Nonlinear Differential Systems with Prescribed Invariant Sets

Allan Sandqvist

Nonlinear Differential Systems with Prescribed Invariant Sets

Allan Sandqvist

Research output: Book/Report › Report › Research › peer-review

Abstract

We present a class of nonlinear differential systems for which invariant sets can be prescribed.Moreover,we show that a system in this class can be explicitly solved if a certain associated linear homogeneous system can be solved.As a simple application we construct a plane autonomous system having a given closed curve on polar form as the only limit cycle.

Original language	English

Number of pages	11
Publication status	Published - 1999

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abstract = "We present a class of nonlinear differential systems for which invariant sets can be prescribed.Moreover,we show that a system in this class can be explicitly solved if a certain associated linear homogeneous system can be solved.As a simple application we construct a plane autonomous system having a given closed curve on polar form as the only limit cycle.",

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AB - We present a class of nonlinear differential systems for which invariant sets can be prescribed.Moreover,we show that a system in this class can be explicitly solved if a certain associated linear homogeneous system can be solved.As a simple application we construct a plane autonomous system having a given closed curve on polar form as the only limit cycle.

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