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Chaos Theory
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top-articles
Chaos Theory
11.1K
(top 1%)
papers
271.9K
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citations
140
(top 1%)
h
-index
204
(top 1%)
g
-index
55.6K
all documents
4.8K
doc citations
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
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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