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Volumn 91, Issue 1, 1997, Pages 3-32

Grammatical description of behaviors of ordinary differential equations in two-dimensional phase space

Author keywords

Dynamical systems theory; Flow grammar; Flow mapping; Intelligent scientific computation; Qualitative reasoning

Indexed keywords

COMPUTATIONAL GRAMMARS; COMPUTATIONAL METHODS; PHASE SPACE METHODS; SYSTEM THEORY;

EID: 0031099667     PISSN: 00043702     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0004-3702(96)00055-0     Document Type: Article
Times cited : (6)

References (11)
  • 1
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    • J. Doyle and E.P. Sacks, Stochastic analysis of qualitative dynamics, in: Proceedings IJCA1-89, Detroit, MI (1989) 1187-1192.
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    • Doyle, J.1    Sacks, E.P.2
  • 4
    • 84990626730 scopus 로고
    • Non-intersection of trajectories in qualitative phase space: A global constraint for qualitative simulation
    • St. Paul, MN
    • W.W. Lee and B.J. Kuipers, Non-intersection of trajectories in qualitative phase space: a global constraint for qualitative simulation, in: Proceedings AAAI-88, St. Paul, MN (1988) 286-290.
    • (1988) Proceedings AAAI-88 , pp. 286-290
    • Lee, W.W.1    Kuipers, B.J.2
  • 5
    • 0023978068 scopus 로고
    • A process-grammar for shape
    • M. Leyton, A process-grammar for shape, Artif. Intell. 34 (1988) 213-247.
    • (1988) Artif. Intell. , vol.34 , pp. 213-247
    • Leyton, M.1
  • 6
    • 0042743618 scopus 로고
    • A geometric approach to total envisioning
    • Sydney
    • T. Nishida and S. Doshita, A geometric approach to total envisioning, in: Proceedings IJCAI-91, Sydney (1991) 1150-1155.
    • (1991) Proceedings IJCAI-91 , pp. 1150-1155
    • Nishida, T.1    Doshita, S.2
  • 7
    • 85158127119 scopus 로고
    • Automated phase portrait analysis by integrating qualitative and quantitative analysis
    • Anaheim, CA
    • T. Nishida, K. Mizutani, A. Kubota and S. Doshita, Automated phase portrait analysis by integrating qualitative and quantitative analysis, in: Proceedings AAAI-91, Anaheim, CA (1991) 811-816.
    • (1991) Proceedings AAAI-91 , pp. 811-816
    • Nishida, T.1    Mizutani, K.2    Kubota, A.3    Doshita, S.4
  • 8
    • 0029309218 scopus 로고
    • Qualitative analysis of behavior of systems of piecewise linear differential equations with two state variables
    • T. Nishida and S. Doshita, Qualitative analysis of behavior of systems of piecewise linear differential equations with two state variables, Artif. Intell. 75 (1995) 3-29.
    • (1995) Artif. Intell. , vol.75 , pp. 3-29
    • Nishida, T.1    Doshita, S.2
  • 9
    • 0026104126 scopus 로고
    • Automatic analysis of one-parameter planar ordinary differential equations by intelligent numeric simulation
    • E.P. Sacks, Automatic analysis of one-parameter planar ordinary differential equations by intelligent numeric simulation, Artif. Intell. 48 (1991) 27-56.
    • (1991) Artif. Intell. , vol.48 , pp. 27-56
    • Sacks, E.P.1
  • 10
    • 85033515878 scopus 로고
    • Global filters for qualitative behaviors
    • St. Paul, MN
    • P. Struss, Global filters for qualitative behaviors, in: Proceedings AAAI-88, St. Paul, MN (1988) 275-279.
    • (1988) Proceedings AAAI-88 , pp. 275-279
    • Struss, P.1
  • 11
    • 85032554657 scopus 로고
    • Generating global behaviors using deep knowledge of local dynamics
    • St. Paul, MN
    • K.M.-K. Yip, Generating global behaviors using deep knowledge of local dynamics, in: Proceedings AAAI-88, St. Paul, MN (1988) 280-285.
    • (1988) Proceedings AAAI-88 , pp. 280-285
    • Yip, K.M.-K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.