메뉴 건너뛰기




Volumn 19, Issue 2, 2004, Pages 127-144

On the structure of attractors and invariant measures for a class of monotone random systems

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; SET THEORY; WHITE NOISE;

EID: 2942582414     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/1468936042000207792     Document Type: Article
Times cited : (74)

References (35)
  • 2
    • 0032165082 scopus 로고    scopus 로고
    • Order-preserving random dynamical systems: Equilibria, attractors and applications
    • Arnold, L., and Chueshov, I., 1998, Order-preserving random dynamical systems: equilibria, attractors and applications. Dynamics and Stability of Systems, 13, 265-280.
    • (1998) Dynamics and Stability of Systems , vol.13 , pp. 265-280
    • Arnold, L.1    Chueshov, I.2
  • 3
    • 0001609221 scopus 로고
    • Criteria for recurrence and existence of invariant measures for multidimensional diffusions
    • Bhattacharya, R. N., 1978, Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Annals of Probability, 6, 541-553.
    • (1978) Annals of Probability , vol.6 , pp. 541-553
    • Bhattacharya, R.N.1
  • 5
    • 0001697489 scopus 로고    scopus 로고
    • Gevrey regularity of random attractors for stochastic reaction-diffusion equations
    • Chueshov, I., 2000, Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Random Operators and Stochastic Equations, 8, 143-162.
    • (2000) Random Operators and Stochastic Equations , vol.8 , pp. 143-162
    • Chueshov, I.1
  • 8
    • 0002057037 scopus 로고    scopus 로고
    • Global random attractors are uniquely determined by attracting deterministic compact sets
    • Crauel, H., 1999, Global random attractors are uniquely determined by attracting deterministic compact sets. Annali di Matematica pura ed applicata, 176, 57-72.
    • (1999) Annali di Matematica Pura ed Applicata , vol.176 , pp. 57-72
    • Crauel, H.1
  • 9
    • 0034551451 scopus 로고    scopus 로고
    • White noise eliminates instability
    • Crauel, H., 2000, White noise eliminates instability. Arch. Math., 75, 472-480.
    • (2000) Arch. Math. , vol.75 , pp. 472-480
    • Crauel, H.1
  • 13
    • 0003015955 scopus 로고    scopus 로고
    • Bifurcations of one-dimensional stochastic differential equations
    • Conference on Random Dynamical Systems, Bremen, Germany, 28 April - 2 May 1997, edited by H. Crauel and M. Gundlach (Berlin: Springer)
    • Crauel, H., Imkeller, P., and Steinkamp, M., 1999, Bifurcations of one-dimensional stochastic differential equations. In Stochastic Dynamics, Conference on Random Dynamical Systems, Bremen, Germany, 28 April - 2 May 1997, edited by H. Crauel and M. Gundlach (Berlin: Springer), pp. 27-47.
    • (1999) Stochastic Dynamics , pp. 27-47
    • Crauel, H.1    Imkeller, P.2    Steinkamp, M.3
  • 16
    • 0000885375 scopus 로고
    • Systems of differential equations that are competitive or cooperative, I: Limit sets
    • Hirsch, M. W., 1982, Systems of differential equations that are competitive or cooperative, I: Limit sets. SIAM Journal on Mathematical Analysis, 13, 167-179.
    • (1982) SIAM Journal o Mathematical Analysis , vol.13 , pp. 167-179
    • Hirsch, M.W.1
  • 18
    • 0001176145 scopus 로고
    • Systems of differential that are competitive or cooperative, II: Convergence almost everywhere
    • Hirsch, M. W., 1985, Systems of differential that are competitive or cooperative, II: Convergence almost everywhere. SIAM Journal on Mathematical Analysis, 423-439.
    • (1985) SIAM Journal on Mathematical Analysis , pp. 423-439
    • Hirsch, M.W.1
  • 19
    • 33745815315 scopus 로고
    • Stability and convergence in strongly monotone dynamical systems
    • Hirsch, M. W., 1988, Stability and convergence in strongly monotone dynamical systems. Journal fur die Reine and Angewand Mathematik, 383, 1-53.
    • (1988) Journal fur die Reine and Angewand Mathematik , vol.383 , pp. 1-53
    • Hirsch, M.W.1
  • 26
    • 0004264568 scopus 로고    scopus 로고
    • Institut für Dynamische Systeme, Universität Bremen, Report 449
    • Ochs, G., 1999, Weak Random Attractors. Institut für Dynamische Systeme, Universität Bremen, Report 449.
    • (1999) Weak Random Attractors
    • Ochs, G.1
  • 28
    • 0021384674 scopus 로고
    • Qualitative behaviour of stochastic delay equations with a bounded memory
    • Scheutzow, M., 1984, Qualitative behaviour of stochastic delay equations with a bounded memory. Stochastics, 12, 41-80.
    • (1984) Stochastics , vol.12 , pp. 41-80
    • Scheutzow, M.1
  • 30
    • 0036005048 scopus 로고    scopus 로고
    • Comparison of various concepts of a random attractor: A case study
    • Scheutzow, M., 2002, Comparison of various concepts of a random attractor: a case study. Archiv der Mathematik, 78, 233-240.
    • (2002) Archiv der Mathematik , vol.78 , pp. 233-240
    • Scheutzow, M.1
  • 32
    • 0001882182 scopus 로고
    • Asymptotic behavior of solutions to single loop positive feedback systems
    • Selgrade, J., 1980, Asymptotic behavior of solutions to single loop positive feedback systems. Journal of Differential Equations, 38, 80-103.
    • (1980) Journal of Differential Equations , vol.38 , pp. 80-103
    • Selgrade, J.1
  • 34
    • 84967728255 scopus 로고
    • Generation of analytical semigroups by strongly elliptic operators under general boundary conditions
    • Stewart, H. B., 1980, Generation of analytical semigroups by strongly elliptic operators under general boundary conditions. Transactions of the American Mathematical Society, 259, 299-310.
    • (1980) Transactions of the American Mathematical Society , vol.259 , pp. 299-310
    • Stewart, H.B.1
  • 35
    • 0012699546 scopus 로고    scopus 로고
    • The structure of an attracting set defined by delayed and monotone positive feedback
    • Tibor, T., Walther, H.-O., and Wu, J., 1999, The structure of an attracting set defined by delayed and monotone positive feedback. CWI Quarterly, 12, 315-327.
    • (1999) CWI Quarterly , vol.12 , pp. 315-327
    • Tibor, T.1    Walther, H.-O.2    Wu, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.