Mathieu–Hill Equation Stability Analysis for Trapped Ions: Anharmonic Corrections for Nonlinear Electrodynamic Traps.
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- Photonics, 2024, v. 11, n. 6, p. 551, doi. 10.3390/photonics11060551
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Works matching DE "MATHIEU equation"
Results: 177
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The mathieu differential equation and generalizations to infinite fractafolds.
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- Communications on Pure & Applied Analysis, 2020, v. 19, n. 3, p. 1795, doi. 10.3934/cpaa.2020073
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- Article
3
Band Gaps and Wavefunctions of Electrons Coupled to Pseudo Electromagnetic Waves in Rippled Graphene.
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- Physica Status Solidi - Rapid Research Letters, 2018, v. 12, n. 9, p. 1, doi. 10.1002/pssr.201800072
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- Article
4
Parametric resonance of entropy perturbations in massless preheating.
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- International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2015, v. 24, n. 11, p. -1, doi. 10.1142/S0218271815500820
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- Article
5
ON MULTIPLE MATHIEU (a;ʎ)-SERIES.
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- Miskolc Mathematical Notes, 2010, v. 11, n. 1, p. 53, doi. 10.18514/MMN.2010.248
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6
Parametric analysis of oscillations with slowly varying frequency.
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- Radiophysics & Quantum Electronics, 2010, v. 53, n. 2, p. 132, doi. 10.1007/s11141-010-9209-9
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- Article
7
Axially symmetric continuum mechanical model for the oscillon.
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- Mathematics & Mechanics of Solids, 2023, v. 28, n. 1, p. 38, doi. 10.1177/10812865221107413
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- Article
8
The linear Paul Trap's Confined Stability Area for 40Ca+ Ions.
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- Journal of the College Of Basic Education, 2024, v. 30, n. 123, p. 57
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9
Design and performance evaluation of a novel square ion trap with mass analysis in the radial a axial directions.
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- Instrumentation Science & Technology, 2017, v. 45, n. 2, p. 190, doi. 10.1080/10739149.2016.1219365
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10
Numerical Study of Fractional Mathieu Differential Equation Using Radial Basis Functions.
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- Mathematical Modelling of Engineering Problems, 2020, v. 7, n. 4, p. 568, doi. 10.18280/mmep.070409
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11
Integral representations and integral transforms of some families of Mathieu type series.
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- Integral Transforms & Special Functions, 2008, v. 19, n. 7, p. 481, doi. 10.1080/10652460801965456
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12
On multiple generalized Mathieu series.
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- Integral Transforms & Special Functions, 2006, v. 17, n. 4, p. 285, doi. 10.1080/10652460500431966
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13
Integral representation of Mathieu (a, λ)-series.
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- Integral Transforms & Special Functions, 2005, v. 16, n. 8, p. 685, doi. 10.1080/10652460500110297
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- Article
14
Finite noncrystallographic groups, 11-vertex equi-edged triangulated clusters and polymorphic transformations in metals.
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- Acta Crystallographica. Section A, Foundations & Advances, 2014, v. 70, n. 6, p. 616, doi. 10.1107/S2053273314015733
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- Article
15
Effect of noise on the stability of electrodynamically levitated one or many charged droplets.
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- European Physical Journal E -- Soft Matter, 2019, v. 42, n. 12, p. 1, doi. 10.1140/epje/i2019-11919-3
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- Article
16
A dual principle for symmetric periodic solutions Bi-stability in noninterdigitated Comb-drive MEMS.
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- Discrete & Continuous Dynamical Systems - Series B, 2024, v. 29, n. 8, p. 1, doi. 10.3934/dcdsb.2024014
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17
Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty.
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- International Journal of Control, 2007, v. 80, n. 6, p. 872, doi. 10.1080/00207170601185988
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18
NEW INTEGRAL AND SERIES REPRESENTATIONS OF THE GENERALIZED MATHIEU SERIES.
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- Applicable Analysis & Discrete Mathematics, 2008, v. 2, n. 2, p. 205, doi. 10.2298/AADM0802205T
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19
Investigation of instability in ultrasonic welding under parametric excitation.
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- International Journal of Electrical Engineering Education, 2025, v. 62, n. 1, p. 56, doi. 10.1177/0020720920983508
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- Article
20
Relativistic Bosons in Time-Harmonic Electric Fields.
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- International Journal of Theoretical Physics, 2012, v. 51, n. 2, p. 526, doi. 10.1007/s10773-011-0931-7
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21
Two Charged Particles in the Plane Under a Constant Perpendicular Magnetic Field.
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- International Journal of Theoretical Physics, 2011, v. 50, n. 7, p. 2019, doi. 10.1007/s10773-010-0539-3
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22
The Quantum Fluctuations of Two Coupled Josephson Junctions with the Discreteness of Electric Charge.
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- International Journal of Theoretical Physics, 2007, v. 46, n. 11, p. 2808, doi. 10.1007/s10773-007-9392-4
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23
Radiation characteristics of N axially slotted antenna on a lossy dielectric-coated elliptic cylinder.
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- Canadian Journal of Physics, 2004, v. 82, n. 2, p. 141, doi. 10.1139/p03-099
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24
New results for Brillouin electron beam focusing system.
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- Boundary Value Problems, 2017, v. 2017, n. 1, p. 1, doi. 10.1186/s13661-017-0800-2
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- Article
25
Graphene under perpendicular incidence of electromagnetic waves: Gaps and band structure.
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- Philosophical Magazine, 2010, v. 90, n. 21, p. 2977, doi. 10.1080/14786431003757794
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26
Symmetries of the Confluent Heun Equation.
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- Journal of Mathematical Sciences, 2003, v. 117, n. 2, p. 3918, doi. 10.1023/A:1024610623568
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27
Control and Estimation in Linear Time-Varying Systems Based on Ellipsoidal Reachability Sets.
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- Automation & Remote Control, 2020, v. 81, n. 8, p. 1367, doi. 10.1134/S0005117920080019
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28
Study on stability of cable-anchored underwater platform by parametric excitation.
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- Noise & Vibration Worldwide, 2021, v. 52, n. 9, p. 243, doi. 10.1177/09574565211000444
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- Article
29
Damped Mathieu Equation with a Modulation Property of the Homotopy Perturbation Method.
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- Sound & Vibration, 2022, v. 56, n. 1, p. 21, doi. 10.32604/sv.2022.014166
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- Article
30
Dynamic characteristics of functionally graded material sandwich plates in thermal environments.
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- Mechanics of Advanced Materials & Structures, 2017, v. 24, n. 2, p. 157, doi. 10.1080/15376494.2015.1124949
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31
Analysis of the quadrupole mass filter with quadrupole excitation by the envelope equation method.
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- Technical Physics, 2016, v. 61, n. 11, p. 1715, doi. 10.1134/S1063784216110268
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32
TECHNOLOGICAL DYNAMICS OF NON-STATIONARY SYSTEMS DURING FINISHING INTERMITTENT CUTTING.
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- Proceedings of Odessa Polytechnic University / Odes'kyi Politechnichnyi Universytet Pratsi, 2024, v. 70, n. 2, p. 5, doi. 10.15276/opu.2.70.2024.01
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33
Wall-damped Faraday waves in horizontally oscillating two-layer fluid flows.
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- Journal of Fluid Mechanics, 2025, v. 1002, p. 1, doi. 10.1017/jfm.2024.1151
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- Article
34
A Novel Procedure in Scrutinizing a Cantilever Beam with Tip Mass: Analytic and Bifurcation.
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- Axioms (2075-1680), 2025, v. 14, n. 1, p. 16, doi. 10.3390/axioms14010016
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35
Fractional Integration and Differentiation of the Generalized Mathieu Series.
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- Axioms (2075-1680), 2017, v. 6, n. 3, p. 18, doi. 10.3390/axioms6030018
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36
Observational constraints and preheating in cuscuton inflation.
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- European Physical Journal C -- Particles & Fields, 2023, v. 83, n. 5, p. 1, doi. 10.1140/epjc/s10052-023-11566-z
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- Article
37
Modeling the Link Between Electric Fields and Three Films of Porous Channel Flow.
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- Journal of Engineering Science & Technology Review, 2024, v. 17, n. 3, p. 1, doi. 10.25103/jestr.173.01
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38
The exact spread of the Mathieu group M<sub>11</sub>.
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- Journal of Group Theory, 2007, v. 10, n. 2, p. 167, doi. 10.1515/JGT.2007.012
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- Article
39
Mathieu--type Series for the ℵ-function Occurring in Fokker--Planck Equation.
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- European Journal of Pure & Applied Mathematics, 2010, v. 3, n. 6, p. 980
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40
THE QUANTIZATION OF A MESOSCOPIC TRANSMISSION LINE WITH THE DISCRETENESS OF ELECTRIC CHARGE.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2009, v. 23, n. 15, p. 3287, doi. 10.1142/S0217979209052509
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- Article
41
Oscillator Simulation with Deep Neural Networks.
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- Mathematics (2227-7390), 2024, v. 12, n. 7, p. 959, doi. 10.3390/math12070959
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- Article
42
Static and Dynamic Stability of Carbon Fiber Reinforced Polymer Cylindrical Shell Subject to Non-Normal Boundary Condition with One Generatrix Clamped.
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- Mathematics (2227-7390), 2022, v. 10, n. 9, p. 1531, doi. 10.3390/math10091531
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- Article
43
The Instability and Response Studies of a Top-Tensioned Riser under Parametric Excitations Using the Differential Quadrature Method.
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- Mathematics (2227-7390), 2022, v. 10, n. 8, p. N.PAG, doi. 10.3390/math10081331
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44
A Singularly P-Stable Multi-Derivative Predictor Method for the Numerical Solution of Second-Order Ordinary Differential Equations.
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- Mathematics (2227-7390), 2021, v. 9, n. 8, p. 806, doi. 10.3390/math9080806
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45
An embedded couple stress micro-/nano-obstacle with micro-inertia incident upon by SH-waves.
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- Acta Mechanica, 2018, v. 229, n. 8, p. 3333, doi. 10.1007/s00707-018-2171-x
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46
Impact of parametric resonance on the contacting surfaces fracture mechanism during friction and wear-out.
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- Metallurgical & Mining Industry, 2018, n. 3, p. 20
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47
To Integration of the Damped Mathieu Equation in the Monograph of N. N. Bogoliubov and Y. A. Mitropolsky "Asymptotic Methods in the Theory of Nonlinear Oscillations".
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- Computational Mathematics & Mathematical Physics, 2022, v. 62, n. 12, p. 2041, doi. 10.1134/S0965542522120090
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48
Cauchy problem for the Mathieu equation away from parametric resonance.
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- Computational Mathematics & Mathematical Physics, 2011, v. 51, n. 8, p. 1325, doi. 10.1134/S0965542511080136
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49
A note on the periodic solutions of a Mathieu-Duffing type equations.
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- Mathematische Nachrichten, 2017, v. 290, n. 7, p. 1113, doi. 10.1002/mana.201400122
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50
Solution of generalized fractional kinetic equations with generalized Mathieu series.
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- Georgian Mathematical Journal, 2024, v. 31, n. 2, p. 187, doi. 10.1515/gmj-2023-2064
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