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• W3102937099 abstract "We consider a self-oscillator whose excitation parameter is varied. Frequency of the variation is much smaller then the natural frequency of the oscillator so that oscillations in the system are periodically excited and decay. Also a time delay as added such that when the oscillations start to grow at a new excitation stage they are influenced via the delay line by the oscillations at the penultimate excitation stage. Due to a nonlinearity the seeding from the past arrives with a doubled phase so that oscillation phase changes from stage to stage according to chaotic Bernoulli-type map. As a result, the system operates as two coupled hyperbolic chaotic subsystems. Varying the relation between the delay time and the excitation period we affect a coupling strength between these subsystems as well as intensity of the phase doubling mechanism responsible for the hyperbolicity. Due to this, a transition from non-hyperbolic to hyperbolic hyperchaos occurs. The following steps of the transition scenario are revealed and analyzed: (a) an intermittency as alternation of long staying near a fixed point at the origin and short chaotic bursts; (b) chaotic oscillations with often visits to the fixed point; (c) plain hyperchaos without hyperbolicity after termination visiting the fixed point; (d) transformation of hyperchaos to hyperbolic form." @default.
• W3102937099 created "2020-11-23" @default.
• W3102937099 creator A5032924546 @default.
• W3102937099 creator A5064477208 @default.
• W3102937099 date "2020-11-01" @default.
• W3102937099 modified "2023-10-16" @default.
• W3102937099 title "Route to hyperbolic hyperchaos in a nonautonomous time-delay system" @default.
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• W3102937099 doi "https://doi.org/10.1063/5.0022645" @default.
• W3102937099 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/33261351" @default.
• W3102937099 hasPublicationYear "2020" @default.
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