Iterates of Maps with Symmetry

DOI10.1137/0519092zbMath0694.58030OpenAlexW1988244768MaRDI QIDQ3469938

Pascal Chossat, Martin Golubitsky

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8efc500fe6e3534abea1e05cd3589e82eef1228a

zbMATH Keywords

Hopf bifurcationperiod doublingiteratesbifurcation of fixed pointsequivariant mappings

Mathematics Subject Classification ID

Periodic and quasi-periodic flows and diffeomorphisms (37C55) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (23)

Generic and symmetric bifurcations analysis of a three dimensional economic model ⋮ The 2:1 steady/Hopf mode interaction in the two-layer Bénard problem ⋮ Global characterization of the normal form for a vector field near a closed orbit ⋮ 3-mode Interactions with O(2) Symmetry and a Model for Taylor-Couette flow ⋮ Symmetry discrete-time delayed neural network ⋮ Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions. ⋮ Numerical Detection and Analysis of Strong Resonance Bifurcations with a Reflection Symmetry and Some Applications in Economics and Neural Networks ⋮ Pattern evocation and geometric phases in mechanical systems with symmetry ⋮ A torus bifurcation theorem with symmetry ⋮ Period-doubling mode interactions with circular symmetry ⋮ Dynamic properties of coupled maps ⋮ MULTIPLE HOPF BIFURCATION AND CHAOTIC REVERSING WAVES IN PROBLEMS WITH O(2) SYMMETRY ⋮ Cryptography with cycling chaos ⋮ Spatial period-multiplying instabilities of hexagonal Faraday waves ⋮ Cycling Behavior in Near-Identical Cell Systems ⋮ Neimark-Sacker bifurcation with \(\mathbb{Z}_n\)-symmetry and a neural application ⋮ Phase space reconstruction for symmetric dynamical systems ⋮ Numerical bifurcation analysis of double +1 multiplier in ℤ₃-symmetric maps ⋮ Modulated wave trains in lattice differential systems ⋮ Spatiotemporal chaos in a 2D coupled map lattice with pinning-like force ⋮ Period-doubling/symmetry-breaking mode interactions in iterated maps ⋮ Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals ⋮ Rotational symmetry and rotating waves in planar integro-difference equations

This page was built for publication: Iterates of Maps with Symmetry