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Volumn 11, Issue 5, 2006, Pages 555-576

How the choice of the observable may influence the analysis of nonlinear dynamical systems

Author keywords

Chaotic attractors; Nonlinear dynamical systems; Observability

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; DIFFERENTIAL EQUATIONS; ESTIMATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OBSERVABILITY; POLYNOMIALS; THEOREM PROVING;

EID: 28444439205     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2005.01.003     Document Type: Article
Times cited : (37)

References (19)
  • 1
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • F. Takens Detecting strange attractors in turbulence Lect Notes Math 898 1981 366-381
    • (1981) Lect. Notes Math. , vol.898 , pp. 366-381
    • Takens, F.1
  • 2
    • 0036710131 scopus 로고    scopus 로고
    • Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables
    • C. Letellier L.A. Aguirre Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables Chaos 12 2002 549-558
    • (2002) Chaos , vol.12 , pp. 549-558
    • Letellier, C.1    Aguirre, L.A.2
  • 3
    • 0029251476 scopus 로고
    • Controllability and observability of linear systems: Some noninvariant aspects
    • L.A. Aguirre Controllability and observability of linear systems: Some noninvariant aspects IEEE Trans. Educ 38 1995 33-39
    • (1995) IEEE Trans. Educ. , vol.38 , pp. 33-39
    • Aguirre, L.A.1
  • 4
    • 0032475780 scopus 로고    scopus 로고
    • On the non-equivalence of observables in phase space reconstructions from recorded time series
    • C. Letellier J. Maquet L. Le Sceller G. Gouesbet L.A. Aguirre On the non-equivalence of observables in phase space reconstructions from recorded time series J Phys A 31 1998 7913-7927
    • (1998) J. Phys. A , vol.31 , pp. 7913-7927
    • Letellier, C.1    Maquet, J.2    Le Sceller, L.3    Gouesbet, G.4    Aguirre, L.A.5
  • 6
    • 0042075109 scopus 로고
    • Retrieving dynamical invariants from chaotic data using NARMAX models
    • L.A. Aguirre S.A. Billings Retrieving dynamical invariants from chaotic data using NARMAX models Int J Bifurc Chaos 5 2 1995 449-474
    • (1995) Int. J. Bifurc. Chaos , vol.5 , Issue.2 , pp. 449-474
    • Aguirre, L.A.1    Billings, S.A.2
  • 8
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feedback
    • K. Pyragas Continuous control of chaos by self-controlling feedback Phys Lett A 170 1990 421-428
    • (1990) Phys. Lett. A , vol.170 , pp. 421-428
    • Pyragas, K.1
  • 9
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L.M. Pecora T.L. Carroll Synchronization in chaotic systems Phys Rev Lett 64 8 1990 821-824
    • (1990) Phys. Rev. Lett. , vol.64 , Issue.8 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 10
    • 0036525993 scopus 로고    scopus 로고
    • Should all the species of a food chain be counted to investigate the global dynamics?
    • C. Letellier L.A. Aguirre J. Maquet M. Aziz-Alaoui Should all the species of a food chain be counted to investigate the global dynamics? Chaos, Solitons & Fractals 13 2002 1099-1113
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 1099-1113
    • Letellier, C.1    Aguirre, L.A.2    Maquet, J.3    Aziz-Alaoui, M.4
  • 11
    • 2342650786 scopus 로고    scopus 로고
    • Scalar modeling and analysis of a 3D biochemical reaction model
    • J. Maquet C. Letellier L.A. Aguirre Scalar modeling and analysis of a 3D biochemical reaction model J Theor Biol 228 3 2004 421-430
    • (2004) J. Theor. Biol. , vol.228 , Issue.3 , pp. 421-430
    • Maquet, J.1    Letellier, C.2    Aguirre, L.A.3
  • 12
    • 0003792312 scopus 로고
    • Linear systems
    • NJ, Prentice Hall: Englewood Cliffs
    • T. Kailath Linear systems 1980 Englewood Cliffs NJ, Prentice Hall
    • (1980)
    • Kailath, T.1
  • 14
    • 85196159710 scopus 로고    scopus 로고
    • Controllability of dynamical systems. 7th conference on dynamical systems - Theory and applications (Łódź)
    • 8-11. Décembre
    • Klamka J. Controllability of dynamical systems. 7th conference on dynamical systems - theory and applications (Łódź), In: Proceedings (Décembre 2003), vol. I, p. 37-56, 8-11.
    • (2003) Proceedings , vol.1 , pp. 37-56
    • Klamka, J.1
  • 15
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • O.E. Rössler An equation for continuous chaos Phys Lett A 57 5 1976 397-398
    • (1976) Phys. Lett. A , vol.57 , Issue.5 , pp. 397-398
    • Rössler, O.E.1
  • 17
    • 0041661962 scopus 로고    scopus 로고
    • Global modeling of the Rössler system from the z-variable
    • C. Lainscsek C. Letellier I. Gorodnitsky Global modeling of the Rösslr system from the z-variable Phys Lett A 314 5-6 2003 409
    • (2003) Phys. Lett. A , vol.314 , Issue.5-6 , pp. 409
    • Lainscsek, C.1    Letellier, C.2    Gorodnitsky, I.3
  • 18
    • 0036489708 scopus 로고    scopus 로고
    • Control of long-period orbits and arbitrary trajectories in chaotic systems using dynamics limiting
    • N.J. Corron S.D. Pethel Control of long-period orbits and arbitrary trajectories in chaotic systems using dynamics limiting Chaos 12 1 2002 1-7
    • (2002) Chaos , vol.12 , Issue.1 , pp. 1-7
    • Corron, N.J.1    Pethel, S.D.2
  • 19
    • 36448999925 scopus 로고
    • Unstable periodic orbits and templates of the Rössler system: Toward a systematic topological characterization
    • C. Letellier P. Dutertre B. Maheu Unstable periodic orbits and templates of the Rössler system: Toward a systematic topological characterization Chaos 5 1 1995 272-281
    • (1995) Chaos , vol.5 , Issue.1 , pp. 272-281
    • Letellier, C.1    Dutertre, P.2    Maheu, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.