Found 35 Documents (Results 1–35)
The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications. (English) Zbl 1475.37070
Reviewer: Simona Druta-Romaniuc (Iaşi)
Existence of positive homoclinic solutions for damped differential equations. (English) Zbl 1379.34038
The existence of a Smale horseshoe in a planar circular restricted four-body problem. (English) Zbl 1293.70049
On symmetric positive homoclinic solutions of semilinear \(p\)-Laplacian differential equations. (English) Zbl 1281.34032
Chaotic maps. Dynamics, fractals, and rapid fluctuations. (English) Zbl 1237.37001
Reviewer: Steve Pederson (Atlanta)
Existence of horseshoe sets with nondegenerate one-sided homoclinic tangencies in \(\mathbb R^3\). (English) Zbl 1147.37017
Periodic solutions of some resonant Hamiltonian systems. (English) Zbl 1138.37040
MSC:
37J45
A variant existence result for periodic solutions of a class of Hamiltonian systems with indefinite potential. (English) Zbl 1101.37044
Reviewer: Mircea Crâşmăreanu (Iaşi)
An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. (English) Zbl 1025.37001
Studies in Nonlinearity. Boulder, CO: Westview Press. xvi, 335 p. (2003).
Random homoclinic dynamics. (English) Zbl 0974.37035
Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 127-132 (2000).
Symbolic dynamics and partially hyperbolic tori. (Dynamique symbolique et tores partiellement hyperboliques.) (French. Abridged English version) Zbl 0974.37031
Shooting methods and topological transversality. (English) Zbl 0977.37010
Reviewer: Jörg Härterich (Berlin)
Numerical approximation of homoclinic chaos. (English) Zbl 0898.65041
Reviewer: E.L.Allgower (Fort Collins)
Chaotic dynamics from the difference equations point of view. (English) Zbl 0863.58049
Elaydi, Saber N. (ed.) et al., Proceedings of the first international conference on difference equations, Trinity University, San Antonio, TX, USA, May 25-28, 1994. London: Gordon and Breach. 41-55 (1995).
Random homoclinic orbits. (English) Zbl 0847.58047
Reviewer: M.Hurley (Cleveland)
Homoclinic motions and chaos in the quasiperiodically forced van der Pol- Duffing oscillator with single well potential. (English) Zbl 0817.70015
Reviewer: Á.Bosznay (Budapest)
Chaotic motion in unsteady vortical flows. (English) Zbl 0803.76021
Fitzmaurice, N. (ed.) et al., Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics. Outgrowth of the NSF-CBMS conference held at Case Western Reserve University, Cleveland, OH, USA, May 1992. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 11, 147-158 (1993).
An introduction to chaotic dynamical systems. 2nd ed. (English) Zbl 0695.58002
Redwood City, CA etc.: Addison-Wesley Publishing Company, Inc. xvi, 336 p. (1989).
Exponential dichotomies, the shadowing lemma and transversal homoclinic points. (English) Zbl 0676.58025
Dyn. Rep. 1, 265-306 (1988).
Reviewer: J.Andres
Chaotic behavior of planar maps. (English) Zbl 0667.58041
Reviewer: G.Keller
MSC:
37D45
An introduction to chaotic dynamical systems. (English) Zbl 0632.58005
Menlo Park, California, etc.: The Benjamin/Cummings Publishing Co., Inc. (Distr. by Addison-Wesley, Amsterdam). XIV, 320 p. (1986).
Reviewer: E.D.Belokolos
Problems in the general theory of dynamical systems on a manifold. (English. Russian original) Zbl 0504.58002
Transl., Ser. 2, Am. Math. Soc. 116, 1-41 (1981); translation from Ninth Math. Summer School (Kaciveli 1971), Izdanie Inst. Mat. Akad. Nauk Ukr. SSR, Kiev, 52-124 (1972).
Lectures on geometric methods in mathematical physics. (English) Zbl 0485.70001
CBMS-NSF Regional Conference Series in Applied Mathematics 37. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-170-3). v, 97 p. (1981).
Lectures on dynamical systems. (English) Zbl 0444.58001
Dynamical systems, C.I.M.E. Lect., Bressanone 1978, Prog. Math. 8, 1-114 (1980).
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