Universality and scaling of period-doubling bifurcations in a dissipative distributed medium

DOI10.1016/0167-2789(86)90065-5zbMath0596.58033OpenAlexW2054938746MaRDI QIDQ1078873

Arkadij S. Pikovskij, Sergey P. Kuznetsov

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90065-5

zbMATH Keywords

renormalization grouptransition to chaos via period-doubling bifurcationsweakly inhomogeneous states near the critical point

Mathematics Subject Classification ID

Iteration of real functions in one variable (26A18) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (11)

Space–time renormalization at the onset of spatio–temporal chaos in coupled maps ⋮ Coupled maps and pattern formation on the Sierpinski gasket ⋮ Critical properties of lattices of diffusively coupled quadratic maps ⋮ Stability of wavelengths and spatiotemporal intermittency in coupled map lattices ⋮ Asymptotic stability of densities in coupled map lattices ⋮ Life on a regular polygon: Maps induced by spatially extended prey- predator equations ⋮ ``Coherence-incoherence transition in ensembles of nonlocally coupled chaotic oscillators with nonhyperbolic and hyperbolic attractors ⋮ Universality and scaling in two-dimensional coupled map lattices ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps ⋮ Universal scaling behavior in the weakly coupled map lattice ⋮ Coupled map lattices with complex order parameter

Cites Work

• Chaotic attractors of an infinite-dimensional dynamical system
• Roads to turbulence in dissipative dynamical systems

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