Isolating segments, fixed point index, and symbolic dynamics: III. Applications

Journal of Differential Equations

Volumn 183, Issue 1, 2002, Pages 262-278

  Wójcik, Klaudiusz ^a   Zgliczyński, Piotr ^a,b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Chaos; Fixed point index; Isolating segments

Indexed keywords

EID: 0037142936     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2001.4099     Document Type: Article

References (11)

1. "Isolated Invariant Sets and the Morse Index"
2. "Lectures on Algebraic Topology"
3. Periodic and bounded solutions in blocks for time-periodic non-autonomuous ordinary differential equations
4. A geometric method for detecting chaotic dynamics
5. Sur un principe topologique pour l'examen de l'allure asymptotique des integrales des equations differentielles ordinaires
6. On some nonautonomous chaotic system on the plane
7. On detecting periodic solutions and chaos in the time periodically forced ODE's
8. Isolating segments, fixed point index and symbolic dynamics
9. Isolating segments, fixed point index and symbolic dynamics II. Homoclinic solutions
10. Fixed point index for iterations of maps, topological horseshoe and chaos
11. Computer assisted proof of chaos in the Hénon map and in the Rössler equations