Nonlinear differential equations and dynamical systems

by Verhulst, F., (Ferdinand)

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Title Statements

  • Full title :Nonlinear differential equations and dynamical systems / Ferdinand Verhulst.

Edition Statements

  • Publication Date:©1990.

Publication Statements

  • Publisher(s):Springer-Verlag
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:©1990.

Notes

Translation of: Nietlineaire differentiaalvergelijkingen en dynamische systemen.

The Physical Object

  • Description:1 online resource (ix, 277 pages : : illustrations).

Edition Identifiers

  • oclc:on1225861815
  • LC Classification:QA372
  • Dewey Decimal:515/.355

Table of Contents

Autonomous equations -- Critical points -- Periodic solutions -- Introduction to the theory of stability -- Linear equations -- Stability by linearisation -- Stability analysis by the direct method -- Introduction to perturbation theory -- The Poincaré-Lindstedt method -- The method of averaging -- Relaxation oscillations -- Bifurcation theory -- Chaos -- Hamiltonian systems. Appendices: The Morse lemma -- Linear periodic equations with a small parameter -- Trigonometric formulas and averages.

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