Investigation of dynamical systems using tools of the theory of invariants and projective geometry
, 1997 The investigation of nonlinear dynamical systems of the type $\dot{x}=P(x,y,z),\dot{y}=Q(x,y,z),\dot{z}=R(x,y,z)$ by means of reduction to some ordinary differential equations of the second order in the form $y''+a_1(x,y)y'^3+3a_2(x,y)y'^2+3a_3(x,y)y ...
Bordag, L. A., Dryuma, V. S.
core +1 more source
Discussion: “A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems” (Staffeld, S. E., 1962, ASME J. Eng. Ind., 84, pp. 418–421) [PDF]
, 1962 E. H. Stepp
+6 more sources
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
, 2012 A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A. +19 more
core +1 more source
Mathematical Modeling and Dynamic Analysis of Complex Biological Systems [PDF]
Complexity, 2019 info:eu-repo/semantics ...
Vande Wouwer, Alain +3 more
openaire +4 more sources
Invariance Conditions for Nonlinear Dynamical Systems
, 2016 Recently, Horv\'ath, Song, and Terlaky [\emph{A novel unified approach to invariance condition of dynamical system, submitted to Applied Mathematics and Computation}] proposed a novel unified approach to study, i.e., invariance conditions, sufficient and
A.M. Aliluiko +21 more
core +1 more source
Mathematical Modeling of Yarn Dynamics in a Generalized Twisting System [PDF]
Scientific Reports, 2016 AbstractTwisting is an important process to form a continuous yarn from short fibres and to determine the structure and properties of the resultant yarn. This paper proposes a new theoretical model of yarn dynamics in a generalized twisting system, which deals with two important phenomena simultaneously, that is, twist generation and twist propagation.
Yin, R, Tao, XM, Xu, BG
openaire +3 more sources
Ergodic optimization of prevalent super-continuous functions
, 2015 Given a dynamical system, we say that a performance function has property P if its time averages along orbits are maximized at a periodic orbit. It is conjectured by several authors that for sufficiently hyperbolic dynamical systems, property P should be
Bochi, Jairo, Zhang, Yiwei
core +1 more source
The Thayer Method: Student Active Learning with Positive Results [PDF]
, 2000 Graduation from West Point requires successful completion of four courses in the mathematical sciences. These core mathematics courses include topics in discrete dynamical systems, differential and integral calculus (single variable and multivariable ...
Connors, E.
core +1 more source
Dynamic mathematical model of the lubrication system
Journal of Dynamics and Vibroacoustics, 2014 The object of research is the lubrication system with supply and scavenges oil gear pumps with electric drives. Analyzed the features of the workflow in aggregates lubrication systems, and evaluated the possibility of applying a homogeneous model for the description of a two-phase mixture of "oil foam".
Yuri. M. Shchurovskiy +1 more
openaire +2 more sources
Mathematical tools for identifying the fetal response to physical exercise during pregnancy [PDF]
, 2008 In the applied mathematics literature there exist a significant number of tools that can reveal the interaction between mother and fetus during rest and also during and after exercise.
Barakat Carballo, Ruben +2 more
core +2 more sources