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#	Title	Journal	Year	Citations
1	A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations	Nonlinear Dynamics	2002	1,743
2	Spectral Properties of Dynamical Systems, Model Reduction and Decompositions	Nonlinear Dynamics	2005	785
3	Stability analysis of linear fractional differential system with multiple time delays	Nonlinear Dynamics	2007	743
4	The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview	Nonlinear Dynamics	2005	706
5	Variable Order and Distributed Order Fractional Operators	Nonlinear Dynamics	2002	668
6	A General Formulation and Solution Scheme for Fractional Optimal Control Problems	Nonlinear Dynamics	2004	609
7	Analogue Realizations of Fractional-Order Controllers	Nonlinear Dynamics	2002	484
8	SEIR modeling of the COVID-19 and its dynamics	Nonlinear Dynamics	2020	464
9	Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain	Nonlinear Dynamics	2002	408
10	A chaotic image encryption algorithm based on perceptron model	Nonlinear Dynamics	2010	408
11	A Study of the Nonlinear Response of a Resonant Microbeam to an Electric Actuation	Nonlinear Dynamics	2003	402
12	Dynamic pull-in phenomenon in MEMS resonators	Nonlinear Dynamics	2007	392
13	Model of electrical activity in a neuron under magnetic flow effect	Nonlinear Dynamics	2016	388
14	Continuous contact force models for impact analysis in multibody systems	Nonlinear Dynamics	1994	388
15	Discrete fractional logistic map and its chaos	Nonlinear Dynamics	2014	383
16	Potential benefits of a non-linear stiffness in an energy harvesting device	Nonlinear Dynamics	2010	364
17	(null)	Nonlinear Dynamics	1997	355
18	Review and comparison of dry friction force models	Nonlinear Dynamics	2016	348
19	A review for dynamics in neuron and neuronal network	Nonlinear Dynamics	2017	332
20	An image encryption scheme based on chaotic tent map	Nonlinear Dynamics	2017	327
21	Time Fractional Diffusion: A Discrete Random Walk Approach	Nonlinear Dynamics	2002	311
22	Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation	Nonlinear Dynamics	2016	305
23	Analysis of Thin Beams and Cables Using the Absolute Nodal Co-ordinate Formulation	Nonlinear Dynamics	2006	292
24	A survey and comparison of several friction force models for dynamic analysis of multibody mechanical systems	Nonlinear Dynamics	2016	292
25	Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives?an Expository Review	Nonlinear Dynamics	2004	287
26	A novel chaos-based image encryption using DNA sequence operation and Secure Hash Algorithm SHA-2	Nonlinear Dynamics	2016	285
27	Stick-Slip Vibrations Induced by Alternate Friction Models	Nonlinear Dynamics	1998	284
28	A fractional calculus based model for the simulation of an outbreak of dengue fever	Nonlinear Dynamics	2013	278
29	Mathematical modeling of population dynamics with Allee effect	Nonlinear Dynamics	2016	278
30	Lump solutions to dimensionally reduced $$\varvec{p}$$ p -gKP and $$\varvec{p}$$ p -gBKP equations	Nonlinear Dynamics	2016	273
31	Tuning of PID Controllers Based on Bode?s Ideal Transfer Function	Nonlinear Dynamics	2004	265
32	On Fractional Adaptive Control	Nonlinear Dynamics	2006	261
33	Robust adaptive neural control of flexible hypersonic flight vehicle with dead-zone input nonlinearity	Nonlinear Dynamics	2015	259
34	Adaptive synchronization of fractional-order memristor-based neural networks with time delay	Nonlinear Dynamics	2015	257
35	Reduced-Order Models for MEMS Applications	Nonlinear Dynamics	2005	256
36	Stability analysis of Caputo fractional-order nonlinear systems revisited	Nonlinear Dynamics	2012	252
37	Bifurcations in Nonlinear Discontinuous Systems	Nonlinear Dynamics	2000	248
38	Dynamics and Control of Initialized Fractional-Order Systems	Nonlinear Dynamics	2002	243
39	On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems	Nonlinear Dynamics	1993	241
40	Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor	Nonlinear Dynamics	2014	235
41	Constructing a chaotic system with any number of equilibria	Nonlinear Dynamics	2013	234
42	A parametric study on the dynamic response of planar multibody systems with multiple clearance joints	Nonlinear Dynamics	2010	231
43	Parameter estimation and controller design for dynamic systems from the step responses based on the Newton iteration	Nonlinear Dynamics	2015	230
44	Designs, analysis, and applications of nonlinear energy sinks	Nonlinear Dynamics	2020	230
45	Chaotic motions of a rigid rotor in short journal bearings	Nonlinear Dynamics	1996	229
46	On Fractional PI? Controllers: Some Tuning Rules for Robustness to Plant Uncertainties	Nonlinear Dynamics	2004	225
47	Development of fractional order capacitors based on electrolyte processes	Nonlinear Dynamics	2009	224
48	Nonlinear damping in a micromechanical oscillator	Nonlinear Dynamics	2012	224
49	Exact solution and stability of postbuckling configurations of beams	Nonlinear Dynamics	2008	222
50	Transition of Energy to a Nonlinear Localized Mode in a Highly Asymmetric System of Two Oscillators	Nonlinear Dynamics	2001	220
51	Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types	Nonlinear Dynamics	2021	215
52	Two-memristor-based Chua’s hyperchaotic circuit with plane equilibrium and its extreme multistability	Nonlinear Dynamics	2017	214
53	Numerical and experimental investigation on multibody systems with revolute clearance joints	Nonlinear Dynamics	2011	213
54	Dynamical analysis of a simple autonomous jerk system with multiple attractors	Nonlinear Dynamics	2016	212
55	Adaptive sliding mode control of dynamic system using RBF neural network	Nonlinear Dynamics	2012	211
56	Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians	Nonlinear Dynamics	2006	210
57	(null)	Nonlinear Dynamics	2002	207
58	Finite time integral sliding mode control of hypersonic vehicles	Nonlinear Dynamics	2013	207
59	Cellular Buckling in Long Structures	Nonlinear Dynamics	2000	205
60	Simulation of planar flexible multibody systems with clearance and lubricated revolute joints	Nonlinear Dynamics	2010	204
61	Adaptive feedback control and synchronization of non-identical chaotic fractional order systems	Nonlinear Dynamics	2010	203
62	Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation	Nonlinear Dynamics	2016	203
63	Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays	Nonlinear Dynamics	2014	202
64	Brief review on application of nonlinear dynamics in image encryption	Nonlinear Dynamics	2018	202
65	Subcritical Hopf Bifurcation in the Delay Equation Model for Machine Tool Vibrations	Nonlinear Dynamics	2001	201
66	Targeted energy transfers in vibro-impact oscillators for seismic mitigation	Nonlinear Dynamics	2007	201
67	Fractional conservation laws in optimal control theory	Nonlinear Dynamics	2008	201
68	A new image encryption method: parallel sub-image encryption with hyper chaos	Nonlinear Dynamics	2012	200
69	Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach	Nonlinear Dynamics	2015	200
70	On intentional introduction of stiffness nonlinearities for energy harvesting under white Gaussian excitations	Nonlinear Dynamics	2012	199
71	Exponential input-to-state stability of stochastic Cohen–Grossberg neural networks with mixed delays	Nonlinear Dynamics	2015	199
72	Particle swarm optimization with fractional-order velocity	Nonlinear Dynamics	2010	196
73	A new car-following model with consideration of inter-vehicle communication	Nonlinear Dynamics	2014	194
74	Coexisting infinitely many attractors in active band-pass filter-based memristive circuit	Nonlinear Dynamics	2016	194
75	Efficient cryptosystem approaches: S-boxes and permutation–substitution-based encryption	Nonlinear Dynamics	2017	192
76	Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation	Nonlinear Dynamics	2015	190
77	Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation	Nonlinear Dynamics	2019	189
78	Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique	Nonlinear Dynamics	2012	188
79	Piezoelectric energy harvesting from concurrent vortex-induced vibrations and base excitations	Nonlinear Dynamics	2014	187
80	Complete synchronization of chaotic complex nonlinear systems with uncertain parameters	Nonlinear Dynamics	2010	186
81	Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems	Nonlinear Dynamics	2015	186
82	Augmented lagrangian and mass-orthogonal projection methods for constrained multibody dynamics	Nonlinear Dynamics	1996	184
83	A new car-following model accounting for varying road condition	Nonlinear Dynamics	2012	183
84	Trajectory tracking sliding mode control of underactuated AUVs	Nonlinear Dynamics	2016	183
85	Recent advances in vibration control of offshore platforms	Nonlinear Dynamics	2017	183
86	Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons	Nonlinear Dynamics	2019	181
87	A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems	Nonlinear Dynamics	2011	180
88	An efficient chaotic image encryption algorithm based on a generalized Arnold map	Nonlinear Dynamics	2012	179
89	Modeling and simulation for microscopic traffic flow based on multiple headway, velocity and acceleration difference	Nonlinear Dynamics	2011	178
90	Solving the $$\mathbf{(3+1) }$$ ( 3 + 1 ) -dimensional KP–Boussinesq and BKP–Boussinesq equations by the simplified Hirota’s method	Nonlinear Dynamics	2017	178
91	Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization	Nonlinear Dynamics	2018	178
92	Analytical Stability Bound for a Class of Delayed Fractional-Order Dynamic Systems	Nonlinear Dynamics	2002	177
93	Coexistence of hidden chaotic attractors in a novel no-equilibrium system	Nonlinear Dynamics	2017	176
94	Image encryption algorithm using chaotic Chebyshev generator	Nonlinear Dynamics	2012	175
95	Soliton solutions for the fifth-order KdV equation with the homotopy analysis method	Nonlinear Dynamics	2007	174
96	Bifurcation analysis for a modified Jeffcott rotor with bearing clearances	Nonlinear Dynamics	1990	173
97	Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt	Nonlinear Dynamics	2007	173
98	(null)	Nonlinear Dynamics	2001	172
99	Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice	Nonlinear Dynamics	2014	172
100	A novel nonlinear resilient control for a quadrotor UAV via backstepping control and nonlinear disturbance observer	Nonlinear Dynamics	2016	171

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