Nonlinear Oscillations in the Frame of Alternative Methods

  title={Nonlinear Oscillations in the Frame of Alternative Methods},
  author={Lamberto Cesari},
  • Lamberto Cesari
  • Published 1976
  • Mathematics
  • This chapter discusses the nonlinear oscillations in the frame of alternative methods. The injection of methods of functional analysis in the classical bifurcation process of Poincare, Lyapunov, and Schmidt, and extensive subsequent work have made this process a fine tool in nonlinear analysis, particularly in the difficult problems at resonance in the usual terminology. The general theory that has ensued, with all its variants and ramifications, is often referred to as bifurcation theory, or… CONTINUE READING

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