COUNTING LOW-PERIOD CYCLES FOR FLOWS

DOI10.1142/S0218127406016513zbMath1142.34015MaRDI QIDQ3498693

Zbigniew Galias

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (13)

Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors ⋮ When chaos meets hyperchaos: 4D Rössler model ⋮ On the structure of existence regions for sinks of the Hénon map ⋮ Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria ⋮ VALIDATED STUDY OF THE EXISTENCE OF SHORT CYCLES FOR CHAOTIC SYSTEMS USING SYMBOLIC DYNAMICS AND INTERVAL TOOLS ⋮ An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs ⋮ A new method for finding cycles by semilinear control ⋮ Periodic solutions and invariant torus in the Rössler system ⋮ A computer-assisted proof of existence of a periodic solution ⋮ Periodic orbits in the Rössler system ⋮ Existence of Periodic Solutions of the FitzHugh--Nagumo Equations for an Explicit Range of the Small Parameter ⋮ A Four-Leaf Chaotic Attractor of a Three-Dimensional Dynamical System ⋮ NUMERICAL STUDY OF COEXISTING ATTRACTORS FOR THE HÉNON MAP

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