An improved version of the Marotto Theorem

Chaos, Solitons and Fractals

Volumn 18, Issue 1, 2003, Pages 69-77

  Li, Changpin ^a   Chen, Guanrong ^b  

^a SHANGHAI UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; THEOREM PROVING;

MAROTTO THEOREM;

CHAOS THEORY;

EID: 0037884824     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00605-7     Document Type: Article

References (7)

1. Li T.Y., Yorke J.A. Period three implies chaos. Am. Math. Mon. 82:1975;985-992.
2. n J. Math. Anal. Appl. 63:1978;199-223.
3. Chen G., Hsu S.B., Zhou J. Snapback repellers as a cause of chaotic vibration of the wave equation with a van del Pol boundary condition and energy injection at the middle of the span. J. Math. Phys. 39:1998;6459-6489.
4. Lin W., Ruan J., Zhao W.R. On the mathematical clarification of the snap-back-repeller in high-dimensional system and chaos in a discrete neural network model. Int. J. Bifurcation Chaos. 12(5):2002;1129-1139.
5. Ambrosetti A., Prodi G. A prime of nonlinear analysis. 1993;Cambridge University Press, Cambridge.
6. Lin W, Complex dynamics in nonlinear systems: some theories and applications. PhD thesis. Fudan University, China, 2002.
7. Noble B., Daniel J.W. Applied linear algebra. 1977;Prentice-Hall, Englewood Cliffs, NJ.