This research presents a new 2nd order non-linear chaotic system that is created using the Lienard Theorem and binomial functions. The systems parameters are properly chosen to assure a stable limit cycle and simultan...
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This research presents a new 2nd order non-linear chaotic system that is created using the Lienard Theorem and binomial functions. The systems parameters are properly chosen to assure a stable limit cycle and simultaneously bifurcation diagrams are conjugated together with Lyapunov exponents to generate chaotic and periodic trajectories in the phase space. Then the system is configured to operate in the state of intermittence for detection of ultra-weak signals. Computer model simulations provide encouraging results for detection of signals with signal-to-noise ratio of -45 dB. As a parallel result, a new method named Short Time Inspired Lyapunov exponent (STILE), is presented as an efficient way to detect intermittence in time sequences. Copyright (C) 2021 The Authors.
This research presents a new 2nd order non-linear chaotic system that is created using the Liènard Theorem and binomial functions. The systems parameters are properly chosen to assure a stable limit cycle and sim...
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This research presents a new 2nd order non-linear chaotic system that is created using the Liènard Theorem and binomial functions. The systems parameters are properly chosen to assure a stable limit cycle and simultaneously bifurcation diagrams are conjugated together with Lyapunov exponents to generate chaotic and periodic trajectories in the phase space. Then the system is configured to operate in the state of intermittence for detection of ultra-weak signals. Computer model simulations provide encouraging results for detection of signals with signal-to-noise ratio of -45 dB. As a parallel result, a new method named Short Time Inspired Lyapunov exponent (STILE), is presented as an efficient way to detect intermittence in time sequences.
This note is about the completeness of the function families {z(n)(lambda-z(n))(N ): n = 1,2, . . .} in the Hardy space H-0(2)(D), and some related questions. It is shown that for vertical bar lambda vertical bar >...
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This note is about the completeness of the function families {z(n)(lambda-z(n))(N ): n = 1,2, . . .} in the Hardy space H-0(2)(D), and some related questions. It is shown that for vertical bar lambda vertical bar > R(N) the family is complete in H-0(2)(D) (and often is a Riesz basis of H-0(2)), whereas for vertical bar lambda vertical bar < r(N) <= R(N) it is not, where both radii r(N) <= R(N) tends to infinity and behave more or less as N (as N -> infinity). Several results are also obtained for more general binomials {z(n)(1-1/lambda z(n))(nu) : n = 1, 2, ... where vertical bar lambda vertical bar >= 1 and nu is an element of C.
A novel compact ultra-wideband antenna with hand-notched function is proposed and implemented. The radiating patch consists of a binomial function edge and is fed by coplanar waveguide. The size of the UWB antenna is ...
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A novel compact ultra-wideband antenna with hand-notched function is proposed and implemented. The radiating patch consists of a binomial function edge and is fed by coplanar waveguide. The size of the UWB antenna is minimized to 30 X 27.4 mm(2). A new type of pi-shaped slot is embedded to obtain rite band-non-bed characteristic in the 5 GHz WLAN band. The center frequency of the notched band can be varied from 5.2 to 5.8 GHz by properly selecting the parameter values. The measured results are in good agreement with tire simulated ones. (C) 2008 Wiley Periodicals. Inc.
The curve of a planar antenna edge is an important parameter which affects the antenna performances. In this study, we propose a new edge curve, characterized by the binomial function, for designing ultrawideband ante...
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The curve of a planar antenna edge is an important parameter which affects the antenna performances. In this study, we propose a new edge curve, characterized by the binomial function, for designing ultrawideband antenna. The effect on the impedance bandwidth through the change with the different order of the binomial function and the gap width between the antenna and ground plane has been investigated and analyzed. The measurement result shows a good agreement with the simulation. Besides, the radiation patterns are omnidirectional in the H plane across the operating bandwidths.
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