Some open problems in dynamical systems.
Herman, Michael (1998)
Documenta Mathematica
Similarity:
Displaying similar documents to “The discovery of Smale horseshoe for dynamical system generated by autogenerator with tunnel diode”
Some open problems in dynamical systems.
Concerning two methods of defining the center of a dynamical system, II
Coke S. Reed (1973)
Colloquium Mathematicae
Similarity:
Perturbation theorems on Morse theory for continuous functions.
Cicortaş, Graţiela (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
On unimodal maps with critical order 2 + ε
Simin Li, Weixiao Shen (2006)
Fundamenta Mathematicae
Similarity:
It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
How complicated can be one-dimensional dynamical systems: descriptive estimates of sets
A. N. Sharkovskii (1989)
Banach Center Publications
Similarity:
Existence of multiple critical points for an asymptotically quadratic functional with applications.
Li, Shujie, Su, Jiabao (1996)
Abstract and Applied Analysis
Similarity:
On the Morse Complex.
Xiao-Wei Peng (1984)
Mathematische Zeitschrift
Similarity:
Critical groups of critical points produced by local linking with applications.
Perera, Kanishka (1998)
Abstract and Applied Analysis
Similarity:
Three manifestations of Morse theory in two dimensions
Vladimir N. Grujić (2011)
The Teaching of Mathematics
Similarity:
Morse theory and existence of periodic solutions of convex hamiltonian systems
Andrzej Szulkin (1988)
Bulletin de la Société Mathématique de France
Similarity:
On the genesis of symbolic dynamics as we know it
Ethan M. Coven, Zbigniew H. Nitecki (2008)
Colloquium Mathematicae
Similarity:
We trace the beginning of symbolic dynamics-the study of the shift dynamical system-as it arose from the use of coding to study recurrence and transitivity of geodesics. It is our assertion that neither Hadamard's 1898 paper, nor the Morse-Hedlund papers of 1938 and 1940, which are normally cited as the first instances of symbolic dynamics, truly present the abstract point of view associated with the subject today. Based in part on the evidence of a 1941 letter from Hedlund to Morse,...
Some Recent Rigorous Results in the Theory of Phase Transitions and Critical Phenomena
Jürg Fröhlich, Thomas Spencer (1982)
Recherche Coopérative sur Programme n°25
Similarity:
On foundations of the Conley index theory
Roman Srzednicki (1999)
Banach Center Publications
Similarity:
The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of the foundations of the theory was developed in Ph. D. theses of his students, see for example [Ch, Ku, Mon]. The Conley index associates the homotopy type of some pointed space to an isolated invariant set of a flow, just as the fixed point index associates an integer number to an isolated set of fixed points of a continuous map. Examples of isolated invariant sets arise naturally in the...
Heteroclinic solutions for perturbed second order systems
Massimiliano Berti (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
The existence of infinitely many heteroclinic orbits implying a chaotic dynamics is proved for a class of perturbed second order Lagrangian systems possessing at least 2 hyperbolic equilibria.