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146 peer-reviewed articles • 3,603 peer-reviewed citations • Sorted by year • Download PDF (PDF by citations)
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1Synchronization in Pairs of Opto-Thermally Driven Mechanically Coupled Micro-Oscillators
Journal of Microelectromechanical Systems, 2023, 32, 136-142
2.02Citations (PDF)
2What limits the oscillations’ amplitude in the single-branch pulsating heat pipe
Nonlinear Dynamics, 2022, 108, 27-59
5.09Citations (PDF)
3Queues with Delayed Information: A Dynamical Systems Perspective
SIAM Journal on Applied Dynamical Systems, 2022, 21, 676-713
1.53Citations (PDF)
4Bistability in Coupled Opto-Thermal Micro-Oscillators
Journal of Microelectromechanical Systems, 2022, 31, 580-588
2.02Citations (PDF)
5Synchronization characteristics of an array of coupled MEMS limit cycle oscillators
International Journal of Non-Linear Mechanics, 2021, 128, 103634
2.913Citations (PDF)
6Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis
Nonlinear Dynamics, 2021, 103, 503-515
5.05Citations (PDF)
7Breaking the Symmetry in Queues with Delayed Information
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021, 31, 2130027
1.94Citations (PDF)
8Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators
Journal of Differential Equations, 2020, 268, 5969-5995
2.015Citations (PDF)
9Limiting the oscillations in queues with delayed information through a novel type of delay announcement
Queueing Systems, 2020, 95, 281-330
0.514Citations (PDF)
10Coexisting modes and bifurcation structure in a pair of coupled detuned third order oscillators
International Journal of Non-Linear Mechanics, 2020, 122, 103464
2.94Citations (PDF)
11A Stochastic Analysis of Queues with Customer Choice and Delayed Information
Mathematics of Operations Research, 2020, 45, 1104-1126
1.818Citations (PDF)
12The mathieu differential equation and generalizations to infinite fractafolds
Communications on Pure and Applied Analysis, 2020, 19, 1795-1845
0.82Citations (PDF)
13Mechanical Superheterodyne and Its Use for Low Frequency Vibrations Sensing
Journal of Microelectromechanical Systems, 2019, 28, 362-371
2.02Citations (PDF)
14Nonlinear Dynamics in Queueing Theory: Determining the Size of Oscillations in Queues with Delay
SIAM Journal on Applied Dynamical Systems, 2019, 18, 279-311
1.532Citations (PDF)
15Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators
Nonlinear Dynamics, 2019, 99, 73-83
5.08Citations (PDF)
16Locking of electrostatically coupled thermo-optically driven MEMS limit cycle oscillators
International Journal of Non-Linear Mechanics, 2018, 102, 92-100
2.925Citations (PDF)
17Mathieu's Equation and Its Generalizations: Overview of Stability Charts and Their Features
Applied Mechanics Reviews, 2018, 70,
13.7261Citations (PDF)
18An analysis of queues with delayed information and time-varying arrival rates
Nonlinear Dynamics, 2018, 91, 2411-2427
5.043Citations (PDF)
19Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies
Physical Review Letters, 2018, 121,
8.212Citations (PDF)
20Delay-Coupled Mathieu Equations in Synchrotron Dynamics Revisited: Delay Terms in the Slow Flow
Journal of Applied Nonlinear Dynamics, 2018, 7, 349-360
0.11Citations (PDF)
21The Dynamics of One Way Coupling in a System of Nonlinear Mathieu Equations
The Open Mechanical Engineering Journal, 2018, 12, 108-123
0.45Citations (PDF)
22Periodically forced delay limit cycle oscillator
International Journal of Non-Linear Mechanics, 2017, 94, 216-222
2.96Citations (PDF)
23Queues with Choice via Delay Differential Equations
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2017, 27, 1730016
1.943Citations (PDF)
24Low-Power Photothermal Self-Oscillation of Bimetallic Nanowires
Nano Letters, 2017, 17, 3995-4002
8.714Citations (PDF)
25Analysis of a remarkable singularity in a nonlinear DDE
Nonlinear Dynamics, 2017, 90, 317-323
5.013Citations (PDF)
26Lossless crossing of a resonance stopband during tune modulation by synchrotron oscillations
New Journal of Physics, 2017, 19, 093010
2.93Citations (PDF)
27Dynamics of a Delay Limit Cycle Oscillator with Self-Feedback
Procedia IUTAM, 2016, 19, 152-160
0.85Citations (PDF)
28A Model of Evolutionary Dynamics with Quasiperiodic Forcing
Procedia IUTAM, 2016, 19, 11-18
0.80Citations (PDF)
29Dynamics of an oscillator with delay parametric excitation
International Journal of Non-Linear Mechanics, 2016, 78, 66-71
2.910Citations (PDF)
30Delay-Coupled Mathieu Equations in Synchrotron Dynamics
Journal of Applied Nonlinear Dynamics, 2016, 5, 337-348
0.18Citations (PDF)
31Delay Terms in the Slow Flow
Journal of Applied Nonlinear Dynamics, 2016, 5, 471-484
0.19Citations (PDF)
32Dynamics of a delay limit cycle oscillator with self-feedback
Nonlinear Dynamics, 2015, 82, 481-488
5.07Citations (PDF)
33Master-Slave Locking of Optomechanical Oscillators over a Long Distance
Physical Review Letters, 2015, 114,
8.242Citations (PDF)
34Hopf Bifurcations in Delayed Rock–Paper–Scissors Replicator Dynamics
Dynamic Games and Applications, 2015, 6, 139-156
1.132Citations (PDF)
35Disappearance of Resonance Tongues
Journal of Applied Nonlinear Dynamics, 2015, 4, 1-9
0.12Citations (PDF)
36A Model of Evolutionary Dynamics with Quasiperiodic Forcing
Journal of Applied Nonlinear Dynamics, 2015, 4, 131-140
0.11Citations (PDF)
37About a class of nonlinear oscillators with amplitude-independent frequency
Nonlinear Dynamics, 2013, 74, 455-465
5.021Citations (PDF)
38Analysis of laser power threshold for self oscillation in thermo-optically excited doubly supported MEMS beams
International Journal of Non-Linear Mechanics, 2013, 57, 10-15
2.98Citations (PDF)
39Entrainment of Micromechanical Limit Cycle Oscillators in the Presence of Frequency Instability
Journal of Microelectromechanical Systems, 2013, 22, 835-845
2.013Citations (PDF)
40Multiple limit cycles in laser interference transduced resonators
International Journal of Non-Linear Mechanics, 2013, 52, 119-126
2.99Citations (PDF)
41Straight-line backbone curve
Communications in Nonlinear Science and Numerical Simulation, 2013, 18, 2281-2288
3.414Citations (PDF)
42Parametric Excitation and Evolutionary Dynamics
Journal of Applied Mechanics, Transactions ASME, 2013, 80,
2.45Citations (PDF)
43Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System
ESAIM: Proceedings and Surveys, 2013, 39, 57-65
0.22Citations (PDF)
44Nonlinear parametric excitation of an evolutionary dynamical system
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2012, 226, 1912-1920
1.78Citations (PDF)
45Dynamics of a mass–spring–pendulum system with vastly different frequencies
Nonlinear Dynamics, 2012, 70, 25-41
5.020Citations (PDF)
46Anchor deformations drive limit cycle oscillations in interferometrically transduced MEMS beams
Finite Elements in Analysis and Design, 2012, 49, 52-57
3.117Citations (PDF)
47Dynamics of microbubble oscillators with delay coupling
Nonlinear Dynamics, 2012, 71, 121-132
5.017Citations (PDF)
48Evolutionary dynamics of a system with periodic coefficients
Communications in Nonlinear Science and Numerical Simulation, 2011, 16, 3887-3895
3.414Citations (PDF)
49A pair of van der Pol oscillators coupled by fractional derivatives
Nonlinear Dynamics, 2011, 69, 313-324
5.025Citations (PDF)
50Using delay to quench undesirable vibrations
Nonlinear Dynamics, 2010, 62, 407-416
5.027Citations (PDF)
51Dynamics of three coupled limit cycle oscillators with vastly different frequencies
Nonlinear Dynamics, 2010, 64, 131-145
5.08Citations (PDF)
52Slow Passage through Multiple Parametric Resonance Tongues
JVC/Journal of Vibration and Control, 2009, 15, 1581-1600
2.28Citations (PDF)
53Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
Communications in Nonlinear Science and Numerical Simulation, 2009, 14, 270-283
3.420Citations (PDF)
54Dynamics of a ring of three coupled relaxation oscillators
Communications in Nonlinear Science and Numerical Simulation, 2009, 14, 1598-1608
3.410Citations (PDF)
55Three oscillator model of the heartbeat generator
Communications in Nonlinear Science and Numerical Simulation, 2009, 14, 2434-2449
3.413Citations (PDF)
56Dynamics of a ring network of phase-only oscillators
Communications in Nonlinear Science and Numerical Simulation, 2009, 14, 3901-3913
3.42Citations (PDF)
57Origin of arrhythmias in a heart model
Communications in Nonlinear Science and Numerical Simulation, 2009, 14, 3707-3714
3.45Citations (PDF)
58Hopf bifurcation in a DDE model of gene expression
Communications in Nonlinear Science and Numerical Simulation, 2008, 13, 235-242
3.470Citations (PDF)
59Dynamics of four coupled phase-only oscillators
Communications in Nonlinear Science and Numerical Simulation, 2008, 13, 501-507
3.411Citations (PDF)
60Center manifold analysis of a DDE model of gene expression
Communications in Nonlinear Science and Numerical Simulation, 2008, 13, 1112-1120
3.417Citations (PDF)
61Autoparametric quasiperiodic excitation
International Journal of Non-Linear Mechanics, 2008, 43, 320-327
2.99Citations (PDF)
62Singular unlocking transition in the Winfree model of coupled oscillators
Physical Review E, 2007, 75,
2.142Citations (PDF)
63Effect of quasiperiodic gravitational modulation on the stability of a heated fluid layer
Physical Review E, 2007, 76,
2.135Citations (PDF)
64Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
Communications in Nonlinear Science and Numerical Simulation, 2007, 12, 794-803
3.487Citations (PDF)
65Perturbation analysis of entrainment in a micromechanical limit cycle oscillator
Communications in Nonlinear Science and Numerical Simulation, 2007, 12, 1291-1301
3.433Citations (PDF)
66Trigonometric simplification of a class of conservative nonlinear oscillators
Nonlinear Dynamics, 2007, 49, 193-201
5.02Citations (PDF)
67Two models for the parametric forcing of a nonlinear oscillator
Nonlinear Dynamics, 2007, 50, 147-160
5.03Citations (PDF)
682:1 Resonance in the delayed nonlinear Mathieu equation
Nonlinear Dynamics, 2007, 50, 341-352
5.046Citations (PDF)
69Hopf bifurcation formula for first order differential-delay equations
Communications in Nonlinear Science and Numerical Simulation, 2007, 12, 859-864
3.432Citations (PDF)
70Stability of strongly nonlinear normal modes
Communications in Nonlinear Science and Numerical Simulation, 2007, 12, 1128-1132
3.49Citations (PDF)
71Frequency locking in a forced Mathieu–van der Pol–Duffing system
Nonlinear Dynamics, 2007, 54, 3-12
5.054Citations (PDF)
72The Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance
Nonlinear Dynamics, 2006, 45, 237-247
5.013Citations (PDF)
73Analysis of Frequency Locking in Optically Driven MEMS Resonators
Journal of Microelectromechanical Systems, 2006, 15, 1546-1554
2.034Citations (PDF)
74Coexistence phenomenon in autoparametric excitation of two degree of freedom systems
International Journal of Non-Linear Mechanics, 2005, 40, 1160-1170
2.915Citations (PDF)
75Self-thinning and community persistence in a simple size-structured dynamical model of plant growth
Journal of Mathematical Biology, 2005, 51, 333-354
1.910Citations (PDF)
76Parametric Resonance of Hopf Bifurcation
Nonlinear Dynamics, 2005, 39, 411-421
5.018Citations (PDF)
772:1:1 Resonance in the Quasi-Periodic Mathieu Equation
Nonlinear Dynamics, 2005, 40, 195-203
5.033Citations (PDF)
78Third-order intermodulation in a micromechanical thermal mixer
Journal of Microelectromechanical Systems, 2005, 14, 1244-1252
2.031Citations (PDF)
79Perturbation solution for secondary bifurcation in the quadratically-damped Mathieu equation
International Journal of Non-Linear Mechanics, 2004, 39, 491-502
2.941Citations (PDF)
80Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities
International Journal of Non-Linear Mechanics, 2004, 39, 1079-1091
2.956Citations (PDF)
81Dynamics of two van der Pol oscillators coupled via a bath
International Journal of Solids and Structures, 2004, 41, 2133-2143
2.861Citations (PDF)
82Limit Cycle Oscillations in CW Laser-Driven NEMS
Journal of Microelectromechanical Systems, 2004, 13, 1018-1026
2.086Citations (PDF)
83Title is missing!
Nonlinear Dynamics, 2003, 31, 367-374
5.049Citations (PDF)
84Title is missing!
Nonlinear Dynamics, 2003, 31, 73-89
5.017Citations (PDF)
85Tree size frequency distributions, plant density, age and community disturbance
Ecology Letters, 2003, 6, 405-411
7.5136Citations (PDF)
86Size-dependent species richness: trends within plant communities and across latitude
Ecology Letters, 2003, 6, 631-636
7.541Citations (PDF)
87Frequency entrainment for micromechanical oscillator
Applied Physics Letters, 2003, 83, 3281-3283
3.082Citations (PDF)
88A numerical investigation of the dynamics of a system of two time-delay coupled relaxation oscillators
Communications on Pure and Applied Analysis, 2003, 2, 567-577
0.89Citations (PDF)
89Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics
Journal of Difference Equations and Applications, 2002, 8, 1147-1169
1.110Citations (PDF)
90Bifurcations in a Mathieu equation with cubic nonlinearities
Chaos, Solitons and Fractals, 2002, 14, 173-181
4.874Citations (PDF)
91Bifurcations in a Mathieu equation with cubic nonlinearities: Part II
Communications in Nonlinear Science and Numerical Simulation, 2002, 7, 107-121
3.423Citations (PDF)
92Subharmonic resonance in the non-linear Mathieu equation
International Journal of Non-Linear Mechanics, 2002, 37, 43-73
2.952Citations (PDF)
93Title is missing!
Nonlinear Dynamics, 2002, 27, 87-105
5.041Citations (PDF)
94Title is missing!
Nonlinear Dynamics, 2002, 30, 205-221
5.0141Citations (PDF)
95Title is missing!
Nonlinear Dynamics, 2001, 25, 49-64
5.06Citations (PDF)
96Sequences of orbits and the boundaries of the basin of attraction for two double heteroclinic orbits
International Journal of Non-Linear Mechanics, 1999, 34, 1047-1059
2.94Citations (PDF)
97Title is missing!
Nonlinear Dynamics, 1999, 18, 159-184
5.021Citations (PDF)
98Dynamics of a nonlinear parametrically excited partial differential equation
Chaos, 1999, 9, 242-253
2.619Citations (PDF)
99Transition Curves for the Quasi-Periodic Mathieu Equation
SIAM Journal on Applied Mathematics, 1998, 58, 1094-1115
1.899Citations (PDF)
100Mathematical Model of a Placido Disk Keratometer and Its Implications for Recovery of Corneal Topography
Optometry and Vision Science, 1997, 74, 926-930
1.041Citations (PDF)
101Title is missing!
Celestial Mechanics and Dynamical Astronomy, 1997, 67, 111-130
1.35Citations (PDF)
102MODAL ANALYSIS OF A CRACKED BEAM
Journal of Sound and Vibration, 1997, 207, 249-270
4.3235Citations (PDF)
103Synchronous Locking of Tidally Evolving Satellites
Icarus, 1996, 122, 166-192
2.8109Citations (PDF)
104Dynamics of a nonlinear parametrically-excited PDE: 2-term truncation
Mechanics Research Communications, 1996, 23, 283-289
2.020Citations (PDF)
105Nonlinear control of dual-spin spacecraft during despin through precession phase lock
Journal of Guidance, Control, and Dynamics, 1996, 19, 60-67
2.715Citations (PDF)
106Spinup dynamics of axial dual-spin spacecraft
Journal of Guidance, Control, and Dynamics, 1994, 17, 30-37
2.782Citations (PDF)
107Oscillatory reaction-diffusion equations on rings
Journal of Mathematical Biology, 1994, 32, 617-632
1.97Citations (PDF)
108Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment
Journal of Applied Mechanics, Transactions ASME, 1991, 58, 559-565
2.480Citations (PDF)
109Averaging using elliptic functions: approximation of limit cycles
Acta Mechanica, 1990, 81, 125-142
2.3149Citations (PDF)
110Chaos in a system with a periodically disappearing separatrix
Nonlinear Dynamics, 1990, 1, 401-420
5.011Citations (PDF)
111Resonance in a high-speed flexible-arm robot
Dynamical Systems, 1989, 4, 169-188
1.15Citations (PDF)
112Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems
Nonlinearity, 1989, 2, 405-418
1.418Citations (PDF)
113Analytical approximation for period-doubling following a hopf bifurcation
Mechanics Research Communications, 1989, 16, 117-123
2.024Citations (PDF)
114The transition to chaos in a simple mechanical system
International Journal of Non-Linear Mechanics, 1989, 24, 41-56
2.9136Citations (PDF)
115Computer Algebra Implementation of Lie Transforms for Hamiltonian Systems: Application to the Nonlinear Stability ofL4
ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 1989, 69, 275-284
2.124Citations (PDF)
116Subharmonic entrainment of a forced relaxation oscillator
International Journal of Non-Linear Mechanics, 1988, 23, 231-239
2.913Citations (PDF)
117Lie transforms applied to a non-linear parametric excitation problem
International Journal of Non-Linear Mechanics, 1988, 23, 297-313
2.94Citations (PDF)
118The transition from phase locking to drift in a system of two weakly coupled van der pol oscillators
International Journal of Non-Linear Mechanics, 1988, 23, 369-376
2.982Citations (PDF)
119A simplified model of coupled relaxation oscillators
International Journal of Non-Linear Mechanics, 1987, 22, 283-289
2.915Citations (PDF)
120Dynamics of Two Strongly Coupled Relaxation Oscillators
SIAM Journal on Applied Mathematics, 1986, 46, 56-67
1.841Citations (PDF)
121Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA
Journal of Applied Mechanics, Transactions ASME, 1985, 52, 686-692
2.47Citations (PDF)
122Eye movements and the enhancement of edges
Journal of Mathematical Biology, 1985, 21, 273-283
1.91Citations (PDF)
123An analysis of resistance to water flow through wheat and tall fescue leaves during pressure chamber efflux experiments
Plant, Cell and Environment, 1985, 8, 7-18
6.510Citations (PDF)
124Numerical Corrections of Wu's Coefficients for Scattering of High-Frequency Waves from Spheres and Cylinders
Physical Review Letters, 1985, 55, 555-557
8.24Citations (PDF)
1251?1 and 2?1 phase entrainment in a system of two coupled limit cycle oscillators
Journal of Mathematical Biology, 1984, 20,
1.940Citations (PDF)
126Fluid Mechanics of Green Plants
Annual Review of Fluid Mechanics, 1983, 15, 29-45
22.346Citations (PDF)
127Bifurcation of 4:1 subharmonics in the nonlinear mathieu equation
Mechanics Research Communications, 1982, 9, 233-240
2.015Citations (PDF)
128Dynamics of coupled stomatal oscillators
Journal of Mathematical Biology, 1982, 15, 131-149
1.918Citations (PDF)
129Hopf bifurcation in a stomatal oscillator
Journal of Mathematical Biology, 1982, 12, 1-11
1.925Citations (PDF)
130The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model
Journal of Mathematical Biology, 1982, 13, 345-369
1.9516Citations (PDF)
131Coupled oscillators as a model for nonlinear parametric excitation
Mechanics Research Communications, 1981, 8, 263-268
2.012Citations (PDF)
132An Application of the Poincare´ Map to the Stability of Nonlinear Normal Modes
Journal of Applied Mechanics, Transactions ASME, 1980, 47, 645-651
2.443Citations (PDF)
133The dynamics of an evaporating meniseus
Acta Mechanica, 1978, 29, 135-146
2.313Citations (PDF)
134A hydrodynamical model of bordered pits in conifer tracheids
Journal of Theoretical Biology, 1977, 67, 11-24
1.614Citations (PDF)
135The Wheel Shimmy Problem: Its Relationship to Wheel and Road Irregularities
Vehicle System Dynamics, 1975, 4, 9-41
3.59Citations (PDF)
136A direct method for non-linear normal modes
International Journal of Non-Linear Mechanics, 1974, 9, 363-368
2.990Citations (PDF)
137The geometrical stability of non-linear normal modes in two degree of freedom systems
International Journal of Non-Linear Mechanics, 1973, 8, 161-168
2.920Citations (PDF)
138Geometrical dynamics: A new approach to periodic orbits aroundL 4
Celestial Mechanics, 1972, 6, 416-420
0.03Citations (PDF)
139A higher order approximation for non-linear normal modes in two degree of freedom systems
International Journal of Non-Linear Mechanics, 1971, 6, 545-547
2.944Citations (PDF)
140On the stability of the vibrations of a particle in the plane restrained by two non-identical springs
International Journal of Non-Linear Mechanics, 1970, 5, 1-9
2.98Citations (PDF)
141Stability of the triangular points in the elliptic restricted problem of three bodies.
AIAA Journal, 1969, 7, 1024-1028
2.324Citations (PDF)
142On the Stability of the Vibrations of Two Coupled Particles in the Plane
Journal of Applied Mechanics, Transactions ASME, 1969, 36, 417-419
2.40Citations (PDF)
143Torsional Vibrations of Elastic Prolate Spheroids
Journal of the Acoustical Society of America, 1968, 44, 749-751
1.713Citations (PDF)
144Vibrations of Fluid‐Filled Spherical and Spheroidal Shells
Journal of the Acoustical Society of America, 1967, 42, 1278-1286
1.757Citations (PDF)
145Axisymmetric Vibrations of Prolate Spheroidal Shells
Journal of the Acoustical Society of America, 1966, 40, 179-186
1.718Citations (PDF)
146Mathematical Model of a Placido Disk Keratometer and Its Implications for Recovery of Corneal Topography
Optometry and Vision Science, 0, 74, 926-930
1.01Citations (PDF)