Rigorous investigation of the Ikeda map by means of interval arithmetic
From MaRDI portal
Publication:4796794
DOI10.1088/0951-7715/15/6/304zbMath1015.37012OpenAlexW2075265306MaRDI QIDQ4796794
Publication date: 10 July 2003
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/15/6/304
periodic orbitsinterval arithmeticsymbolic dynamicstopological entropynonlinear dynamical systemIkeda map
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items
COUNTING LOW-PERIOD CYCLES FOR FLOWS, Search for invariant sets of the generalized tent map, An algorithm for computing a neighborhood included in the attraction domain of an asymptotically stable point, INFINITE DIMENSIONAL KRAWCZYK OPERATOR FOR FINDING PERIODIC ORBITS OF DISCRETE DYNAMICAL SYSTEMS, VALIDATED STUDY OF THE EXISTENCE OF SHORT CYCLES FOR CHAOTIC SYSTEMS USING SYMBOLIC DYNAMICS AND INTERVAL TOOLS, A new method for finding cycles by semilinear control, Fixed points of a destabilized Kuramoto-Sivashinsky equation, Rigorous bounds for polynomial Julia sets, Finite resolution dynamics, Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model, Local stability implies global stability for the 2-dimensional Ricker map
