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12 p, 750.6 KB The Completely Integrable Differential Systems are Essentially Linear Differential Systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática) ; Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)
Let ˙x = f(x) be a C k autonomous differential system with k ∈ N ∪ {∞, ω} defined in an open subset Ω of R n. Assume that the system ˙x = f(x) is C r completely integrable, i. e. there exist n−1 functionally independent first integrals of class C r with 2 ≤ r ≤ k. [...]
2015 - 10.1007/s00332-015-9243-z
Journal of Nonlinear Science, Vol. 25 Núm. 4 (2015) , p. 815-826  

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