This paper investigates the dynamical behavior of an assembled beam like structure with tip masses modeling a two stage space rocket structure. The beam like structure is composed of two beams connected together carrying two masses at the free ends to model the payload, and the stabilizing fins mass properties. The effect of non-homogeneity of the structure due to different cross section proper...

Biology is the study of dynamical systems. Yet most of us working in biology have limited pedagogical training in the theory of dynamical systems, an unfortunate historical fact that can be remedied for future generations of life scientists. In my particular field of systems neuroscience, neural circuits are rife with nonlinearities at all levels of description, rendering simple methodologies a...

This paper demonstrates the feasibility of modeling any dynamical system using a set of fractional order differential equations, including distributed and lumped systems. Fractional order differentiators and integrators are the basic elements of these equations representing the real model of the dynamical system, which in turn implies the necessity of using fractional order controllers instead ...

A cold room assisted vapor-compression refrigeration cycle is dynamically modeled in a year and optimized. Total annual cost (TACO) and coefficient of performance (COP) are selected as two objective functions. Both cold room and refrigeration cycle parameters are considered as design variables. Moreover, three working fluids included R22, R134a and R407c are examined. The optimum Pareto front r...

In this paper, a generalized mathematical model of spread of infectious disease as SIRS epidemic model is considered as a nonlinear system of differential equation. We prove that for positive initial conditions the resulting equivalence system has positive solution and under some hypothesis, this system with initial positive condition, has a positive $T$-periodic solution which is globally asym...

Fluidity in attractions and behaviors among same-sex attracted women has been well-documented, suggesting the appropriateness of dynamical systems modeling of these phenomena over time. As dynamical systems modeling offer an approach to explaining the patterns of complex phenomena, it may be apt for explaining variability in female same-sex sexuality. The present research is the first applicati...

When we build simulation models and construct dynamical models for physical systems, we often do not do so using a clear overall framework that organizes our geometry, dynamics and models. How do geometry and dynamics intertwine to eeect system change over multiple abstraction levels? We present a methodology, called object-oriented physical modeling (OOPM), which builds on the currently accept...

Predictive models for the dynamical behavior of complex structures are inevitably confronted to data uncertainties and modeling errors. Uncertain data include material properties, geometric parameters and boundary conditions. Modeling errors are introduced by the assumptions and approximations made in the modeling process. The data uncertainties and modeling errors may sometimes result in signi...

Modeling emotional-cognition is in a nascent stage and therefore wide-open for new ideas and discussions. In this paper the author looks at the modeling problem by bringing in ideas from axiomatic mathematics, information theory, computer science, molecular biology, non-linear dynamical systems and quantum computing and explains how ideas from these disciplines may have applications in modeling...