11 citations · 43 across the 9 of their papers we have counts for
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Phenomena of complex analytic dynamics in the systems of alternately excited coupled non-autonomous oscillators and self-sustained oscillators
O. B. Isaeva, S. P. Kuznetsov, A. H. Osbaldestin
A feasible model is introduced that manifests phenomena intrinsic to iterative complex analytic maps (such as the Mandelbrot set and Julia sets). The system is composed of two coup…
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…
The effect of noise on the dynamics of a complex map at the period-tripling accumulation point
O. B. Isaeva, S. P. Kuznetsov, A. H. Osbaldestin
As shown recently (O.B.Isaeva et al., Phys.Rev E64, 055201), the phenomena intrinsic to dynamics of complex analytic maps under appropriate conditions may occur in physical systems…
Smooth and Non-Smooth Dependence of Lyapunov Vectors upon the Angle Variable on a Torus in the Context of Torus-Doubling Transitions in the Quasiperiodically Forced Henon Map
Alexey Yu. Jalnine, Andrew H. Osbaldestin
A transition from a smooth torus to a chaotic attractor in quasiperiodically forced dissipative systems may occur after a finite number of torus-doubling bifurcations. In this pape…