Oscillations of Linear Systems

  • Frank C. Hoppensteadt
Part of the Applied Mathematical Sciences book series (AMS, volume 94)


A linear system of ordinary differential equations has the form
$$dx/dt = A\left( t \right)x + f\left( t \right)$$
Given an N-dimensional vector f and an N × N-dimensional matrix A(t) of functions of t, we seek a solution vector x(t). We write x, fE N and AE N × N and sometimes x′ = dx/dt or = dx/dt.


Linear System Support Point Stability Diagram Periodic Coefficient Constant Formula 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  1. 1.College of Natural SciencesMichigan State UniversityEast LansingUSA

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