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Volumn 74, Issue 7, 2011, Pages 2695-2719

Dynamics of a class of ODEs more general than almost periodic

Author keywords

Almost automorphic solution; Almost periodic solution; Periodic solution; Pullback attractor; Sequential set; Stable manifold; Unstable manifold

Indexed keywords

ALMOST AUTOMORPHIC SOLUTION; ALMOST PERIODIC SOLUTIONS; PERIODIC SOLUTION; PULLBACK ATTRACTORS; SEQUENTIAL SET; STABLE MANIFOLD; UNSTABLE MANIFOLD;

EID: 79951676504     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2010.12.025     Document Type: Article
Times cited : (27)

References (42)
  • 1
    • 0042589970 scopus 로고
    • Almost periodic properties of ordinary differential equations
    • W.A. Coppel Almost periodic properties of ordinary differential equations Ann. Mat. Pura Appl. (4) 76 1967 27 49
    • (1967) Ann. Mat. Pura Appl. (4) , vol.76 , pp. 27-49
    • Coppel, W.A.1
  • 3
    • 0003233070 scopus 로고
    • Almost Periodic Differential Equations
    • Springer-Verlag Berlin
    • A.M. Fink Almost Periodic Differential Equations Springer Lecture Notes Math. vol. 377 1974 Springer-Verlag Berlin
    • (1974) Springer Lecture Notes Math. , vol.377
    • Fink, A.M.1
  • 4
    • 0003983811 scopus 로고
    • second ed. Krieger Publishing Co. Huntington, New York
    • J.K. Hale Ordinary Differential Equations second ed. 1980 Krieger Publishing Co. Huntington, New York
    • (1980) Ordinary Differential Equations
    • Hale, J.K.1
  • 6
    • 84966204365 scopus 로고
    • A linear, almost periodic equation with an almost automorphic solution
    • R.A. Johnson A linear, almost periodic equation with an almost automorphic solution Proc. Amer. Math. Soc. 82 2 1981 199 205
    • (1981) Proc. Amer. Math. Soc. , vol.82 , Issue.2 , pp. 199-205
    • Johnson, R.A.1
  • 7
    • 0000383075 scopus 로고    scopus 로고
    • Topological dynamics and applications (Minneapolis 1995)
    • G.R. Sell, W. Shen, and Y. Yi Topological dynamics and applications (Minneapolis 1995) Contemp. Math. 215 1998 279 297
    • (1998) Contemp. Math. , vol.215 , pp. 279-297
    • Sell, G.R.1    Shen, W.2    Yi, Y.3
  • 8
    • 0013080113 scopus 로고    scopus 로고
    • Almost automorphic and almost periodic dynamics in skew product flows
    • W. Shen, and Y. Yi Almost automorphic and almost periodic dynamics in skew product flows Mem. Amer. Math. Soc. 136 647 1998
    • (1998) Mem. Amer. Math. Soc. , vol.136 , Issue.647
    • Shen, W.1    Yi, Y.2
  • 9
    • 33847717934 scopus 로고    scopus 로고
    • On almost automorphic oscillations, differences and differential equations
    • Y. Yi On almost automorphic oscillations, differences and differential equations Fields Inst. Commun. 41 2004 75 99
    • (2004) Fields Inst. Commun. , vol.41 , pp. 75-99
    • Yi, Y.1
  • 10
    • 0010072517 scopus 로고
    • Almost automorphic solutions of certain abstract differential equations
    • M. Zaki Almost automorphic solutions of certain abstract differential equations Ann. Mat. Pura Appl. 101 1974 91 114
    • (1974) Ann. Mat. Pura Appl. , vol.101 , pp. 91-114
    • Zaki, M.1
  • 11
    • 85065362034 scopus 로고    scopus 로고
    • Applications of robust synchronization to communication systems
    • M.F. Gamerio, and H.M. Rodrigues Applications of robust synchronization to communication systems Appl. Anal. 79 2001 21 45
    • (2001) Appl. Anal. , vol.79 , pp. 21-45
    • Gamerio, M.F.1    Rodrigues, H.M.2
  • 14
    • 38249035626 scopus 로고
    • Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation
    • H.M. Rodrigues, and M. Silveira Properties of bounded solutions of linear and nonlinear evolution equations: homoclinics of a beam equation J. Differential Equations 70 3 1987 403 440
    • (1987) J. Differential Equations , vol.70 , Issue.3 , pp. 403-440
    • Rodrigues, H.M.1    Silveira, M.2
  • 15
    • 38249027526 scopus 로고
    • On the relationship between exponential dichotomies and the Fredholm alternative
    • H.M. Rodrigues, and M. Silveira On the relationship between exponential dichotomies and the Fredholm alternative J. Differential Equations 73 1 1988 78 81
    • (1988) J. Differential Equations , vol.73 , Issue.1 , pp. 78-81
    • Rodrigues, H.M.1    Silveira, M.2
  • 16
    • 0001622355 scopus 로고
    • Evolution equations: Dichotomies and the Fredholm alternative for bounded solutions
    • H.M. Rodrigues, and J.G. Ruas-Filho Evolution equations: dichotomies and the Fredholm alternative for bounded solutions J. Differential Equations 119 2 1995 263 283
    • (1995) J. Differential Equations , vol.119 , Issue.2 , pp. 263-283
    • Rodrigues, H.M.1    Ruas-Filho, J.G.2
  • 17
    • 0011936250 scopus 로고
    • Bifurcation in the Duffing equation with independent parameters i
    • J.K. Hale, and H.M. Rodrigues Bifurcation in the Duffing equation with independent parameters I Proc. Roy. Soc. Edinburgh Sect. A 78 1977 57 65
    • (1977) Proc. Roy. Soc. Edinburgh Sect. A , vol.78 , pp. 57-65
    • Hale, J.K.1    Rodrigues, H.M.2
  • 18
    • 84971173460 scopus 로고
    • Bifurcation in the Duffing equation with independent parameters II
    • J.K. Hale, and H.M. Rodrigues Bifurcation in the Duffing equation with independent parameters II Proc. Roy. Soc. Edinburgh Sect. A 79 1978 317 326
    • (1978) Proc. Roy. Soc. Edinburgh Sect. A , vol.79 , pp. 317-326
    • Hale, J.K.1    Rodrigues, H.M.2
  • 19
    • 25944452785 scopus 로고
    • On harmonic and subharmonic solutions of nonlinear second order equations: Symmetry and bifurcation
    • H.M. Rodrigues, and M. Furkotter On harmonic and subharmonic solutions of nonlinear second order equations: symmetry and bifurcation Appl. Anal. 37 1990 63 93
    • (1990) Appl. Anal. , vol.37 , pp. 63-93
    • Rodrigues, H.M.1    Furkotter, M.2
  • 20
    • 79951671468 scopus 로고
    • Symmetry and bifurcation to 2π-periodic solutions of nonlinear second order equations with 2π M-periodic forcings
    • H.M. Rodrigues, and M. Furkotter Symmetry and bifurcation to 2 π-periodic solutions of nonlinear second order equations with 2 π M-periodic forcings SIAM J. Math. Anal. 22 1991 169 180
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 169-180
    • Rodrigues, H.M.1    Furkotter, M.2
  • 21
    • 0011971102 scopus 로고
    • On bifurcation and symmetry of solutions of nonlinear Dm-equivariant equations
    • H.M. Rodrigues, and L.F. Galante On bifurcation and symmetry of solutions of nonlinear Dm-equivariant equations Dyn. Syst. Appl. 2 1993 75 100
    • (1993) Dyn. Syst. Appl. , vol.2 , pp. 75-100
    • Rodrigues, H.M.1    Galante, L.F.2
  • 22
    • 0011966387 scopus 로고
    • On bifurcation and symmetry of solutions of symmetric nonlinear equations with odd-harmonic forcings
    • H.M. Rodrigues, and L.F. Galante On bifurcation and symmetry of solutions of symmetric nonlinear equations with odd-harmonic forcings J. Math. Anal. Appl. 195 1995 526 553
    • (1995) J. Math. Anal. Appl. , vol.195 , pp. 526-553
    • Rodrigues, H.M.1    Galante, L.F.2
  • 23
    • 11144353381 scopus 로고    scopus 로고
    • Digitization of nonautonomous control systems
    • DOI 10.1016/j.jde.2004.07.010, PII S0022039604002876
    • R. Fabbri, R.A. Johnson, and P.E. Kloeden Digitization of nonautonomous control systems J. Differential Equations 208 2 2005 509 529 (Pubitemid 40030561)
    • (2005) Journal of Differential Equations , vol.208 , Issue.2 SPEC. ISSUE , pp. 509-529
    • Fabbri, R.1    Johnson, R.A.2    Kloeden, P.E.3
  • 24
    • 52549085363 scopus 로고    scopus 로고
    • Nonautonomous attractors of skew-product flows with digitized driving systems
    • R.A. Johnson, and P.E. Kloeden Nonautonomous attractors of skew-product flows with digitized driving systems Electron. J. Differential Equations 58 2001 16 pp. (electronic)
    • (2001) Electron. J. Differential Equations , Issue.58
    • Johnson, R.A.1    Kloeden, P.E.2
  • 29
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer-Verlag Berlin
    • D. Henry Geometric Theory of Semilinear Parabolic Equations Springer Lecture Notes Math. vol. 840 1981 Springer-Verlag Berlin
    • (1981) Springer Lecture Notes Math. , vol.840
    • Henry, D.1
  • 30
    • 0002709196 scopus 로고
    • Dichotomies in Stability Theory
    • Springer-Verlag Berlin, Heidelberg, New York
    • W.A. Coppel Dichotomies in Stability Theory Lecture Notes in Mathematics vol. 629 1978 Springer-Verlag Berlin, Heidelberg, New York
    • (1978) Lecture Notes in Mathematics , vol.629
    • Coppel, W.A.1
  • 31
    • 0019666924 scopus 로고
    • A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
    • P. Holmes, and J. Marsden A partial differential equation with infinitely many periodic orbits: chaotic oscillations of a forced beam Arch. Ration. Mech. Anal. 76 2 1981 134 164
    • (1981) Arch. Ration. Mech. Anal. , vol.76 , Issue.2 , pp. 134-164
    • Holmes, P.1    Marsden, J.2
  • 32
    • 0001372077 scopus 로고    scopus 로고
    • On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
    • S. Koumou On a global solution and asymptotic behaviour for the generalized damped extensible beam equation. J. Differential Equations 135 1997 299 314
    • (1997) J. Differential Equations , vol.135 , pp. 299-314
    • Koumou, S.1
  • 33
    • 34248188202 scopus 로고
    • α-Contractions and attractors for dissipative semilinear hyperbolic equations and systems
    • S. Ceron, and O. Lopes α-contractions and attractors for dissipative semilinear hyperbolic equations and systems Ann. Mat. Pura Appl. (4) 160 1991 193 206 1992
    • (1991) Ann. Mat. Pura Appl. (4) , vol.160 , pp. 193-206
    • Ceron, S.1    Lopes, O.2
  • 35
    • 0000271110 scopus 로고
    • An invariance principle for compact processes
    • C.M. Dafermos An invariance principle for compact processes J. Differential Equations 9 1971 239 252
    • (1971) J. Differential Equations , vol.9 , pp. 239-252
    • Dafermos, C.M.1
  • 37
    • 21144436518 scopus 로고    scopus 로고
    • Atractores globales para sistemas diferenciales no autnomos
    • T. Caraballo, P.E. Kloeden, and J. Langa Atractores globales para sistemas diferenciales no autnomos Cubo 5 2003 305 329
    • (2003) Cubo , vol.5 , pp. 305-329
    • Caraballo, T.1    Kloeden, P.E.2    Langa, J.3
  • 38
    • 0038058212 scopus 로고    scopus 로고
    • The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems
    • D. Cheban, P.E. Kloeden, and B. Schmalfuß The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems Nonlinear Dyn. Syst. Theory 2 2 2002 9 28
    • (2002) Nonlinear Dyn. Syst. Theory , vol.2 , Issue.2 , pp. 9-28
    • Cheban, D.1    Kloeden, P.E.2    Schmalfuß, B.3
  • 40
    • 27644572435 scopus 로고    scopus 로고
    • Pullback attractors of nonautonomous semidynamical systems
    • P.E. Kloeden Pullback attractors of nonautonomous semidynamical systems Stoch. Dyn. 3 1 2003 101 112
    • (2003) Stoch. Dyn. , vol.3 , Issue.1 , pp. 101-112
    • Kloeden, P.E.1
  • 42
    • 79951677157 scopus 로고    scopus 로고
    • Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE
    • A. Haraux Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE Anal. Appl. 4 3 2006 237 246
    • (2006) Anal. Appl. , vol.4 , Issue.3 , pp. 237-246
    • Haraux, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.