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On stability of critical points of quadratic differential equations in nonassociative algebras

Borut Zalar
Matej Mencinger


Puni tekst: engleski pdf 253 Kb

str. 19-27

preuzimanja: 111

citiraj


Sažetak

In this note we treat the stability of nonzero critical points of the differential equation x' = x2 in a commutative real nonassociative algebra. As our first result we prove that if a critical point lies in some Peirce subspace with respect to a nonzero idempotent, it cannot be stable. This improves a previously known result due to Kinyon and Sagle. As a second result we show that there exists 2-dimensional algebra

Ključne riječi

Quadratic differential equation; nonassociative algebra; critical points; ray solutions; projections; nilpotents; Peirce subspaces

Hrčak ID:

1332

URI

https://hrcak.srce.hr/1332

Datum izdavanja:

1.6.2003.

Posjeta: 496 *