5 citations · 16 across the 5 of their papers we have counts for
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Period tripling accumulation point for complexified Henon map
O. B. Isaeva, S. P. Kuznetsov
Accumulation point of period-tripling bifurcations for complexified Henon map is found. Universal scaling properties of parameter space and Fourier spectrum intrinsic to this criti…
On possibility of realization of the Mandelbrot set in coupled continuous systems
O. B. Isaeva, S. P. Kuznetsov
According to the method, suggested in our previous work (nlin/0509012) and based on the consideration of the specially coupled systems, the possibility of physical realization of t…
On possibility of realization of the phenomena of complex analytic dynamics in physical systems. Novel mechanism of the synchronization loss in coupled period-doubling systems
O. B. Isaeva, S. P. Kuznetsov
The possibility of realization of the phenomena of complex analytic dynamics for the realistic physical models are investigated. Observation of the Mandelbrot and Julia sets in the…
Dynamics of Small Perturbations of Orbits on a Torus in a Quasiperiodically Forced 2D Dissipative Map
Alexey Yu. Jalnine, Sergey P. Kuznetsov, Andrew H. Osbaldestin
We consider the dynamics of small perturbations of stable two-frequency quasiperiodic orbits on an attracting torus in the quasiperiodically forced Henon map. Such dynamics consist…
Approximate Description of the Mandelbrot Set. Thermodynamic Analogy
O. B. Isaeva, S. P. Kuznetsov
Analogy between an approximate version of Feigenbaum renormalization group analysis in complex domain and the phase transition theory of Yang-Lee (based on consideration of formall…