A recursive formula for computing the normal forms of difference systems

Ning Song

doi:10.1117/12.2672365

28 March 2023 A recursive formula for computing the normal forms of difference systems

Ning Song

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 125972V (2023) https://doi.org/10.1117/12.2672365
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

Normal form theory is an important tool for the study of the reduction and bifurcation analysis of nonlinear dynamical systems. This paper is to study the reduction for normal form of a class of non-autonomous nonlinear difference systems. For doing this, we compute the transformed system of a given non-autonomous difference system under a near identity formal transformation. Moreover, a recursive formula is derived for the homogeneous terms of the transformed system, which is a powerful tool for reduction of normal forms of non-autonomous nonlinear difference systems.

Citation Download Citation

Ning Song "A recursive formula for computing the normal forms of difference systems", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 125972V (28 March 2023); https://doi.org/10.1117/12.2672365

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