Changpin Li
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Engineering
Changpin Li's Degrees
- PhD Electrical Engineering Stanford University
- Masters Electrical Engineering Stanford University
- Bachelors Electrical Engineering Tsinghua University
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(Suggest an Edit or Addition)Changpin Li's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Stability analysis of linear fractional differential system with multiple time delays (2007) (757)
- Remarks on fractional derivatives (2007) (593)
- Chaos in Chen's system with a fractional order (2004) (515)
- Numerical Methods for Fractional Calculus (2015) (507)
- Chaos synchronization of the fractional Lü system (2005) (401)
- A survey on the stability of fractional differential equations (2011) (340)
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion (2011) (323)
- A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation (2014) (302)
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation (2013) (286)
- Synchronization between two coupled complex networks. (2007) (275)
- Chaos synchronization of the Chua system with a fractional order (2006) (232)
- On Riemann-Liouville and Caputo Derivatives (2011) (231)
- Fractional calculus and its applications (2013) (223)
- Numerical approaches to fractional calculus and fractional ordinary differential equation (2011) (221)
- Stability analysis of fractional differential system with Riemann-Liouville derivative (2010) (205)
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy (2015) (197)
- On the fractional Adams method (2009) (187)
- Generalized projective synchronization of a unified chaotic system (2005) (185)
- Finite difference Methods for fractional differential equations (2012) (177)
- A note on the finite element method for the space-fractional advection diffusion equation (2010) (162)
- The Finite Difference Methods for Fractional Ordinary Differential Equations (2013) (156)
- Spectral approximations to the fractional integral and derivative (2012) (145)
- Fractional dynamical system and its linearization theorem (2013) (137)
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations (2016) (133)
- Fractional difference/finite element approximations for the time-space fractional telegraph equation (2012) (131)
- On chaos synchronization of fractional differential equations (2007) (129)
- Finite difference Schemes for Variable-Order Time fractional Diffusion equation (2012) (124)
- Numerical algorithm based on Adomian decomposition for fractional differential equations (2009) (122)
- The synchronization of three fractional differential systems (2007) (121)
- Synchronization in fractional-order differential systems (2005) (120)
- Outer synchronization of coupled discrete-time networks. (2009) (118)
- Fractional differential models for anomalous diffusion (2010) (118)
- High-order algorithms for Riesz derivative and their applications (II) (2015) (116)
- Higher order finite difference method for the reaction and anomalous-diffusion equation☆☆☆ (2014) (108)
- Synchronization of Chaotic Fractional Chen System (2005) (99)
- Theory and Numerical Approximations of Fractional Integrals and Derivatives (2019) (90)
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II) (2015) (87)
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (III) (2016) (85)
- Numerical methods for fractional partial differential equations (2018) (84)
- Synchronization of complex dynamical networks with time delays (2006) (81)
- Chaos synchronization in fractional differential systems (2013) (78)
- CHAOS SYNCHRONIZATION OF FRACTIONAL-ORDER DIFFERENTIAL SYSTEMS (2006) (78)
- High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions (2015) (77)
- Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2) (2011) (72)
- An improved version of the Marotto Theorem (2003) (71)
- On the bound of the Lyapunov exponents for the fractional differential systems. (2010) (71)
- Generalized synchronization between two different complex networks (2012) (70)
- Homotopy analysis method for solving fractional Lorenz system (2010) (68)
- Convergence speed of a fractional order consensus algorithm over undirected scale‐free networks (2011) (67)
- The evolution of chaotic dynamics for fractional unified system (2008) (65)
- ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS (2007) (64)
- A Note on Hopf bifurcation in Chen's System (2003) (64)
- Does the fractional Brusselator with efficient dimension less than 1 have a limit cycle (2007) (63)
- High-Order Algorithms for Riesz Derivative and Their Applications $(I)$ (2014) (61)
- Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative (2011) (60)
- High-Order Algorithms for Riesz Derivative and their Applications (III) (2016) (58)
- Estimating the Lyapunov exponents of discrete systems. (2004) (57)
- Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling (2012) (51)
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (2015) (51)
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Numerical analysis (2019) (49)
- ON HADAMARD FRACTIONAL CALCULUS (2017) (49)
- Finite difference method for time-space-fractional Schrödinger equation (2015) (45)
- Generalized projective synchronization of chaos: The cascade synchronization approach (2006) (43)
- Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays (2014) (42)
- On synchronization of three chaotic systems (2005) (40)
- A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions (2004) (38)
- Numerical Solution of Fractional Diffusion-Wave Equation (2016) (36)
- On Caputo–Hadamard fractional differential equations (2020) (36)
- On Riesz derivative (2019) (34)
- Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term (2013) (34)
- A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions (2016) (33)
- Mixed spline function method for reaction-subdiffusion equations (2013) (33)
- Numerics for the fractional Langevin equation driven by the fractional Brownian motion (2012) (32)
- Stability Analysis of Differential Equations with Time-Dependent Delay (2006) (32)
- On the Marotto–Li–Chen theorem and its application to chaotification of multi-dimensional discrete dynamical systems (2003) (32)
- On Finite Part Integrals and Hadamard-Type Fractional Derivatives (2018) (31)
- A new Crank–Nicolson finite element method for the time-fractional subdiffusion equation☆ (2017) (31)
- A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation (2010) (30)
- Bifurcations of a Holling-Type II predator-prey System with Constant Rate Harvesting (2009) (29)
- The finite difference method for Caputo-type parabolic equation with fractional Laplacian: One-dimension case (2017) (28)
- A High-Order Accurate Numerical Scheme for the Caputo Derivative with Applications to Fractional Diffusion Problems (2018) (28)
- Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation (2020) (27)
- High‐order algorithms for Riesz derivative and their applications (V) (2017) (27)
- High‐order compact difference schemes for the modified anomalous subdiffusion equation (2014) (26)
- Impulsive synchronization of fractional Takagi-Sugeno fuzzy complex networks. (2016) (26)
- Equivalent system for a multiple-rational-order fractional differential system (2013) (25)
- The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law (2020) (25)
- On the Hadamard Type Fractional Differential System (2012) (25)
- Existence and Continuation Theorems of Riemann-Liouville Type fractional differential equations (2012) (25)
- High-order Numerical Methods for Riesz Space Fractional Turbulent Diffusion Equation (2014) (25)
- Finite Difference Methods for Caputo–Hadamard Fractional Differential Equations (2020) (25)
- Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition (2015) (24)
- On tempered and substantial fractional calculus (2014) (23)
- On defining the distributions δk and (δ')k by fractional derivatives (2014) (22)
- Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation (2021) (22)
- Center Manifold of Fractional Dynamical System (2016) (22)
- On the bound of the Lyapunov exponents for continuous systems. (2004) (22)
- Synchronization of fractional fuzzy cellular neural networks with interactions. (2017) (21)
- Chaotic vibration in fractional maps (2014) (21)
- SYNCHRONIZATION INSIDE COMPLEX DYNAMICAL NETWORKS WITH DOUBLE TIME-DELAYS AND NONLINEAR INNER-COUPLING FUNCTIONS (2011) (21)
- High-Order Approximation to Caputo Derivatives and Caputo-type Advection–Diffusion Equations: Revisited (2017) (21)
- Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant (2022) (20)
- Synchronization of Complex Dynamical Networks with Nonlinear Inner-Coupling Functions and Time Delays (2005) (20)
- The Hankel transformation of Banach-space-valued generalized functions (1993) (20)
- A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions (2019) (20)
- A numerical approach to the generalized nonlinear fractional Fokker-Planck equation (2012) (20)
- Modeling and Computing of Fractional Convection Equation (2019) (19)
- Babenko’s Approach to Abel’s Integral Equations (2018) (19)
- Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations (2016) (19)
- The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian (2021) (18)
- High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations (2013) (18)
- An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension (2020) (17)
- Recent advances in applied nonlinear dynamics with numerical analysis : fractional dynamics, network dynamics, classical dynamics and fractal dynamics with their numerical simulations (2013) (17)
- Numerical Approaches to Fractional Integrals and Derivatives: A Review (2020) (17)
- Synchronization Analysis of Two Coupled Complex Networks with Time Delays (2011) (17)
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Mathematical analysis (2020) (17)
- The asymptotics of the solutions to the anomalous diffusion equations (2013) (16)
- Asymptotically compatible schemes for space-time nonlocal diffusion equations (2017) (16)
- Exact travelling wave solutions to the generalized Kuramoto-Sivashinsky equation (2004) (16)
- Multi-UAV-based optimal crop-dusting of anomalously diffusing infestation of crops (2014) (16)
- Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian (2020) (16)
- Stability of N-Dimensional Linear Systems with Multiple Delays and Application to Synchronization (2006) (16)
- A finite difference method for time-fractional telegraph equation (2012) (16)
- Lyapunov–Schmidt Reduction for Fractional Differential Systems (2016) (16)
- Regularity of the solution to Riesz-type fractional differential equation (2019) (15)
- Remarks on fractional derivatives of distributions (2017) (15)
- On super-chaotifying discrete dynamical systems (2004) (14)
- Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems (2021) (14)
- Bifurcation Analysis of the Kuramoto-Sivashinsky equation in One Spatial Dimension (2001) (14)
- Determination of Coefficients of High-Order Schemes for Riemann-Liouville Derivative (2014) (14)
- Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation (2018) (14)
- Pinning synchronization between two general fractional complex dynamical networks with external disturbances (2017) (13)
- Several Results of Fractional Differential and Integral Equations in Distribution (2018) (13)
- The finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension (2018) (12)
- A new second-order midpoint approximation formula for Riemann-Liouville derivative: algorithm and its application (2016) (11)
- SCALING ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS (2006) (11)
- Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach (2019) (10)
- High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: Construction and application (II) (2018) (10)
- A new method of determining chaos-parameter-region for the tent map (2004) (10)
- The Abel Integral Equations in Distribution (2017) (10)
- Remarks on the Generalized Fractional Laplacian Operator (2019) (10)
- An approach for distributional products on R m (2005) (9)
- Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case (2021) (9)
- L1/LDG method for the generalized time-fractional Burgers equation (2021) (8)
- A Fractional Model for the Allometric Scaling Laws (2008) (8)
- Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media (2013) (8)
- Topological Properties of Fibonacci Networks (2013) (8)
- Bifurcation from an Equilibrium of the Steady State Kuramoto-sivashinsky equation in Two Spatial Dimensions (2002) (8)
- Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations (2019) (8)
- Erratum to ``An improved version of the Marotto theorem'' [Chaos, Solitons and Fractals 18 (2003) 69-77] (2004) (8)
- Finite difference scheme for the time-space fractional diffusion equations (2013) (7)
- Finite-time stability analysis of fractional differential systems with variable coefficients. (2019) (7)
- Advanced Topics in Fractional Dynamics (2013) (7)
- Synchronization in delayed map lattices with scale-free interactions (2010) (7)
- Fractional differentiation matrices with applications (2014) (6)
- Bifurcations of One-Dimensional reaction-Diffusion equations (2001) (6)
- COMPARISON PRINCIPLES FOR HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS (2018) (6)
- Symmetry-breaking bifurcation in O(2)×O(2)-symmetric nonlinear large problems and its application to the Kuramoto–Sivashinsky equation in two spatial dimensions (2004) (6)
- High-order algorithms for riesz derivative and their applications (IV) (2019) (6)
- On the fractional mean-Value Theorem (2012) (6)
- Numerical simulation of the fractional Langevin equation (2012) (6)
- An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions (2017) (6)
- A Note on bifurcation Control (2003) (6)
- Numerical Methods for the Time Fractional Convection-Diffusion-Reaction Equation (2021) (5)
- Stability and ψ-algebraic decay of the solution to ψ-fractional differential system (2021) (5)
- An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System (2021) (5)
- Numerical approach to the Caputo derivative of the unknown function (2013) (5)
- The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time ψ-Caputo Derivative (2022) (5)
- Finite element methods for fractional differential equations (2013) (5)
- Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution (2021) (5)
- The neutrix convolution product in Z′(m) and the exchange formula (1998) (5)
- SYNCHRONIZATION OF LIMIT SETS (2005) (4)
- Adomian’s Method Applied to Navier-Stokes Equation With a Fractional Order (2009) (4)
- Preface: Recent Advances in Fractional Dynamics. (2016) (4)
- Bifurcation and stability of nontrivial solution to kuramoto-sivashinsky equation (1997) (4)
- Hopf Bifurcation in a Delayed Diffusive Leslie-Gower Predator-Prey Model with Herd Behavior (2019) (4)
- Numerical Approximation and Error Estimation of a Time Fractional Order Diffusion Equation (2009) (4)
- Linearization of Nonlinear Fractional Differential Systems with Riemann-Liouville and Hadamard Derivatives⋆ (2020) (4)
- The Convolution and Fractional Derivative of Distributions (2018) (3)
- Approximation to Hadamard Derivative via the Finite Part Integral (2018) (3)
- Computation of universal unfolding of the double zero bifurcation in the Z2-symmetric system (2014) (3)
- Stability analysis of the fractional differential systems with Miller-Ross sequential derivative (2010) (3)
- Well-Posedness of Fractional Differential Equations (2017) (3)
- MULTI-GROUP CONSENSUS OF HETEROGENEOUS FRACTIONAL-ORDER NONLINEAR AGENTS VIA PINNING CONTROL (2011) (2)
- Synchronization in Delayed Discrete-time Complex Networks (2005) (2)
- SCALING CHEN'S ATTRACTOR (2006) (2)
- Preface to the Focused Issue on Fractional Derivatives and General Nonlocal Models (2019) (2)
- Hopf Bifurcation of a Delayed Predator-Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting (2018) (2)
- Synchronization Analysis of Two Networks (2010) (2)
- Remarks on the initialization of Caputo derivative (2012) (2)
- NUMERICAL ALGORITHM BASED ON FAST CONVOLUTION FOR FRACTIONAL CALCULUS (2012) (2)
- A modified walk‐on‐sphere method for high dimensional fractional Poisson equation (2022) (2)
- Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise (2022) (2)
- On defining the distributions d k and ðd 0 Þ k by fractional derivatives q (2014) (2)
- Fractional differential matrices with applications (2014) (2)
- A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions (2019) (2)
- Mean first passage time of random walks on deterministic recursive trees (2012) (2)
- Difference between Riesz derivative and fractional Laplacian on the proper subset of ℝ (2021) (2)
- Hopf bifurcation of a Delayed Differential equation (2007) (2)
- The Distributional Products by the Laurent Series (2012) (1)
- High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation (2023) (1)
- Synchronizations in fractional complex networks (2019) (1)
- ON BLOW-UP FOR A TIME–SPACE FRACTIONAL PARTIAL DIFFERENTIAL EQUATION WITH EXPONENTIAL KERNEL IN TEMPORAL DERIVATIVE (2022) (1)
- Approximating Hadamard Derivative and Fractional Differential Equation via the Finite Part Integral (2018) (1)
- Applications of generalized fractional hemivariational inequalities in solid viscoelastic contact mechanics (2022) (1)
- THE PRODUCT OF ANALYTIC FUNCTIONALS IN Z (2008) (1)
- The finite element method for the generalized space fractional Fokker-Planck equation (2010) (1)
- The fractional Green's function by Babenko's approach (2020) (1)
- fractional differential system Equivalent system for a multiple-rational-order (2013) (1)
- Retraction: "Finite-time stability analysis of fractional differential systems with variable coefficients" [Chaos 29, 013110 (2019)]. (2019) (1)
- The finite difference method for Caputo-type parabolic equation with fractional Laplacian (2016) (1)
- Introduction to Fractional Calculus (2015) (1)
- Attractors for one kind of lattice dynamical system (2007) (1)
- Preface (2018) (1)
- High-order Compact Difference Schemes for Riesz Derivatives and the Riesz Spatial Telegraph Equation (2015) (1)
- An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions (2017) (0)
- Chaos in fractional difference equation (2012) (0)
- Two kinds of numerical algorithms for ultra-slow diffusion equations (2023) (0)
- High-order fractional-compact finite difference method for Riesz spatial telegraph equation (2015) (0)
- Numerics for the fractional Langevin equation driven by the fractional Brownian motion (2013) (0)
- Chaotic Attractor of the (2004) (0)
- Analysis of Fractional Dynamic Systems (2014) (0)
- Novel high-order modified-shifted formulas for Riesz derivatives and their applications (2015) (0)
- N A ] 17 A pr 2 01 4 Fractional di ff erential matrices with applications (2014) (0)
- Synchronization Between Two Coupled Networks of Discrete-Time Systems (2008) (0)
- On Suppression of Bifurcations in Continuous Dynamical Systems (2006) (0)
- Synchronization of Two Coupled Phase Oscillators (2012) (0)
- An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension (2020) (0)
- Existence and uniqueness of the solutions to the fractional differential equations (2013) (0)
- Spectral approximations to the fractional integral and derivative (2012) (0)
- Introduction (2012) (0)
- Modeling and Computing of Fractional Convection Equation (2019) (0)
- Discretised general fractional derivative (2023) (0)
- High-order finite difference methods for fractional partial differential equations (2019) (0)
- Anti-Control of Chaos in Fractional Difference Equations (2013) (0)
- Finite element method for nonlinear supperdiffusion equation (2012) (0)
- Riemann-Liouville Award ” for Best FDA Paper ( theory ) , FDA # 077 : Fractional Dynamical System and Its Linearization Theorem (2012) (0)
- A novel second-order numerical formula for the Riesz derivatives and its applications (2015) (0)
- Fractional dynamical system and its linearization theorem (2012) (0)
- High-order numerical differential formulas for Riesz derivative based on novel generating functions (2015) (0)
- PINNING IMPULSIVE SYNCHRONIZATION OF FRACTIONAL COMPLEX DYNAMICAL NETWORKS (2015) (0)
- FCAA special issue – In memory of late professor Wen Chen (FCAA–Volume 22–6–2019) (2019) (0)
- Chaotic attractor of the controlled He/spl acute/non map (2004) (0)
- Numerical analysis of the high-order scheme of the damped nonlinear space fraction Schrödinger equation (2023) (0)
- Finite dierence scheme for the time-space fractional (2013) (0)
- Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation (2021) (0)
- Equivalent Same-Order System for Multi-Rational-Order Fractional Differential System With Caputo Derivative (2011) (0)
- On the finite element method for the time-space fractional advection dispersion equation (2010) (0)
- and Jürgen Kurths systems Chaos synchronization in fractional differential (2013) (0)
- On the modified Marotto Theorem (2003) (0)
- NUMERICAL SIMULATION OF THE FRACTIONAL (2011) (0)
- An asymptotic product for $X^s\delta^{(k)}(r^2 - t^2)$ (2011) (0)
- A numerical approach to hopf bifurcation points (1998) (0)
- Monte Carlo method for parabolic equations involving fractional Laplacian (2022) (0)
- High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions (2016) (0)
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Changpin Li is affiliated with the following schools: