Denis Blackmore | Academic Influence

Denis Blackmore's AcademicInfluence.com Rankings

Denis Blackmore

Mathematics

#4837

World Rank

#6842

Historical Rank

#1631

USA Rank

Group Theory

#344

World Rank

#398

Historical Rank

#65

USA Rank

Number Theory

#409

World Rank

#508

Historical Rank

#67

USA Rank

Algebra

#695

World Rank

#910

Historical Rank

#126

USA Rank

mathematics Degrees

Download Badge

Mathematics

Denis Blackmore's Degrees

Masters Mathematics Stanford University

Why Is Denis Blackmore Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Denis Louis Blackmore was an American mathematician and a full professor of the Department of Mathematical Sciences at New Jersey Institute of Technology. He was also one of the founding members of the Center for Applied Mathematics and Statistics at NJIT. Dr. Blackmore was mainly known for his many contributions in the fields of dynamical systems and differential topology. In addition to this, he had many contributions in other fields of applied mathematics, physics, biology, and engineering.

(See a Problem?)

Denis Blackmore'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

The sweep-envelope differential equation algorithm and its application to NC machining verification (1997) (171)
A perspective on vibration-induced size segregation of granular materials (2002) (123)
Swept Volumes: Fundation, Perspectives, and Applications (2006) (92)
Analysis of the solutions of coupled nonlinear fractional reaction–diffusion equations (2009) (77)
Analysis of Swept Volume via Lie Groups and Differential Equations (1992) (77)
Transient and steady state of a rising bubble in a viscoelastic fluid (2007) (75)
Fractal geometry model for wear prediction (1993) (73)
Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis (2011) (62)
Analysis and modelling of deformed swept volumes (1994) (61)
Trimming swept volumes (1999) (47)
IUTAM Symposium on Segregation in Granular Flows (2000) (38)
Swept volume: a retrospective and prospective view (1997) (34)
A new fractal model for anisotropic surfaces (1998) (34)
Fractal geometry modeling with applications in surface characterisation and wear prediction (1995) (34)
A Verification Program for 5-Axis NC Machining with General APT Tools (1997) (29)
Application of Flows and Envelopes to NC Machining (1992) (28)
Generating swept solids for NC verification using the SEDE method (1997) (27)
Lie-algebraic structure of Lax–Sato integrable heavenly equations and the Lagrange–d’Alembert principle (2017) (27)
Fractal Analysis of Height Distributions of Anisotropic Rough Surfaces (1998) (27)
On swept volume formulations: implicit surfaces (2001) (27)
A General Fractal Distribution Function for Rough Surface Profiles (1996) (26)
CREATION OF FREEFORM SOLID MODELS IN VIRTUAL REALITY (2001) (26)
Simulation of NC Machining with Cutter Deflection by Modelling Deformed Swept Volumes (1998) (23)
Dynamical properties of discrete Lotka–Volterra equations (2001) (23)
KAM theory analysis of the dynamics of three coaxial vortex rings (2000) (22)
Mathematical modeling of the movement of suspended particles subjected to acoustic and flow fields (2005) (22)
Neimark-Sacker bifurcations and evidence of chaos in a discrete dynamical model of walkers (2015) (21)
On the exponentially self-regulating population model (2002) (18)
New Mathematical Models for Particle Flow Dynamics (1999) (18)
Studies of perturbed three vortex dynamics (2006) (17)
The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I (1997) (15)
Strange attractors for asymptotically zero maps (2013) (14)
The Integrability of Lie-invariant Geometric Objects Generated by Ideals in the Grassmann Algebra (1998) (14)
Determination of Flat-End Cutter Orientation in 5-Axis Machining (1996) (14)
Lax-type flows on Grassmann manifolds and dual momentum mappings (1997) (13)
Fractionation and Segregation of Suspended Particles Using Acoustic and Flow Fields (2003) (13)
Transition from Quasiperiodicity to Chaos for Three Coaxial Vortex Rings (2000) (12)
Walking droplets through the lens of dynamical systems (2020) (12)
Dark Equations and Their Light Integrability (2014) (12)
Swept-Volume Computation for Machining Simulation and Virtual Reality Application (1999) (12)
Singularity Theory Approach to swept Volumes (2000) (11)
Mathematical Foundations of the Classical Maxwell-Lorentz Electrodynamic Models in the Canonical Lagrangian and Hamiltonian Formalisms (2013) (11)
On the inf-type extremality solutions to Hamilton-Jacobi equations, their regularity properties, and some generalizations (2003) (11)
Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type (2014) (10)
A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion (2004) (10)
The uniqueness of limit cycles for Liénard system (2005) (10)
Sigma map dynamics and bifurcations (2017) (10)
CLOSED-FORM SWEPT VOLUME OF IMPLICIT SURFACES (2000) (10)
A geometrical approach to quantum holonomic computing algorithms (2004) (9)
A Unified Localizable Emergency Events Scale (2009) (9)
Tapping dynamics for a column of particles and beyond (2011) (9)
Surface integral of Its Mean Curvature Vector (1985) (9)
The describing function for bounded nonlinearities (1981) (9)
Interesting bifurcations in walking droplet dynamics (2020) (9)
Evolution of solids fraction surfaces in tapping: simulation and dynamical systems analysis (2012) (9)
The mathematical theory of chaos (1986) (9)
Qualitative models and experimental investigation of chaotic NOR gates and set/reset flip-flops (2017) (8)
Experimental, Simulation and Nonlinear Dynamics of Galton's Board (2004) (8)
Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems (2017) (8)
Hamiltonian Structure of Benney Type Hydrodynamic and Boltzmann-Vlasov Kinetic Equations on an Axis and Some Applications to Manufacturing Science (1999) (8)
The integrable heavenly type equations and their Lie-algebraic structure (2016) (7)
Pitchfork bifurcations of invariant manifolds (2004) (7)
Vortex dominated flows : a volume celebrating Lu Ting's 80th birthday (2005) (7)
Integrability analysis of regular and fractional Blackmore-Samulyak-Rosato fields (2010) (7)
A coaxial vortex ring model for vortex breakdown (2008) (7)
Tapped granular column dynamics: simulations, experiments and modeling (2016) (7)
Imbeddings of integral submanifolds and associated adiabatic invariants of slowly perturbed integrable Hamiltonian systems (1999) (7)
Implementation of SDE method to represent cutter swept volumes in 5-axis NC milling (1995) (6)
Classification and Analysis of Robot Swept Volumes (1992) (6)
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations (2012) (6)
Reduced Pre-Lie Algebraic Structures, the Weak and Weakly Deformed Balinsky-Novikov Type Symmetry Algebras and Related Hamiltonian Operators (2018) (6)
Discrete dynamical modeling and analysis of the R–S flip-flop circuit (2009) (6)
Generalized Attracting Horseshoes and Chaotic Strange Attractors (2016) (5)
THE AKNS HIERARCHY REVISITED: A VERTEX OPERATOR APPROACH AND ITS LIE-ALGEBRAIC STRUCTURE (2010) (5)
Solutocapillary Marangoni flow induced in a waterbody by a solute source (2020) (5)
Maxwell–Lorentz Electrodynamics Revisited via the Lagrangian Formalism and Feynman Proper Time Paradigm (2015) (5)
The Novel Lie-Algebraic Approach to Studying Integrable Heavenly Type Multi-Dimensional Dynamical Systems (2017) (5)
The Lax solution to a Hamilton–Jacobi equation and its generalizations: Part 2 (2003) (4)
The Cartan-Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders (2007) (4)
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System (2012) (4)
A solution set analysis of a nonlinear operator equation using a Leray–Schauder type fixed point approach (2009) (4)
Exotic Bifurcations Inspired by Walking Droplet Dynamics (2017) (4)
Dynamics of a Two Species Oscillating Particle System (2000) (4)
Versal Deformations of a Dirac Type Differential Operator (1999) (4)
Energy decay in a tapped granular column: Can a one-dimensional toy model provide insight into fully three-dimensional systems? (2017) (4)
PHYLLOTAXIS AS A DYNAMICAL SYSTEM: A STUDY IN NUMBER (1998) (4)
Analysis, simulation and visualization of 1D tapping via reduced dynamical models (2014) (4)
A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy (2019) (4)
Integrability Analysis of a Two-Component Burgers-Type Hierarchy (2015) (3)
Simple dynamical models for vortex breakdown of the B-type (1994) (3)
Hidden Symmetries of Lax Integrable Nonlinear Systems (2013) (3)
Threshold voltage dynamics of chaotic RS flip-Flops (2017) (3)
Flows about a critical point with a single zero characteristic root (1973) (3)
Dynamical systems model and discrete element simulations of a tapped granular column (2013) (3)
Theory of Multidimensional Delsarte–Lions Transmutation Operators. II (2019) (3)
Isospectral integrability analysis of dynamical systems on discrete manifolds (2012) (3)
Long-time behavior of solutions and chaos in reaction-diffusion equations (2017) (3)
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators (2018) (3)
Periodic and Quasiperiodic Motion of Point Vortices (2005) (3)
A novel integrability analysis of a generalized Riemann type hydrodynamic hierarchy (2018) (2)
Analysis of the Motion and Deformation of a Bubble Rising in a Viscoelastic Fluid (2006) (2)
IUTAM Symposium on Segregation in Granular Flows : Proceedings of the IUTAM symposium held in Cape May, NJ, U.S.A., June 5-10, 1999 (2000) (2)
Quasi-linearization and stability analysis of some self-dual, dark equations and a new dynamical system (2022) (2)
On the Local Normalization of a Vector Field at a Degenerate Critical Point (1973) (2)
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation (2011) (2)
Hopf Algebras and Integrable Flows Related to the Heisenberg–Weil Coalgebra (2004) (2)
The Lax integrability of a two-component hierarchy of the Burgers type dynamical systems within asymptotic and differential-algebraic approaches (2013) (2)
On the lax solution to the Hamilton-Jacobi equation. Part I (2000) (2)
Computational Topology and Swept Volumes (2003) (2)
Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: The modern differential-geometric aspects (2005) (2)
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure (2010) (2)
Theory of Multidimensional Delsarte–Lions Transmutation Operators. I (2019) (2)
Swept-Volume Computation for Virtual Reality Application of Machining Simulation (1999) (2)
Computational differential topology (2007) (2)
Deformed Swept Volume Analysis to NC Machining Simulation with Cutter Deflection (1998) (2)
The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models (2012) (2)
Dispersionless Multi-Dimensional Integrable Systems and Related Conformal Structure Generating Equations of Mathematical Physics (2019) (1)
New fractional nonlinear integrable Hamiltonian systems (2019) (1)
Integrable discrete dynamics and Fibonacci sequences (1996) (1)
Flow induced on a salt waterbody due to the impingement of a freshwater drop or a water source (2017) (1)
The augmented unified localizable crisis scale (2015) (1)
Chapter 49 – Computational topology (2007) (1)
Generalized Attracting Horseshoe in the Rössler Attractor (2018) (1)
Dynamics in a confined mass–spring chain with 1∕r repulsive potential: Strongly nonlinear regime (2020) (1)
Dynamics of planar vortex clusters with binaries (2007) (1)
On the Liouville-Arnold Integrable Flows Related with Quantum Algebras and Their Poissonian Representations (2004) (1)
Entropy and Ergodicity of Boole-Type Transformations (2021) (1)
Non-associative structures of commutative algebras related with quadratic Poisson brackets (2020) (1)
Nonintegrable Perturbations of Two Vortex Dynamics (2008) (1)
On some class of factorized operator dynamical systems and their integrability (2019) (1)
Studies of Flow Induced on a Water Surface due to the Impingement of a Drop or a Water Source (2017) (1)
Accuracy and Computational Complexity Analysis of Design Models Created by Virtual Sculpting (2005) (1)
Simulation, modeling and dynamical analysis of multibody flows (2017) (1)
Integrability by Quadratures of Hamiltonian and Picard–Fuchs Equations: Modern Differential-Geometric Aspects (2011) (0)
Integrable Spatially Three-dimensional Coupled Dynamical Systems (2011) (0)
Tapped granular column dynamics: simulations, experiments and modeling (2015) (0)
The ω-limit sets of a flow and periodic orbits (2009) (0)
On the local chaos in reaction-diffusion equations (2017) (0)
EasyChair Preprint No 624 The dispersionless integrable systems and related conformal structure generating equations of mathematical physics (0)
Perturbed three point vortex problems (2005) (0)
Generalized Lie-algebraic structures related to integrable dispersionless dynamical systems and their application (2018) (0)
ÃLódź , December 8-10 , 2003 Extensions and Applications of the Poincaré-Birkhoff Theorem (2003) (0)
Geometric Aspects of the Isentropic Liquid Dynamics and Vorticity Invariants (2020) (0)
Geometric and Algebraic Properties of Nonlinear Dynamical Systems with Symmetry: Theory and Applications (2011) (0)
Hamiltonian Analysis and Integrability of Tensor Poisson Structures and Factorized Operator Dynamical Systems (2011) (0)
Theory and algorithms for swept manifold intersections (2005) (0)
THE AKNS HIERARCHY AND THE GUREVICH-ZYBIN DYNAMICAL SYSTEM INTEGRABILITY REVISITED (2012) (0)
a Dynamical Systems Description of the Topology of Space-Time Singularities (1983) (0)
Integrability Analysis of a Two-Component Burgers-Type Hierarchy (2015) (0)
A Multi-dimensional Generalization of Delsarte–Lions Transmutation Operator Theory via Spectral and Differential Geometric Reduction (2011) (0)
Infinite-dimensional Dynamical Systems (2011) (0)
The One-dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-based Proof (2023) (0)
Sigma map dynamics and bifurcations (2017) (0)
Characteristic Classes of Chern Type and Integrability of Systems on Riemannian Manifolds (2011) (0)
RS Flip-Flop Circuit Dynamics Revisited (2015) (0)
Two-Vortex Models for Vortex Breakdown (2008) (0)
On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries (2022) (0)
An example of a local flow on a manifold (1974) (0)
The dispersionless integrable systems and related conformal structure generating equations of mathematical physics (2019) (0)
Critical Solutions of Three Vortex Motion in the Parabolic Case (2008) (0)
Integrability Criteria for Dynamical Systems: the Gradient-Holonomic Algorithm (2011) (0)
SUPPLEMENT: Basics of Differential Geometry for Dynamical Systems (2011) (0)
The Pfeiffer-Lax-Sato type vector field equations and the related integrable versal deformations (2016) (0)
Versal Deformations of a Dirac Operator on a Sphere and Related Dynamical Systems (2011) (0)
Quantum mathematics: holonomic computing algorithms and their applications. Pt. 2 (2004) (0)
Algebraic, Analytic and Differential Geometric Aspects of Integrability for Systems on Functional Manifolds (2011) (0)
On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity (2007) (0)
Development of a dentin bonding agent: correlation of bond strength to microleakage (1989) (0)
Topological Characterization of Isolated Singularities of Infinite Dimensional Complex Hypersurfaces (2020) (0)
A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states (2013) (0)
MORSE INDEX FOR AUTONOMOUS LINEAR HAMILTONIAN SYSTEMS (2013) (0)
Fractal Geometry Based Model for a Musical Cymbal Design and Rapid Manufacturing (2007) (0)
ANALYSIS OF THE F. CALOGERO TYPE PROJECTION-ALGEBRAIC SCHEME FOR DIFFERENTIAL OPERATOR EQUATIONS (2010) (0)
Non-associative structures of commutative algebras related with quadratic Poisson brackets (2020) (0)
Quantum Mathematics: Introduction and Applications (2011) (0)
ON THE COMPLETE LAX TYPE INTEGRABILITY OF A GENERALIZED RIEMANN TYPE HYDRODYNAMIC SYSTEM (2021) (0)
Solvability, Completeness and Computational Analysis of A Perturbed Control Problem with Delays (2020) (0)
Invariant tori in perturbed three vortex motion (2007) (0)
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations (2013) (0)
VERSAL DEFORMATIONS OF AFFINE VECTOR FIELDS ON TORUS (2017) (0)
DETC 2000 / DAC-14232 CLOSED-FORM SWEPT VOLUME OF IMPLICIT SURFACES (2000) (0)
Chaos in a simple identification/counter model (1988) (0)
Cooling of a Tapped Granular Column (2013) (0)
Statistically Optimal Strategy Analysis of a Competing Portfolio Market with a Polyvariant Profit Function (2010) (0)
A vertex operator representation of solutions to a Riemann type hydrodynamical hierarchy (2011) (0)
2 1 N ov 2 00 4 Pitchfork bifurcations of invariant manifolds (2004) (0)
Vorticity jumps across shock surfaces (2003) (0)
On the Lax Solution to the Hamilton–Jacobi Equation and Its Generalizations. Part II (2001) (0)
Generalized formulation for strip yielding model with variable cohesion and its analytical solutions (2000) (0)
Evolution of solids fraction surfaces in tapping: simulation and dynamical systems analysis (2012) (0)
Fractal Geometry Surface Modeling and Measurement for Musical Cymbal Surface Texture Design and Rapid Manufacturing (2010) (0)
Reduced Dynamical Models for 1D Tapping of Particle Columns (2013) (0)
Frontiers of Applied and Computational Mathematics : New Jersey Institute of Technology, USA, 19-21 May 2008 (2008) (0)
General Properties of Nonlinear Dynamical Systems (2011) (0)
Dynamics of a Tapped Granular Column (2015) (0)
Flow induced on a waterbody by a source (2017) (0)
Higher Order Conditions for Weak Shocks: Modified Prandtl Relation (2002) (0)
Se p 20 06 Studies of perturbed three vortex dynamics (2006) (0)
Lagrangian and Hamiltonian Analysis of Relativistic Electrodynamic and String Models (2011) (0)
Interesting Features of Three-Dimensional Discrete Lotka-Volterra Dynamics (2021) (0)

This paper list is powered by the following services:

Other Resources About Denis Blackmore

en.wikipedia.org

What Schools Are Affiliated With Denis Blackmore?

Denis Blackmore is affiliated with the following schools:

Image Attributions

Image Source for Denis Blackmore