984) Commun. Math. Phys. , vol.93 , pp. 461-482
    • Levy, Y.E.1
  • 28
    • 0001013065 scopus 로고
    • Random mappings with a single attracting centre
    • V. E. Stepanov, Random mappings with a single attracting centre, Theory Prob. Appl. 16:155-161 (1971).
    • (1971) Theory Prob. Appl. , vol.16 , pp. 155-161
    • Stepanov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.