The averaging method and the persistence of attractors

References

• Bogolyubov , N.N. and Mitropolsky , Y.A. 1961 . Asymptotic methods in the theory of monlinear oscillations , New York : Gordon and Breach Science Publishers .
   Google Scholar
• Hale , J.K. 1969 . Ordinary differential equations , New York : Wiley Interscience .
   Google Scholar
• Carrillo , Calvert . 1987 . Perturbations results on the long run behavior of nonlinear dynamical systems. in Alberto Verjovsky . Contemporary Mathematics , 58 : 1 – 9 .
   Google Scholar
• Volosov , V.M. 1962 . Averaging in systems of differential equations . Russ.Math.Surveys , 17
   Google Scholar
• Volosov , V.M. 1962 . Averaging on an unbounded interval . Soviet Mathematics , III
   Google Scholar
• Banfi , C. 1967 . Sull aprossimazione di proccessi non stationari in meccanica non lineari . Boll.Un.Mat.Italiana , 22 : 442 – 450 .
   Google Scholar
• Eckhaus , V. 1975 . New approach to the asymptotic theory of nonlinear oscillations and wave propagations . J.Math.,Appl , 49 : 575 – 611 .
   Google Scholar
• Yoshizawa , T. 1966 . Stability theory by Lyapounov second method , Mathematical Society of Japan .
   Google Scholar
• Yoshizawa , T. 1963 . Stability of sets and perturbed systems . Funkcial.Ekvac , 5 : 31 – 39 .
   Google Scholar
• H. Carrillo , Calvet . Asymptotic stability without uniform as ymptotic stability in an autonomous equation
   Google Scholar
• H. Carrillo , Calvet . Attracting Sets
   Google Scholar