Nonlinear Dynamics

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10.1K(top 2%)

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258.0K(top 2%)

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140(top 5%)

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5.1(top 5%)

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11.6K

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272.1K

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204(top 5%)

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Top Articles

#	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

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