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Kyzioł, Jan; Okniński, Andrzej

doi:10.5506/aphyspolb.42.2063

Cited by 9 publications

(7 citation statements)

References 12 publications

(5 reference statements)

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“…It follows from general theory that metamorphoses of amplitude profiles occur in neighbourhoods of such points. The results obtained can be compared with our work on metamorphoses of 1 : 1 resonances in the effective equation [10].…”

Section: Summary and Discussionmentioning

confidence: 89%

“…We shall refer to functions A (ω) as amplitude profiles or resonance curves. In a recent paper, we investigated metamorphoses of amplitude profiles induced by changes of control parameters in the case of 1 : 1 resonance [10]. In the present paper, we continue this approach studying metamorphoses of A (ω) for 1 : 3 resonance.…”

Section: Introductionmentioning

confidence: 91%

“…We shall refer to such changes as metamorphoses (cf. [10] for metamorphoses of amplitude profiles in the case of 1 : 1 resonance in the effective equation).…”

Section: Metamorphoses Of the Amplitude Profiles For The 1 : 3 Resonancementioning

confidence: 99%

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Kyzioł¹,

Okniński²

2012

Acta Phys. Pol. B

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We study dynamics of two coupled periodically driven oscillators. A classic example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating system of a large mass. Periodic solutions of the approximate effective equation (derived in our earlier papers) are determined within the Krylov-Bogoliubov-Mitropolsky approach to compute the amplitude profiles A (Ω). In the present paper, we investigate metamorphoses of the function A (Ω) induced by changes of the control parameters in the case of 1 : 3 resonances.

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Section: Summary and Discussionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 91%

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Kyzioł¹,

Okniński²

2012

Acta Phys. Pol. B

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“…= 0 [25]. In all these cases, 2D implicit curves defined by Equation (3) change their form at critical or singular points of the curve F(Ω, A; c) = 0.…”

Section: ∂F(ωa;c) ∂Amentioning

confidence: 98%

Localizing Bifurcations in Non-Linear Dynamical Systems via Analytical and Numerical Methods

Kyzioł

Okniński

2022

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In this paper, we study the bifurcations of non-linear dynamical systems. We continue to develop the analytical approach, permitting the prediction of the bifurcation of dynamics. Our approach is based on implicit (approximate) amplitude-frequency response equations of the form FΩ,A;c̲=0, where c̲ denotes the parameters. We demonstrate that tools of differential geometry make possible the discovery of the change of differential properties of solutions of the equation FΩ,A;c̲=0. Such qualitative changes of the solutions of the amplitude-frequency response equation, referred to as metamorphoses, lead to qualitative changes of dynamics (bifurcations). We show that the analytical prediction of metamorphoses is of great help in numerical simulation.

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“…Direct comparison of the absorbance data suggests a clear substituent effect. The stronger donor substituent (such as DMA) results in a much stronger basicity of the azo moiety, which leads to an enhanced protonation to form the azonium band . On the other hand, the strong electron‐withdrawing substituent (such as CF 3 ) reduces the basicity of the chromophore and thus hinders the protonation process.…”

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confidence: 99%

Synergy of Ionic and Dipolar Effects by Molecular Design for pH Sensing beyond the Nernstian Limit

et al. 2019

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interface generates original signal and plays a crucial role in the sensing process. In ion sensors, the interaction between ions and ion receptors can lead to accumulation of interfacial charges, thereby causing an interfacial potential change that can be electronically readout. [3] A versatile sensing platform can also be designed by functionalizing the sensor surface with self-assembled organic monolayers (SAMs), which offers the possibility to tailor the chemical and/or physical interactions of the sensor surface with analytes. These interfacial interactions can generate additional changes in surface dipoles and/or charges on the sensing surface, [4,5] which can in turn affect the electrical properties of the surface and tune the sensitivity. [6][7][8] It can be emphasized that both surface charge and dipole play an equally important role in establishing the surface equilibrium state. The dipole effect can be engineered in a controllable and systematic way. Therefore, modulating the molecular dipole moment to enhance device performance holds promises in numerous applications. [9][10][11] However, the molecular dipole effect is strongly dependent on multiple parameters in practice, such as dipole orientation, distribution, and packing density of each molecule within the SAM. [12,13] These parameters are strongly inter-correlated. For example, increasing the dipole moment of the surface immobilized molecules can enhance the electrostatic repulsions between neighboring dipoles, influence the packing density, and even change the configuration of the SAM. Thus, in order to engineer the interfacial dipole in a controllable manner, a rational design of the system is needed.Since the dipole moment originates from the charge separation between atoms due to their difference in electronegativity, changing the electronegativity on the molecular substituent can be an efficient way to modulate the molecular dipole. A dipole moment can also be formed by ion pair of cation and anion, [14,15] which can be embodied by a well-known phenomenon that the electrostatic attraction between cations and anions can lead to a significant change in surface wettability. [16,17] This ionic dipole is strongly dependent on the polarizability of the ionic pair, and is affected by the properties of the ions such as ionic radius and hydration energy. [18,19] Therefore, artificial designs to form ion pairs can be an alternative to create dipoles on the sensing surface for modulation of its sensitivity. With proper molecular Knowledge of interfacial interactions between analytes and functionalized sensor surfaces, from where the signal originates, is key to the development and application of electronic sensors. The present work explores the tunability of pH sensitivity by the synergy of surface charge and molecular dipole moment induced by interfacial proton interactions. This synergy is demonstrated on a silicon-nanoribbon field-effect transistor (SiNR-FET) by functionalizing the sensor surface with properly designed chromophore molecules. The ch...

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Cited by 9 publications

References 12 publications

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Localizing Bifurcations in Non-Linear Dynamical Systems via Analytical and Numerical Methods

Synergy of Ionic and Dipolar Effects by Molecular Design for pH Sensing beyond the Nernstian Limit

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