Once more on Hénon map: analysis of bifurcations.

DOI10.1016/S0960-0779(96)00081-1zbMath1080.91545MaRDI QIDQ815641

Michael Sonis

Publication date: 17 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Economic growth models (91B62) Applications of dynamical systems (37N99)

Related Items (8)

Logistic map neural modelling: A theoretical foundation ⋮ Estimating 2-cycle fixed points of henon map using backpropagation neural networks ⋮ On the analysis of stability, bifurcation, chaos and chaos control of Kopel map ⋮ CHAOS INDUCEMENT AND ENHANCEMENT IN TWO PARTICULAR NONLINEAR MAPS USING WEAK PERIODIC/QUASIPERIODIC PERTURBATIONS ⋮ Complex dynamic behaviour of an economic cycle model ⋮ Complex dynamics in generalized Hénon map ⋮ Fast relaxation transients in a kicked damped oscillator ⋮ THE GENERALIZED TIME-DELAYED HÉNON MAP: BIFURCATIONS AND DYNAMICS

Cites Work

• Rotation numbers of periodic orbits in the Hénon map
• A two-dimensional mapping with a strange attractor
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• Calculus of iterations and labor-capital core-periphery relative redistribution dynamics
• Quantitative universality for a class of nonlinear transformations
• Period-doubling in discrete relative spatial dynamics and the Feigenbaum sequence
• Generalized Predator-Prey Oscillations in Ecological and Economic Equilibrium
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