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Extension of Melnikov criterion for the differential equation with complex function

โœ Scribed by L. Cveticanin

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
603 KB
Volume
4
Category
Article
ISSN
0924-090X

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โœฆ Synopsis

The prescnt paper prcscnts an cxtension of Mclnikov's theory for the differential equation with complex function. The sufficient condition for the existence of a homoclinic orbit in the solutions of a perturbed equation is given. The method shown in the paper is used to derive a precursor criterion for chaos. Suitable conditions are defined for the parameters of equations for which the equation possesses a strange attractor set. The analytical results are compared with numerical ones. and a good agreement is found between them.

๐Ÿ“œ SIMILAR VOLUMES

A Massera Type Criterion for Linear Func
A Massera Type Criterion for Linear Functional Differential Equations with Advance and Delay
โœ Li Yong; Lin Zhenghua; Li Zhaoxing ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

In this note, a Massera type criterion for the existence of periodic solutions for linear functional differential equations with advance and delay is established. Because of the presence of an advanced argument, the definition of the fundamental solution operator seems unknown. Hence a method differ