Period adding bifurcation in a logistic map with memory

DOI10.1016/j.physd.2008.05.014zbMath1153.37366OpenAlexW2130330727MaRDI QIDQ1000703

Debabrata Dutta, Jayanta K. Bhattacharjee

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.physd.2008.05.014

zbMATH Keywords

bifurcationmemory controlperiod adding

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Dynamical systems involving maps of the interval (37E05) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (8)

Logistic map with memory from economic model ⋮ Period-adding bifurcation and chaos in a hybrid Hindmarsh-Rose model ⋮ A novel image encryption algorithm using chaos and reversible cellular automata ⋮ Numerical Analysis of a Novel 3D Chaotic System with Period-Subtracting Structures ⋮ Discontinuity induced bifurcations in a model of Saccharomyces cerevisiae ⋮ EXTENDING THE PARAMETER INTERVAL IN THE LOGISTIC MAP WITH MEMORY ⋮ Bifurcation and Chaos in the Logistic Map with Memory ⋮ Stochastic Hopf-Hopf bifurcation of two-species discrete coupling logistic system with symbiotic interaction

Cites Work

• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• The birth of strange nonchaotic attractors
• Dynamics of autonomous stochastic resonance in neural period adding bifurcation scenarios
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Periodic Forcing and Goal Oriented Control of Chaos
• Perspectives of Nonlinear Dynamics
• The phase-modulated logistic map

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